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DP IB Physics: SL

Topic Questions

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4.1 Oscillations

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

    Choose your answer
      
    Key Concepts
    SHM Graphs

    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?

      Choose your answer
        
      Key Concepts
      SHM Graphs

      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, EP, 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, EK, is at a minimum when the mass is at the lowest point in its oscillation

      Choose your answer
        

      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 space equals space 2 straight pi square root of l over g end root

      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?

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

      • 1 half

      • square root of 2

      • 4

      Choose your answer
        

      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

        Choose your answer
          

        Question 6

        Marks: 1

        The total energy, ET, 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 subscript T space equals space 1 half m omega squared A squared

        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?

        • 1 half

        • 1

        • fraction numerator 1 over denominator square root of 8 end fraction

        • 4

        Choose your answer
          
        Key Concepts
        Energy in SHM

        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 

        Choose your answer
          
        Key Concepts
        Energy in SHM

        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 space equals space 2 straight pi square root of m over k end root

        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?

        • 1 over 6 m

        • 1 third m

        • 8 m

        • 12 m

        Choose your answer
          

        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

        • T over 4

        • T over 2

        • T

        • 2T

        Choose your answer
          
        Key Concepts
        Energy in SHM

        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 space equals space 2 straight pi square root of l over g end root

        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

        Choose your answer