AQA A Level Physics

Topic Questions

A LevelPhysicsAQATopic Questions6. Further Mechanics & Thermal Physics6.2 Simple Harmonic Motion

6.2 Simple Harmonic Motion

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11 mark

What is the standard unit for angular frequency?

  • m s-1

  • m s-2

  • rad s-1

  • rad

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21 mark

Which of the following graphs shows how the acceleration a of a body moving with simple harmonic motion varies with its displacement x ?

6-2-mcq-q2-fig-1-easy-aqa-a-level-physics

6-2-mcq-q2-fig-2-easy-aqa-a-level-physics

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31 mark

For a simple pendulum oscillating with simple harmonic motion, which of the following statements is true?

  • The time period T is proportional to the square root of mass square root of m

  • The time period T is inversely proportional to the length l

  • The time period T is proportional to the length l

  • The time period T is proportional to the square root of length square root of l

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41 mark

A body is oscillating with simple harmonic motion, and its displacement x is given by the equation x = A cos (ωt).  

What is the displacement x of the body at time t = 0 ?

  • A

  • 2A

  • 0

  • 1

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51 mark

A graph is sketched for an oscillating body. 

6-2-mcq-q5-easy-aqa-a-level-physics

What is the amplitude of its motion?

  • 5 cm

  • 10 cm

  • 1.6 cm

  • 3.6 cm

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11 mark

The graph shows the variation of displacement with time for a body moving with simple harmonic motion.

6-2-mcq-q1-hard-aqa-a-level-physics

What is the body’s maximum acceleration?

  • 0.628 m s–2

  • 1.97 m s–2

  • 2.51 m s–2

  • 7.90 m s–2­

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21 mark

A simple pendulum can be used to determine the gravitational field strength of the Earth, g. 

The period of oscillations for the pendulum, T can be measured for different lengths of the pendulum, l. Using graphical methods, and by finding the gradient m, g can be determined. 

Which row in the table below correctly describes a graphical method to determine g using a simple pendulum?

 6-2-mcq-q2-table-hard-aqa-a-level-physics

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31 mark

The graph shows how the displacement x of a body moving with simple harmonic motion varies with time t.

6-2-mcq-q3-hard-aqa-a-level-physics

Which graph correctly shows how the kinetic energy E subscript k of the body varies with displacement, x in the same time interval?

6-2-mcq-q3--ma-fig-1-hard-aqa-a-level-physics

6-2-mcq-q3--ma-fig-2-hard-aqa-a-level-physics

6-2-mcq-q3--ma-fig-3-hard-aqa-a-level-physics

6-2-mcq-q3--ma-fig-4-hard-aqa-a-level-physics

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41 mark

Two simple pendulums, X and Y, of length 80 cm and 99 cm respectively, are set in motion alongside each other. 

How many oscillations are made by pendulum Y between two consecutive instants when X and Y move in phase with each other ?

  • 9

  • 11

  • 12

  • 13

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51 mark

The time period of a simple pendulum on Earth is 1.8 s. 

What would the time period be of the same pendulum if it was set in motion on a planet with a third of the radius but twice the density of Earth?

  • 2 over 3 T

  • begin mathsize 16px style square root of 2 over 3 end root T end style

  • begin mathsize 16px style square root of 3 over 2 end root T end style

  • begin mathsize 16px style 2 T end style

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11 mark

A body is oscillating with simple harmonic motion as shown in the graph below, where x represents displacement:

x-sine

Which graph best shows the acceleration a against the time t ?

6-2-mcq-q1-ma-fig-1-medium-aqa-a-level-physics

6-2-mcq-q1-ma-fig-2-medium-aqa-a-level-physics

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21 mark

The length l of a simple pendulum is trebled. 

What factor will the frequency of oscillations increase by ?

  • 3

  • fraction numerator 1 over denominator square root of 2 end fraction

  • begin mathsize 16px style fraction numerator 1 over denominator square root of 3 end fraction end style

  • 2

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31 mark

A particle of mass 0.20 kg moves with simple harmonic motion of amplitude 2.0 cm. 

If the total energy of the particle is 40 × 10–6 J, what is the time period of the motion?

  • straight pi over 4seconds

  • π seconds

  • 2π seconds

  • straight pi over 3seconds

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41 mark

When a mass suspended on a spring is displaced, the system oscillates with simple harmonic motion. 

Which one of the following statements regarding the energy of the system is incorrect?

  • The potential energy of the system has a minimum value when the mass is at its equilibrium position

  • The kinetic energy of the system is proportional to its mass

  • The sum of the kinetic and potential energies is always constant

  • The kinetic energy of the system has a minimum value when the mass is at its equilibrium position 

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51 mark

A mass attached to a spring undergoes vertical simple harmonic motion. 

At which point(s) is the magnitude of the resultant force on the mass a maximum?

  • At both the top and bottom of the oscillation

  • Only at the top of the oscillation

  • Only at the bottom of the oscillation

  • At the centre of the oscillation

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