DP Physics Questionbank
Topic 1: Measurements and uncertainties
Description
Overview of the essential ideas for this topic
1.1: Since 1948, the Système International d’Unités (SI) has been used as the preferred language of science and technology across the globe and reflects current best measurement practice.
1.2: Scientists aim towards designing experiments that can give a “true value” from their measurements, but due to the limited precision in measuring devices, they often quote their results with some form of uncertainty.
1.3: Some quantities have direction and magnitude, others have magnitude only, and this understanding is the key to correct manipulation of quantities. This sub-topic will have broad applications across multiple fields within physics and other sciences.
Directly related questions
- 18M.3.SL.TZ2.2c: Explain the disadvantage that a graph of I versus \(\frac{1}{{{x^2}}}\) has for the analysis...
- 18M.3.SL.TZ2.2b.ii: Determine P, to the correct number of significant figures including its unit.
- 18M.3.SL.TZ2.2b.i: Estimate C.
- 18M.3.SL.TZ2.2a: This relationship can also be written as follows. \[\frac{1}{{\sqrt I }} = Kx + KC\] Show...
- 18M.3.SL.TZ2.1b: Using the following...
- 18M.3.SL.TZ2.1a: Determine the distance fallen, in m, by the centre of mass of the sphere including an estimate of...
- 18M.2.SL.TZ2.1a.ii: On the diagram, construct an arrow of the correct length to represent the weight of the ball.
- 18M.1.SL.TZ2.10: Which is a unit of force? A. J m B. J m–1 C. J m s–1 D. J m–1 s
- 18M.1.SL.TZ2.2: The velocities vX and vY of two boats, X and Y, are shown. Which arrow represents the...
- 18M.1.SL.TZ2.1: What is the best estimate for the diameter of a helium nucleus? A. 10–21 m B. 10–18...
- 18M.3.SL.TZ1.2c: Outline how using a variable resistance could improve the accuracy of the value found for the...
- 18M.3.SL.TZ1.2b: It is noticed that the resistor gets warmer. Explain how this would affect the calculated value...
- 18M.3.SL.TZ1.2a: Draw a suitable circuit diagram that would enable the internal resistance to be determined.
- 18M.3.SL.TZ1.1d: State how the value of K can be obtained from the graph.
- 18M.3.SL.TZ1.1c: The student plots a graph to show how P2 varies with \(\frac{1}{B}\) for the data. Sketch the...
- 18M.3.SL.TZ1.1b.iii: State the unit of K.
- 18M.3.SL.TZ1.1b.ii: A student forms a hypothesis that the period of one oscillation P is given...
- 18M.3.SL.TZ1.1b.i: Write down the time taken for one oscillation when B = 0.005 T with its absolute uncertainty.
- 18M.3.SL.TZ1.1a: Draw on the graph the line of best fit for the data.
- 18M.1.SL.TZ1.2: A river flows north. A boat crosses the river so that it only moves in the direction east of its...
- 18M.1.SL.TZ1.1: A student measures the radius r of a sphere with an absolute uncertainty Δr. What is the...
- 17N.1.SL.TZ0.30: The diagram shows an analogue meter with a mirror behind the pointer. What is the main purpose...
- 17N.1.SL.TZ0.2: An object is positioned in a gravitational field. The measurement of gravitational force...
- 17N.1.SL.TZ0.1: How many significant figures are there in the number 0.0450? A. 2 B. 3 C. 4 D. 5
- 17N.1.HL.TZ0.1: What is a correct value for the charge on an electron? A. 1.60 x 10–12 μC B. 1.60 x 10–15...
- 17M.3.SL.TZ2.2c.ii: After taking measurements the student observes that the ammeter has a positive zero error....
- 17M.3.SL.TZ2.2c.i: State what is meant by a zero error.
- 17M.3.SL.TZ2.1c.ii: Determine the distance travelled inside the conductor by very high frequency electromagnetic waves.
- 17M.3.SL.TZ2.1c.i: State the fundamental SI unit of the constant a and of the constant b.
- 17M.3.SL.TZ2.1b.ii: percentage uncertainty in d 2.
- 17M.3.SL.TZ2.1b.i: fractional uncertainty in d.
- 17M.3.SL.TZ2.1a: Suggest why it is unlikely that the relation between d and \(\lambda \) is linear.
- 17M.3.SL.TZ1.2b: In a different experiment a student investigates the dependence of the period T of a simple...
- 17M.3.SL.TZ1.2a: In a simple pendulum experiment, a student measures the period T of the pendulum many times and...
- 17M.3.SL.TZ1.1e: The equation in (b) may be used to predict the pressure of the air at extremely large values of...
- 17M.3.SL.TZ1.1b: The following graph of p versus \(\frac{1}{H}\) was obtained. Error bars were negligibly...
- 17M.2.SL.TZ2.1g: At a particular instant in the flight the glider is losing 1.00 m of vertical height for every...
- 17M.1.SL.TZ2.2: Which is a vector quantity? A. Pressure B. Electric current C. Temperature D. Magnetic field
- 17M.1.SL.TZ2.1: A stone falls from rest to the bottom of a water well of depth d. The time t taken to fall is 2.0...
- 17M.1.SL.TZ1.2: Which of the following is a scalar quantity? A. VelocityB. MomentumC. Kinetic energyD....
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.1.SL.TZ1.1: What is the unit of electrical energy in fundamental SI units? A. kg m2 C–1 sB. kg m s–2C. kg...
- 16N.3.SL.TZ0.2b: The experiment is repeated using a different gas in the glass jar. The pressure for both...
- 16N.3.SL.TZ0.2a: The graph shows the data recorded. Identify the fundamental SI unit for the gradient of the...
- 16N.3.SL.TZ0.1b: A graph of the variation of OY with OX is plotted. (i) Draw, on the graph, the error bars for OY...
- 16N.3.SL.TZ0.1a: (i) Outline why OY has a greater percentage uncertainty than OX for each pair of data...
- 16M.3.SL.TZ0.2c: After correcting the adjustment of the travelling microscope, the student repeats the experiment...
- 16M.3.SL.TZ0.2b: After the experiment, the student finds that the travelling microscope is badly adjusted so that...
- 16M.3.SL.TZ0.2a: The refractive index of the glass from which the slide is made is given...
- 16M.3.SL.TZ0.1c: The student hypothesizes that the relationship between x and t is \(x = \frac{a}{t}\) where a is...
- 16M.3.SL.TZ0.1b: Calculate the percentage uncertainty for the displacement when t=40s.
- 16N.1.SL.TZ0.3: A car moves north at a constant speed of 3m s–1 for 20s and then east at a constant speed of 4m...
- 16N.1.SL.TZ0.2: Light of wavelength 400nm is incident on two slits separated by 1000µm. The interference pattern...
- 16N.1.SL.TZ0.1: A boy jumps from a wall 3m high. What is an estimate of the change in momentum of the boy when he...
- 16M.1.SL.TZ0.2: A swimming pool contains 18×106 kg of pure water. The molar mass of water is 18gmol–1. What is...
- 16M.1.SL.TZ0.1: A sphere fits inside a cube. The length of the cube and the diameter of the...
- 10N.2.SL.TZ0.A1c: The student hypothesizes that v is proportional to n. Use the data points for \(n = 2\) and...
- 10N.2.SL.TZ0.A1b: On the graph, draw a line of best-fit for the data points.
- 10N.2.SL.TZ0.A1d: Another student hypothesized that \(v\) might be proportional to \(n\). To verify this hypothesis...
- 10N.2.SL.TZ0.A1a.ii: On the graph, draw an error bar on the point corresponding to \(n = 6\).
- 10N.2.SL.TZ0.A1a.i: Calculate the absolute uncertainty in the terminal speed of the paper toy for \(n = 6\).
- 10N.1.SL.TZ0.2: An object falls for a time of 0.25 s. The acceleration of free fall is...
- 10N.1.SL.TZ0.1: Which of the following is equivalent to the joule? A. ...
- 10N.1.HL.TZ0.2: Two lengths, \(a\) and \(b\), are measured to be \(51 \pm 1{\text{ cm}}\) and...
- 10M.1.SL.TZ1.2: The length of each side of a sugar cube is measured as 10 mm with an uncertainty of...
- 10M.1.SL.TZ1.1: The best estimate for the time it takes light to cross the nucleus of the hydrogen atom is A. ...
- 09M.1.SL.TZ1.2: The masses and weights of different objects are independently measured. The graph is a plot of...
- 09M.1.SL.TZ1.1: A volume is measured to be \({\text{52 m}}{{\text{m}}^{\text{3}}}\). This volume in...
- 14M.2.SL.TZ2.1d: Later that day a second set of data was collected starting at \(t = 0\). The variation of...
- 14M.2.SL.TZ2.1c: The power P produced by the array is calculated from the generated emf V and the fixed resistance...
- 14M.2.SL.TZ2.1b: The average power consumed in the house between 08:00 and 12:00 is 2.0 kW. Determine the energy...
- 14M.2.SL.TZ2.1a: Using the graph, estimate the time of day at which the array begins to generate energy.
- 14N.2.SL.TZ0.1d.ii: Determine the uncertainty in the power dissipated by the thermistor at \(T = 283{\text{ K}}\).
- 14N.2.SL.TZ0.1d.i: Calculate the power dissipated by the thermistor at \(T = 283{\text{ K}}\).
- 14N.2.SL.TZ0.1c: The uncertainty in the resistance value is 5%. The uncertainty in the temperature is negligible....
- 14N.2.SL.TZ0.1b.ii: State the unit for your answer to (b)(i).
- 14N.2.SL.TZ0.1b.i: Calculate the gradient of the graph when \(T = 291{\text{ K}}\).
- 14N.2.SL.TZ0.1a: Draw the best-fit line for the data points.
- 15N.2.SL.TZ0.1d: Another hypothesis is that \({h_{{\text{mean}}}} = K{T^3}\) where \(K\) is a constant. Using the...
- 15N.2.SL.TZ0.1c.ii: The temperature is measured using a liquid in glass thermometer. State what physical...
- 15N.2.SL.TZ0.1c.i: State the uncertainty in each value of \(T\).
- 15N.2.SL.TZ0.1b: State why the line of best-fit suggests that \({h_{{\text{mean}}}}\) is not proportional to \(T\).
- 15N.2.SL.TZ0.1a: Draw the line of best-fit for the data.
- 15N.2.HL.TZ0.1c.ii: The temperature is measured using a liquid in glass thermometer. Explain why it is likely that...
- 15N.2.HL.TZ0.1b.ii: Suggest why using two points cannot confirm that \({h_{{\text{mean}}}}\) is proportional to...
- 15N.2.HL.TZ0.1b.i: Comment, using two points on your line of best-fit, whether or not this is a valid hypothesis.
- 15N.1.SL.TZ0.1: Which of the following is a derived unit? A. Mole B. Kelvin C. Coulomb D. Ampere
- 15M.1.SL.TZ1.2: A velocity of 5 m s−1 can be resolved along perpendicular directions XY and XZ. The component...
- 15M.1.SL.TZ1.25: What is the unit of energy density? A. J kg−1 B. J kg−1 m3 C. J mol−1 D. J K−1
- 15M.1.SL.TZ2.2: The graph shows a set of experimental results to determine the density of oil. The results have...
- 15M.1.SL.TZ2.1: Which of the following expresses the watt in terms of fundamental units? A. kg m2 s B. kg m2...
- 15M.1.HL.TZ2.39: Which of the following expresses the units of capacitance in terms of fundamental units? A....
- 15M.2.HL.TZ1.1c: The equation of the trend line shown in (b) is given by R = −0.0005h2 + 0.0843h − 1.5632. (i)...
- 15M.2.HL.TZ1.1d: The student estimates that the uncertainty in timing 100s is ±1s. Using the data on the graph,...
- 15M.2.SL.TZ2.1a: A student measures T for one length l to determine the value of g. Time \(T = 1.9s \pm 0.1s\) and...
- 14M.1.SL.TZ1.1: The radius of a sphere is measured with an uncertainty of 2%. What is the uncertainty in the...
- 14M.1.SL.TZ1.2: The force of air resistance F that acts on a car moving at speed v is given by F=kv2 where k is a...
- 14M.1.HL.TZ1.2: The volume V of a cylinder of radius R and height H is given by V = \(\pi \)R2H. The volume of...
- 14M.1.SL.TZ2.1: Which of the following is a unit of energy? A. kg m–1 s–1B. kg m2 s–2C. kg m s–2D. kg m2 s–1
- 14M.2.SL.TZ1.1b: Sophie suggests that the relationship between T and B is of the...
- 14M.2.SL.TZ1.1a: Connie suggests that T is proportional to B, where B is the percentage of black in the paint. To...
- 14N.1.SL.TZ0.2: The maximum acceleration amax of an oscillator undergoing simple harmonic motion (SHM) has a...
- 14N.1.SL.TZ0.1: Which of the following is a fundamental unit? A. Ampere B. Coulomb C. Ohm D. Volt
- 11N.1.SL.TZO.2: The resistive force F acting on a sphere of radius r travelling with speed v through a liquid is...
- 11N.1.SL.TZO.3: A small object is attached to a string and rotated in a circle of constant radius in a horizontal...
- 11N.1.SL.TZO.4: The vector diagram shows two forces acting on a point object O. The forces are in the plane of...
- 12N.1.SL.TZ0.1: The graph shows the relationship between two quantities p and q. The gradient of the graph is r...
- 12N.1.SL.TZ0.4: What is the correct SI unit for momentum? A. kg m–1s–1B. kg m2s–1C. kg ms–1D. kg ms–2
- 12N.1.SL.TZ0.2: Aiming for the centre of a target, an archer fires arrows which produces a pattern of hits as...
- 12N.1.SL.TZ0.3: The acceleration of free fall g is determined by the relationship...
- 13N.1.SL.TZ0.2: Which of the following lists two vector quantities and one scalar quantity? A. force, mass,...
- 13N.1.SL.TZ0.1: The sides of a square are measured to be 5.0 ± 0.2 cm. Which of the following gives the area of...
- 12M.1.SL.TZ2.1: Which of the following is a fundamental SI unit? A. AmpereB. JouleC. NewtonD. Volt
- 12M.1.SL.TZ1.1: What is the order of magnitude of the mass, in kg, of an apple? A. 10-3 B. 10-1 C. 10+1 D. 10+3
- 12M.1.SL.TZ1.2: The diagram below shows the forces acting on a block of weight W as it slides down a slope. The...
- 11M.1.SL.TZ2.1: Which of the following will reduce random errors in an experiment? A. Using an instrument...
- 13M.2.SL.TZ1.1a: Outline why the student has recorded the ε values to different numbers of significant digits but...
- 13M.2.SL.TZ1.1b: On looking at the results the student suggests that ε could be inversely proportional to d. He...
- 13M.2.SL.TZ1.1c: The graph shows some of the data points with the uncertainty in the d values.On the graph (i)...
- 13M.2.SL.TZ1.1d: All values of ε have a percentage uncertainty of ±3%. Calculate the percentage uncertainty in the...
- 12M.1.SL.TZ2.2: An object slides down an inclined plane that makes an angle θ with the horizontal. The weight of...
- 12M.1.HL.TZ2.6: A ball is thrown with velocity u at an angle of 55° above the horizontal. Which of the following...
- 11M.1.SL.TZ2.7: A stone attached to a string is moving in a horizontal...
- 11M.1.SL.TZ2.2: A body accelerates from rest with a uniform acceleration a for a time t. The uncertainty in...
- 11M.1.SL.TZ2.3: Which of the following lists two scalar quantities? emf, momentum emf,...
- 12M.2.SL.TZ2.1a: Draw a best-fit line for the data.
- 12M.2.SL.TZ2.1c: Another suggestion is that the relationship between ƒ and h is of the form shown below, where k...
- 13M.2.HL.TZ1.1d: The student hypothesises that there may be an exponential relationship between ε and d of the...
- 12M.2.SL.TZ2.1b: It is hypothesized that the frequency ƒ is inversely proportional to the height h. By choosing...
- 12M.2.SL.TZ2.1d: State one reason why the results of the experiment could not be used to predict the natural...
- 13M.2.SL.TZ2.1a: An experiment was undertaken to investigate one of the circuit properties of a capacitor. A...
- 13M.2.SL.TZ2.1c: The time constant τ = RC where R is the resistance and C is a property called capacitance. The...
- 13M.2.SL.TZ2.1b: The time constant τ of the circuit is defined as the time it would take for the capacitor to...
- 13M.1.SL.TZ2.1: The length of the side of a cube is 10.0 ±0.3cm. What is the uncertainty in the volume of the...
- 13M.1.SL.TZ2.2: Which of the following lists three vector quantities? A. momentum, electric field strength,...
- 11M.2.SL.TZ2.1a: (i) why v is not directly proportional to λ. (ii) the value of v for...
- 11M.2.SL.TZ2.1b: It is suggested that the relationship between v and λ is of the...
- 12M.2.SL.TZ1.1a: (i) Draw the straight line that best fits the data. (ii) State why the data do not support the...
- 12M.2.SL.TZ1.1b: Another student suggests that the relationship between t and h is of the...
- 11N.2.SL.TZ0.1a: Caroline calculated the wave speed by measuring the time t for the wave to travel 150 cm. The...
- 11N.2.SL.TZ0.1b: Caroline hypothesized that the wave speed c is directly proportional to the water depth d. (i)...
- 11N.2.SL.TZ0.1d: There is a systematic error in Caroline’s determination of the depth. (i) State what is meant by...
- 11N.2.SL.TZ0.1c: Another student proposes that c is proportional to d0.5. State a suitable graph that can be...
- 12N.2.SL.TZ0.1a: (i) On the graph opposite, draw error bars on the first and last points to show the uncertainty...
- 12N.2.SL.TZ0.1c: Theory suggests that the relation between v and W is \[v = k{W^3}\] where k is a constant. To...
- 12N.2.SL.TZ0.1d: (i) Using the graph in (c), determine k without its uncertainty. (ii) State an appropriate unit...
- 13N.2.SL.TZ0.1b: With reference to your answer to (a), (i) explain why the relationship between d and l is not...
- 13N.2.SL.TZ0.1a: Draw a best-fit line for the data points on the graph opposite.
- 13N.2.SL.TZ0.1c: Before the experiment was carried out, it was hypothesized that d depends on \(\sqrt l \)....
- 11M.1.SL.TZ1.1: Which of the following contains one fundamental and one derived unit?
- 11M.1.SL.TZ1.2: The current I through a resistor is measured with a digital ammeter to be 0.10 A. The uncertainty...
- 11M.2.SL.TZ1.1c: Theory suggests that D2 = kn. A graph of D2 against n is shown below. Error bars are shown for...
- 11M.2.HL.TZ1.1c: It is suggested that the relationship between D and n is of the form D = cnp where c and p...
Sub sections and their related questions
1.1 – Measurements in physics
- 15M.1.SL.TZ1.25: What is the unit of energy density? A. J kg−1 B. J kg−1 m3 C. J mol−1 D. J K−1
- 15M.1.SL.TZ2.1: Which of the following expresses the watt in terms of fundamental units? A. kg m2 s B. kg m2...
- 15M.1.HL.TZ2.39: Which of the following expresses the units of capacitance in terms of fundamental units? A....
- 15M.2.SL.TZ2.1a: A student measures T for one length l to determine the value of g. Time \(T = 1.9s \pm 0.1s\) and...
- 14M.1.SL.TZ1.2: The force of air resistance F that acts on a car moving at speed v is given by F=kv2 where k is a...
- 14M.1.SL.TZ2.1: Which of the following is a unit of energy? A. kg m–1 s–1B. kg m2 s–2C. kg m s–2D. kg m2 s–1
- 15N.1.SL.TZ0.1: Which of the following is a derived unit? A. Mole B. Kelvin C. Coulomb D. Ampere
- 14N.1.SL.TZ0.1: Which of the following is a fundamental unit? A. Ampere B. Coulomb C. Ohm D. Volt
- 14M.2.SL.TZ2.1a: Using the graph, estimate the time of day at which the array begins to generate energy.
- 14M.2.SL.TZ2.1b: The average power consumed in the house between 08:00 and 12:00 is 2.0 kW. Determine the energy...
- 14M.2.SL.TZ2.1c: The power P produced by the array is calculated from the generated emf V and the fixed resistance...
- 14M.2.SL.TZ2.1d: Later that day a second set of data was collected starting at \(t = 0\). The variation of...
- 11N.1.SL.TZO.2: The resistive force F acting on a sphere of radius r travelling with speed v through a liquid is...
- 12N.1.SL.TZ0.1: The graph shows the relationship between two quantities p and q. The gradient of the graph is r...
- 12N.1.SL.TZ0.4: What is the correct SI unit for momentum? A. kg m–1s–1B. kg m2s–1C. kg ms–1D. kg ms–2
- 12M.1.SL.TZ2.1: Which of the following is a fundamental SI unit? A. AmpereB. JouleC. NewtonD. Volt
- 12M.1.SL.TZ1.1: What is the order of magnitude of the mass, in kg, of an apple? A. 10-3 B. 10-1 C. 10+1 D. 10+3
- 12M.2.SL.TZ2.1a: Draw a best-fit line for the data.
- 12M.2.SL.TZ2.1b: It is hypothesized that the frequency ƒ is inversely proportional to the height h. By choosing...
- 12M.2.SL.TZ2.1c: Another suggestion is that the relationship between ƒ and h is of the form shown below, where k...
- 12M.2.SL.TZ2.1d: State one reason why the results of the experiment could not be used to predict the natural...
- 13M.2.HL.TZ1.1d: The student hypothesises that there may be an exponential relationship between ε and d of the...
- 12M.2.SL.TZ1.1a: (i) Draw the straight line that best fits the data. (ii) State why the data do not support the...
- 12M.2.SL.TZ1.1b: Another student suggests that the relationship between t and h is of the...
- 12N.2.SL.TZ0.1a: (i) On the graph opposite, draw error bars on the first and last points to show the uncertainty...
- 12N.2.SL.TZ0.1c: Theory suggests that the relation between v and W is \[v = k{W^3}\] where k is a constant. To...
- 12N.2.SL.TZ0.1d: (i) Using the graph in (c), determine k without its uncertainty. (ii) State an appropriate unit...
- 11M.1.SL.TZ1.1: Which of the following contains one fundamental and one derived unit?
- 11M.2.SL.TZ1.1c: Theory suggests that D2 = kn. A graph of D2 against n is shown below. Error bars are shown for...
- 09M.1.SL.TZ1.1: A volume is measured to be \({\text{52 m}}{{\text{m}}^{\text{3}}}\). This volume in...
- 10N.1.SL.TZ0.1: Which of the following is equivalent to the joule? A. ...
- 10N.1.SL.TZ0.2: An object falls for a time of 0.25 s. The acceleration of free fall is...
- 10N.2.SL.TZ0.A1a.i: Calculate the absolute uncertainty in the terminal speed of the paper toy for \(n = 6\).
- 10N.2.SL.TZ0.A1a.ii: On the graph, draw an error bar on the point corresponding to \(n = 6\).
- 10N.2.SL.TZ0.A1d: Another student hypothesized that \(v\) might be proportional to \(n\). To verify this hypothesis...
- 10N.2.SL.TZ0.A1b: On the graph, draw a line of best-fit for the data points.
- 10N.2.SL.TZ0.A1c: The student hypothesizes that v is proportional to n. Use the data points for \(n = 2\) and...
- 16M.1.SL.TZ0.2: A swimming pool contains 18×106 kg of pure water. The molar mass of water is 18gmol–1. What is...
- 16N.1.SL.TZ0.1: A boy jumps from a wall 3m high. What is an estimate of the change in momentum of the boy when he...
- 16N.1.SL.TZ0.2: Light of wavelength 400nm is incident on two slits separated by 1000µm. The interference pattern...
- 16N.3.SL.TZ0.2a: The graph shows the data recorded. Identify the fundamental SI unit for the gradient of the...
- 16N.3.SL.TZ0.2b: The experiment is repeated using a different gas in the glass jar. The pressure for both...
- 17M.1.SL.TZ1.1: What is the unit of electrical energy in fundamental SI units? A. kg m2 C–1 sB. kg m s–2C. kg...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.3.SL.TZ1.1b: The following graph of p versus \(\frac{1}{H}\) was obtained. Error bars were negligibly...
- 17M.3.SL.TZ1.1e: The equation in (b) may be used to predict the pressure of the air at extremely large values of...
- 17M.3.SL.TZ1.2b: In a different experiment a student investigates the dependence of the period T of a simple...
- 17M.3.SL.TZ2.1c.i: State the fundamental SI unit of the constant a and of the constant b.
- 17N.1.SL.TZ0.1: How many significant figures are there in the number 0.0450? A. 2 B. 3 C. 4 D. 5
- 17N.1.HL.TZ0.1: What is a correct value for the charge on an electron? A. 1.60 x 10–12 μC B. 1.60 x 10–15...
- 18M.3.SL.TZ1.1b.ii: A student forms a hypothesis that the period of one oscillation P is given...
- 18M.1.SL.TZ2.1: What is the best estimate for the diameter of a helium nucleus? A. 10–21 m B. 10–18...
- 18M.1.SL.TZ2.10: Which is a unit of force? A. J m B. J m–1 C. J m s–1 D. J m–1 s
- 18M.3.SL.TZ2.2a: This relationship can also be written as follows. \[\frac{1}{{\sqrt I }} = Kx + KC\] Show...
- 18M.3.SL.TZ2.2b.i: Estimate C.
- 18M.3.SL.TZ2.2b.ii: Determine P, to the correct number of significant figures including its unit.
- 18M.3.SL.TZ2.2c: Explain the disadvantage that a graph of I versus \(\frac{1}{{{x^2}}}\) has for the analysis...
1.2 – Uncertainties and errors
- 15M.1.SL.TZ2.2: The graph shows a set of experimental results to determine the density of oil. The results have...
- 15M.2.HL.TZ1.1c: The equation of the trend line shown in (b) is given by R = −0.0005h2 + 0.0843h − 1.5632. (i)...
- 15M.2.HL.TZ1.1d: The student estimates that the uncertainty in timing 100s is ±1s. Using the data on the graph,...
- 14M.1.SL.TZ1.1: The radius of a sphere is measured with an uncertainty of 2%. What is the uncertainty in the...
- 14M.1.HL.TZ1.2: The volume V of a cylinder of radius R and height H is given by V = \(\pi \)R2H. The volume of...
- 14M.2.SL.TZ1.1a: Connie suggests that T is proportional to B, where B is the percentage of black in the paint. To...
- 14M.2.SL.TZ1.1b: Sophie suggests that the relationship between T and B is of the...
- 15N.2.HL.TZ0.1b.i: Comment, using two points on your line of best-fit, whether or not this is a valid hypothesis.
- 15N.2.HL.TZ0.1b.ii: Suggest why using two points cannot confirm that \({h_{{\text{mean}}}}\) is proportional to...
- 15N.2.HL.TZ0.1c.ii: The temperature is measured using a liquid in glass thermometer. Explain why it is likely that...
- 15N.2.SL.TZ0.1a: Draw the line of best-fit for the data.
- 15N.2.SL.TZ0.1b: State why the line of best-fit suggests that \({h_{{\text{mean}}}}\) is not proportional to \(T\).
- 15N.2.SL.TZ0.1c.i: State the uncertainty in each value of \(T\).
- 15N.2.SL.TZ0.1c.ii: The temperature is measured using a liquid in glass thermometer. State what physical...
- 15N.2.SL.TZ0.1d: Another hypothesis is that \({h_{{\text{mean}}}} = K{T^3}\) where \(K\) is a constant. Using the...
- 14N.1.SL.TZ0.2: The maximum acceleration amax of an oscillator undergoing simple harmonic motion (SHM) has a...
- 14N.2.SL.TZ0.1a: Draw the best-fit line for the data points.
- 14N.2.SL.TZ0.1b.i: Calculate the gradient of the graph when \(T = 291{\text{ K}}\).
- 14N.2.SL.TZ0.1b.ii: State the unit for your answer to (b)(i).
- 14N.2.SL.TZ0.1c: The uncertainty in the resistance value is 5%. The uncertainty in the temperature is negligible....
- 14N.2.SL.TZ0.1d.i: Calculate the power dissipated by the thermistor at \(T = 283{\text{ K}}\).
- 14N.2.SL.TZ0.1d.ii: Determine the uncertainty in the power dissipated by the thermistor at \(T = 283{\text{ K}}\).
- 14M.2.SL.TZ2.1a: Using the graph, estimate the time of day at which the array begins to generate energy.
- 14M.2.SL.TZ2.1b: The average power consumed in the house between 08:00 and 12:00 is 2.0 kW. Determine the energy...
- 14M.2.SL.TZ2.1c: The power P produced by the array is calculated from the generated emf V and the fixed resistance...
- 14M.2.SL.TZ2.1d: Later that day a second set of data was collected starting at \(t = 0\). The variation of...
- 11N.1.SL.TZO.3: A small object is attached to a string and rotated in a circle of constant radius in a horizontal...
- 12N.1.SL.TZ0.2: Aiming for the centre of a target, an archer fires arrows which produces a pattern of hits as...
- 12N.1.SL.TZ0.3: The acceleration of free fall g is determined by the relationship...
- 13N.1.SL.TZ0.1: The sides of a square are measured to be 5.0 ± 0.2 cm. Which of the following gives the area of...
- 11M.1.SL.TZ2.1: Which of the following will reduce random errors in an experiment? A. Using an instrument...
- 13M.2.SL.TZ1.1a: Outline why the student has recorded the ε values to different numbers of significant digits but...
- 13M.2.SL.TZ1.1b: On looking at the results the student suggests that ε could be inversely proportional to d. He...
- 13M.2.SL.TZ1.1c: The graph shows some of the data points with the uncertainty in the d values.On the graph (i)...
- 13M.2.SL.TZ1.1d: All values of ε have a percentage uncertainty of ±3%. Calculate the percentage uncertainty in the...
- 11M.1.SL.TZ2.2: A body accelerates from rest with a uniform acceleration a for a time t. The uncertainty in...
- 12M.2.SL.TZ2.1a: Draw a best-fit line for the data.
- 12M.2.SL.TZ2.1b: It is hypothesized that the frequency ƒ is inversely proportional to the height h. By choosing...
- 12M.2.SL.TZ2.1c: Another suggestion is that the relationship between ƒ and h is of the form shown below, where k...
- 12M.2.SL.TZ2.1d: State one reason why the results of the experiment could not be used to predict the natural...
- 13M.2.HL.TZ1.1d: The student hypothesises that there may be an exponential relationship between ε and d of the...
- 13M.2.SL.TZ2.1a: An experiment was undertaken to investigate one of the circuit properties of a capacitor. A...
- 13M.2.SL.TZ2.1b: The time constant τ of the circuit is defined as the time it would take for the capacitor to...
- 13M.2.SL.TZ2.1c: The time constant τ = RC where R is the resistance and C is a property called capacitance. The...
- 13M.1.SL.TZ2.1: The length of the side of a cube is 10.0 ±0.3cm. What is the uncertainty in the volume of the...
- 11M.2.SL.TZ2.1a: (i) why v is not directly proportional to λ. (ii) the value of v for...
- 11M.2.SL.TZ2.1b: It is suggested that the relationship between v and λ is of the...
- 12M.2.SL.TZ1.1a: (i) Draw the straight line that best fits the data. (ii) State why the data do not support the...
- 12M.2.SL.TZ1.1b: Another student suggests that the relationship between t and h is of the...
- 11N.2.SL.TZ0.1a: Caroline calculated the wave speed by measuring the time t for the wave to travel 150 cm. The...
- 11N.2.SL.TZ0.1b: Caroline hypothesized that the wave speed c is directly proportional to the water depth d. (i)...
- 11N.2.SL.TZ0.1c: Another student proposes that c is proportional to d0.5. State a suitable graph that can be...
- 11N.2.SL.TZ0.1d: There is a systematic error in Caroline’s determination of the depth. (i) State what is meant by...
- 13N.2.SL.TZ0.1a: Draw a best-fit line for the data points on the graph opposite.
- 13N.2.SL.TZ0.1b: With reference to your answer to (a), (i) explain why the relationship between d and l is not...
- 13N.2.SL.TZ0.1c: Before the experiment was carried out, it was hypothesized that d depends on \(\sqrt l \)....
- 11M.1.SL.TZ1.2: The current I through a resistor is measured with a digital ammeter to be 0.10 A. The uncertainty...
- 11M.2.SL.TZ1.1c: Theory suggests that D2 = kn. A graph of D2 against n is shown below. Error bars are shown for...
- 11M.2.HL.TZ1.1c: It is suggested that the relationship between D and n is of the form D = cnp where c and p...
- 09M.1.SL.TZ1.2: The masses and weights of different objects are independently measured. The graph is a plot of...
- 10M.1.SL.TZ1.2: The length of each side of a sugar cube is measured as 10 mm with an uncertainty of...
- 10N.1.HL.TZ0.2: Two lengths, \(a\) and \(b\), are measured to be \(51 \pm 1{\text{ cm}}\) and...
- 10N.2.SL.TZ0.A1a.i: Calculate the absolute uncertainty in the terminal speed of the paper toy for \(n = 6\).
- 10N.2.SL.TZ0.A1a.ii: On the graph, draw an error bar on the point corresponding to \(n = 6\).
- 10N.2.SL.TZ0.A1d: Another student hypothesized that \(v\) might be proportional to \(n\). To verify this hypothesis...
- 10N.2.SL.TZ0.A1b: On the graph, draw a line of best-fit for the data points.
- 10N.2.SL.TZ0.A1c: The student hypothesizes that v is proportional to n. Use the data points for \(n = 2\) and...
- 16M.3.SL.TZ0.1b: Calculate the percentage uncertainty for the displacement when t=40s.
- 16M.3.SL.TZ0.1c: The student hypothesizes that the relationship between x and t is \(x = \frac{a}{t}\) where a is...
- 16M.3.SL.TZ0.2a: The refractive index of the glass from which the slide is made is given...
- 16M.3.SL.TZ0.2b: After the experiment, the student finds that the travelling microscope is badly adjusted so that...
- 16M.3.SL.TZ0.2c: After correcting the adjustment of the travelling microscope, the student repeats the experiment...
- 16M.1.SL.TZ0.1: A sphere fits inside a cube. The length of the cube and the diameter of the...
- 16N.3.SL.TZ0.1a: (i) Outline why OY has a greater percentage uncertainty than OX for each pair of data...
- 16N.3.SL.TZ0.1b: A graph of the variation of OY with OX is plotted. (i) Draw, on the graph, the error bars for OY...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.3.SL.TZ1.2a: In a simple pendulum experiment, a student measures the period T of the pendulum many times and...
- 17M.1.SL.TZ2.1: A stone falls from rest to the bottom of a water well of depth d. The time t taken to fall is 2.0...
- 17M.3.SL.TZ2.1b.i: fractional uncertainty in d.
- 17M.3.SL.TZ2.1b.ii: percentage uncertainty in d 2.
- 17M.3.SL.TZ2.2c.i: State what is meant by a zero error.
- 17M.3.SL.TZ2.2c.ii: After taking measurements the student observes that the ammeter has a positive zero error....
- 17N.1.SL.TZ0.2: An object is positioned in a gravitational field. The measurement of gravitational force...
- 17N.1.SL.TZ0.30: The diagram shows an analogue meter with a mirror behind the pointer. What is the main purpose...
- 18M.1.SL.TZ1.1: A student measures the radius r of a sphere with an absolute uncertainty Δr. What is the...
- 18M.3.SL.TZ1.1a: Draw on the graph the line of best fit for the data.
- 18M.3.SL.TZ1.1b.i: Write down the time taken for one oscillation when B = 0.005 T with its absolute uncertainty.
- 18M.3.SL.TZ1.1b.iii: State the unit of K.
- 18M.3.SL.TZ1.1c: The student plots a graph to show how P2 varies with \(\frac{1}{B}\) for the data. Sketch the...
- 18M.3.SL.TZ1.1d: State how the value of K can be obtained from the graph.
- 18M.3.SL.TZ1.2a: Draw a suitable circuit diagram that would enable the internal resistance to be determined.
- 18M.3.SL.TZ1.2b: It is noticed that the resistor gets warmer. Explain how this would affect the calculated value...
- 18M.3.SL.TZ1.2c: Outline how using a variable resistance could improve the accuracy of the value found for the...
- 18M.3.SL.TZ2.1a: Determine the distance fallen, in m, by the centre of mass of the sphere including an estimate of...
- 18M.3.SL.TZ2.1b: Using the following...
- 18M.3.SL.TZ2.2a: This relationship can also be written as follows. \[\frac{1}{{\sqrt I }} = Kx + KC\] Show...
- 18M.3.SL.TZ2.2b.i: Estimate C.
- 18M.3.SL.TZ2.2b.ii: Determine P, to the correct number of significant figures including its unit.
1.3 – Vectors and scalars
- 15M.1.SL.TZ1.2: A velocity of 5 m s−1 can be resolved along perpendicular directions XY and XZ. The component...
- 11N.1.SL.TZO.4: The vector diagram shows two forces acting on a point object O. The forces are in the plane of...
- 13N.1.SL.TZ0.2: Which of the following lists two vector quantities and one scalar quantity? A. force, mass,...
- 12M.1.SL.TZ1.2: The diagram below shows the forces acting on a block of weight W as it slides down a slope. The...
- 12M.1.SL.TZ2.2: An object slides down an inclined plane that makes an angle θ with the horizontal. The weight of...
- 12M.1.HL.TZ2.6: A ball is thrown with velocity u at an angle of 55° above the horizontal. Which of the following...
- 11M.1.SL.TZ2.3: Which of the following lists two scalar quantities? emf, momentum emf,...
- 11M.1.SL.TZ2.7: A stone attached to a string is moving in a horizontal...
- 13M.1.SL.TZ2.2: Which of the following lists three vector quantities? A. momentum, electric field strength,...
- 10M.1.SL.TZ1.1: The best estimate for the time it takes light to cross the nucleus of the hydrogen atom is A. ...
- 16N.1.SL.TZ0.3: A car moves north at a constant speed of 3m s–1 for 20s and then east at a constant speed of 4m...
- 17M.1.SL.TZ1.2: Which of the following is a scalar quantity? A. VelocityB. MomentumC. Kinetic energyD....
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
- 17M.1.SL.TZ2.2: Which is a vector quantity? A. Pressure B. Electric current C. Temperature D. Magnetic field
- 17M.2.SL.TZ2.1g: At a particular instant in the flight the glider is losing 1.00 m of vertical height for every...
- 18M.1.SL.TZ1.2: A river flows north. A boat crosses the river so that it only moves in the direction east of its...
- 18M.1.SL.TZ2.2: The velocities vX and vY of two boats, X and Y, are shown. Which arrow represents the...
- 18M.2.SL.TZ2.1a.ii: On the diagram, construct an arrow of the correct length to represent the weight of the ball.