| Date | May 2014 | Marks available | 1 | Reference code | 14M.1.SL.TZ1.1 |
| Level | Standard level | Paper | Paper 1 | Time zone | Time zone 1 |
| Command term | Question number | 1 | Adapted from | N/A |
Question
The radius of a sphere is measured with an uncertainty of 2%. What is the uncertainty in the volume of the sphere?
A. 2%
B. 4%
C. 6%
D. 8%
Markscheme
C
Examiners report
Consideration of units leads to C. It is not necessary to know the formula for the volume of a sphere.
Syllabus sections
Show 83 related questions
- 17N.1.SL.TZ0.30: The diagram shows an analogue meter with a mirror behind the pointer. What is the main...
- 17N.1.SL.TZ0.2: An object is positioned in a gravitational field. The measurement of gravitational force...
- 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.TZ2.1b.ii: percentage uncertainty in d 2.
- 17M.3.SL.TZ2.1b.i: fractional uncertainty in d.
- 17M.3.SL.TZ1.2a: In a simple pendulum experiment, a student measures the period T of the pendulum many times...
- 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...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when 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...
- 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...
- 16M.3.SL.TZ0.2b: After the experiment, the student finds that the travelling microscope is badly adjusted so...
- 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...
- 16M.3.SL.TZ0.1b: Calculate the percentage uncertainty for the displacement when t=40s.
- 16M.1.SL.TZ0.1: A sphere fits inside a cube. The length of the cube and the diameter of the...
- 15M.1.SL.TZ2.2: The graph shows a set of experimental results to determine the density of oil. The results...
- 15M.2.HL.TZ1.1c: The equation of the trend line shown in (b) is given by R = −0.0005h2 + 0.0843h −...
- 15M.2.HL.TZ1.1d: The student estimates that the uncertainty in timing 100s is ±1s. Using the data on 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...
- 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....
- 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.2.SL.TZ0.1a: Draw the line of best-fit for the data.
- 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...
- 15N.2.HL.TZ0.1c.ii: The temperature is measured using a liquid in glass thermometer. Explain why it is likely...
- 15N.2.SL.TZ0.1b: State why the line of best-fit suggests that \({h_{{\text{mean}}}}\) is not proportional to...
- 15N.2.SL.TZ0.1c.i: State the uncertainty in each value of \(T\).
- 14N.1.SL.TZ0.2: The maximum acceleration amax of an oscillator undergoing simple harmonic motion (SHM) has a...
- 14N.2.SL.TZ0.1b.i: Calculate the gradient of the graph when \(T = 291{\text{ K}}\).
- 14N.2.SL.TZ0.1d.i: Calculate the power dissipated by the thermistor at \(T = 283{\text{ K}}\).
- 14N.2.SL.TZ0.1a: Draw the best-fit line for the data points.
- 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...
- 14N.2.SL.TZ0.1d.ii: Determine the uncertainty in the power dissipated by the thermistor at \(T = 283{\text{ K}}\).
- 14M.2.SL.TZ2.1c: The power P produced by the array is calculated from the generated emf V and the fixed...
- 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...
- 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...
- 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...
- 11M.1.SL.TZ2.1: Which of the following will reduce random errors in an experiment? A. Using an...
- 13M.2.SL.TZ1.1a: Outline why the student has recorded the ε values to different numbers of significant digits...
- 13M.2.SL.TZ1.1b: On looking at the results the student suggests that ε could be inversely proportional to d....
- 13M.2.SL.TZ1.1c: The graph shows some of the data points with the uncertainty in the d values.On the...
- 13M.2.SL.TZ1.1d: All values of ε have a percentage uncertainty of ±3%. Calculate the percentage uncertainty in...
- 11M.1.SL.TZ2.2: A body accelerates from rest with a uniform acceleration a for a time t. The...
- 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...
- 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...
- 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...
- 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...
- 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...
- 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...
- 11N.2.SL.TZ0.1d: There is a systematic error in Caroline’s determination of the depth. (i) State what is...
- 11N.2.SL.TZ0.1c: Another student proposes that c is proportional to d0.5. State a suitable graph that can be...
- 13N.2.SL.TZ0.1b: With reference to your answer to (a), (i) explain why the relationship between d and l is...
- 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.TZ1.2: The current I through a resistor is measured with a digital ammeter to be 0.10 A. The...
- 11M.2.HL.TZ1.1c: It is suggested that the relationship between D and n is of the form D = cnp where c and...
- 11M.2.SL.TZ1.1c: Theory suggests that D2 = kn. A graph of D2 against n is shown below. Error bars are shown...
- 09M.1.SL.TZ1.2: The masses and weights of different objects are independently measured. The graph is a plot...
- 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.A1c: The student hypothesizes that v is proportional to n. Use the data points for \(n = 2\) and...
- 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.2.SL.TZ0.A1d: Another student hypothesized that \(v\) might be proportional to \(n\). To verify this...
- 10N.2.SL.TZ0.A1b: On the graph, draw a line of best-fit for the data points.
