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DP IB Physics: HL

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4.1 Oscillations

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Question 1

Marks: 1

When an object oscillates in simple harmonic motion, a restoring force acts toward the equilibrium position.

Which graph shows the restoring force, F, as a function of displacement, x?

4-1-sl-mcq-hard-q1-phy

Key Concepts

Question 2

Marks: 1

The graph below shows the displacement as a function of time for a particle in SHM.

4-1-sl-mcq-hard-q2-phy

At certain points in the oscillation, the acceleration and velocity act in opposite directions.

Which letter indicates such a point?

Key Concepts

Question 3

Marks: 1

A mass is attached to a spring from above and the spring is secured to a clamp. The mass is pulled down and released resulting in a simple harmonic oscillation.

Which one of the following statements is true?

The tension, T, in the spring is at a minimum as the mass passes through the equilibrium position
The total potential energy, E_P, in the system is at a maximum when the mass is at the highest point of its oscillation
The acceleration, a, of the mass is at a maximum as it passes through the equilibrium position
The kinetic energy, E_K, is at a minimum when the mass is at the lowest point in its oscillation

Key Concepts

Simple Harmonic Oscillations

Question 4

Marks: 1

A pendulum bob on a string oscillates in SHM with a frequency, f.

The period, T, of a simple pendulum is related to the length of the string, l, and the acceleration of free fall, g, by the following equation:

$T = 2 π \sqrt{\frac{l}{g}}$

What would the ratio be of the original frequency to the new frequency if the length of the string was increased by a factor of 4?

$\frac{1}{\sqrt{2}}$
$\frac{1}{2}$
$\sqrt{2}$
4

Key Concepts

Simple Harmonic Oscillations

Question 5

Marks: 1

A simple pendulum oscillates in SHM.

9-1-hl-mcq-medium-m10-question-stem

Which row correctly describes the force, F, acceleration, a, and velocity, v, at position Y?

	Force	Acceleration	Velocity
A.	zero	zero	max
B.	max	max	zero
C.	max	zero	max
D.	zero	max	zero

Key Concepts

Describing Oscillations

Question 6

Marks: 1

The total energy, E_T, of a mass-spring system in SHM is related to the mass, m, angular speed, ω, and the amplitude, A, by the following equation:

$E_{T} = \frac{1}{2} m ω^{2} A^{2}$

What is the ratio of the original amplitude to the new amplitude if the mass is reduced by a factor of 4 and the angular speed is halved?

$\frac{1}{2}$
1
$\frac{1}{\sqrt{8}}$
4

Key Concepts

Question 7

Marks: 1

A mass spring system is set up so that the mass glides on a frictionless surface between two springs on a horizontal bench. The mass-spring system performs SHM

Which of the following statements is true?

As the mass oscillates about the equilibrium position, the kinetic energy of the mass is zero when the displacement from equilibrium is zero
As the mass oscillates about the equilibrium position, the kinetic energy of the mass is zero when the restoring force acting on the mass is zero
As the mass oscillates about the equilibrium position, the potential energy of the spring is at a maximum when the kinetic energy of the mass is zero
As the mass oscillates about the equilibrium position, the potential energy of the mass is at a maximum when the acceleration of the mass is zero

Key Concepts

Question 8

Marks: 1

A mass-spring system has a period, T, mass, m, and a spring constant, k. These quantities are related by the following equation:

$T = 2 π \sqrt{\frac{m}{k}}$

A new spring has a spring constant of 3 times the original value.

Using this new spring, which mass would cause the period, T, to decrease by a factor of 6?

$\frac{1}{6} m$
$\frac{1}{3} m$
8 m
12 m

Key Concepts

Describing Oscillations

Question 9

Marks: 1

The graph below shows the kinetic energy of a simple pendulum as a function of time. The time period of the pendulum is T.

What does the length of the line JK represent?

4-1-sl-mcq-hard-q9-phy

$\frac{T}{4}$
$\frac{T}{2}$
T
2T

Key Concepts

Question 10

Marks: 1

The period, T, of a simple pendulum depends upon the length of the string, l, and the acceleration of free fall, g, as defined by the following equation:

$T = 2 π \sqrt{\frac{l}{g}}$

If the length of the string was reduced by a factor of 5, what would be the resulting period of the new oscillator?

0.2T
0.45T
2T
8T

Key Concepts

Describing Oscillations

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