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DP IB Physics: HL

Topic Questions

Home / IB / Physics: HL / DP / Topic Questions / 9. Wave Phenomena (HL only) / 9.1 Simple Harmonic Motion / Multiple Choice


9.1 Simple Harmonic Motion

Question 1

Marks: 1

A point on a guitar string S oscillates about its equilibrium position Z in simple harmonic motion.

9-1-hl-mcq-medium-1-diagram

The amplitude of the oscillation is YZ.

Which positions show when the acceleration of point S is at a maximum and the velocity of point S is at zero?

 

Acceleration

Velocity

A.

Z

Y

B.

Y

Y

C.

Z Z

D.

Y

Z

    Choose your answer
      

    Question 2

    Marks: 1

    A simple pendulum and a mass-spring system oscillate about their equilibrium positions with simple harmonic motion. On Earth, the period of the oscillations is T. The pendulum and the mass-spring system are taken to Mars where the acceleration of free fall is smaller than on Earth.

    Which answer best describes the period of the pendulum and the mass-spring system on Mars?

     

    Simple Pendulum

    Mass-spring System

    A.

    T

    Greater than T

    B.

    T

    T

    C.

    Greater than T Greater than T

    D.

    Greater than T

    T

      Choose your answer
        

      Question 3

      Marks: 1

      Choose the correct statement describing the quantities that remain constant for an object in SHM.

      • Frequency, f.

      • Frequency, f, & period, T.

      • Period, T, & the spring constant, k.

      • Period, T, frequency, f, spring constant, k, & acceleration of freefall, g.

      Choose your answer
        

      Question 4

      Marks: 1

      A mass-spring system oscillates with simple harmonic motion. The mass m has an amplitude A and the spring has a total energy E. The mass is increased by half and the amplitude increased to 4A.

      What is the total energy in the spring?

      • 24E

      • 12E

      • 8E

      • 6E

      Choose your answer
        

      Question 5

      Marks: 1

      A pendulum oscillating with simple harmonic motion has an amplitude x subscript 0 and a maximum kinetic energy Ek.

      What is the potential energy of the system when the pendulum bob is at a distance 0.4x subscript 0 from its maximum displacement?

      • 0.36Ek

      • 0.4Ek

      • 0.6Ek

      • 0.64Ek

      Choose your answer
        

      Question 6

      Marks: 1

      Which of the following is a correct arrangement for the maximum displacement of a particle performing simple harmonic motion?

      • x subscript 0 = −fraction numerator a subscript m a x end subscript space f squared over denominator 4 straight pi squared end fraction

      • x subscript 0 = −fraction numerator a subscript m a x end subscript over denominator 2 straight pi f squared end fraction

      • x subscript 0 = −fraction numerator a subscript m a x end subscript over denominator 4 straight pi squared T squared end fraction

      • x subscript 0 = −fraction numerator a subscript m a x end subscript T squared over denominator 4 straight pi squared end fraction

      Choose your answer
        

      Question 7

      Marks: 1

      An ion in a crystal lattice structure oscillates with simple harmonic motion. The period of the oscillation is T. T is measured from equilibrium.

      Which graph shows the change in kinetic energy of the ion from time t = 0 to tT over 2?

      9-1-hl-mcq-medium-m7-question-stem

        Choose your answer
          
        Key Concepts
        Energy Changes in SHM

        Question 8

        Marks: 1

        A simple pendulum performs simple harmonic motion. The pendulum bob has a mass m, the string has a length l, and the pendulum has a period T

        Which is the correct value for the period T if the mass of the pendulum bob is doubled and the length of the string is halved?

        • 1.4 T

        • 0.7 T

        • 0.5 T

        • 0.25 T

        Choose your answer
          

        Question 9

        Marks: 1

        A mass-spring system oscillates about its equilibrium position in simple harmonic motion. A bulb on the motion sensor lights up each time the block passes the equilibrium position.

        9-1-hl-mcq-m9-question-stem

        The block has a mass m and oscillates with a period T

        Select the new mass that would cause the period to double.

        • 0.5m

        • 1.4m

        • 2m

        • 4m

        Choose your answer
          

        Question 10

        Marks: 1

        A simple pendulum oscillates with simple harmonic motion as shown.

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

        At which positions are the acceleration at zero, the displacement at a negative maximum, and velocity at a maximum?

         

        Acceleration

        Displacement

        Velocity

        A.

        Z

        Y

        X

        B.

        Y

        X

        Y

        C.

        X Z Z

        D.

        Y

        X

        Z

          Choose your answer