Lesson 13.1.1

13.1.1 Conditions and equations for simple harmonic motion Quiz: Pearson Edexcel Physics, Unit 13

20 questions

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Lesson 13.1.1, Conditions and equations for simple harmonic motion: 20 multiple choice questions for the Pearson Edexcel Physics (9PH0), Unit 13: Oscillations, written with Revision Ninja.

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The 20 questions

  1. In simple harmonic motion, acceleration is directly proportional to which quantity?

    • Displacement
    • Velocity
    • Time
    • Frequency

  2. In the SHM restoring force equation F = -kx, what does the minus sign indicate?

    • Displacement is constant
    • Force opposes displacement
    • Stiffness increases
    • Force increases speed

  3. Which relationship links the angular frequency ω to the period T?

    • ω = T^2 / (2 π)
    • ω = T / (2 π)
    • ω = 2 π / T
    • ω = 2 π T

  4. What is the period of a mass-spring oscillator of mass m and spring constant k?

    • T = sqrt(m / k)
    • T = 2 π sqrt(m / k)
    • T = 2 π m / k
    • T = 2 π sqrt(k / m)

  5. For small angles, the period of a simple pendulum does not depend on which quantity?

    • Pendulum length
    • Gravitational field strength
    • Pivot friction
    • Bob mass

  6. A mass of 0.50 kg is on a spring of stiffness 200 N m^-1. What is its period of oscillation?

    • 0.063 s
    • 0.31 s
    • 0.0050 s
    • 1.6 s

  7. A simple pendulum of length 1.0 m is at a place where g = 9.81 m s^-2. What is its period for small swings?

    • 4.0 s
    • 0.32 s
    • 2.0 s
    • 1.0 s

  8. An oscillator has angular frequency 12.6 rad s^-1 and displacement 0.050 m. What is its acceleration?

    • -2.0 m s^-2
    • -79 m s^-2
    • -0.79 m s^-2
    • -7.9 m s^-2

  9. A system oscillates at frequency 5 Hz. What is its angular frequency?

    • 0.2 rad s^-1
    • 10 rad s^-1
    • 5 rad s^-1
    • about 31 rad s^-1

  10. A spring extended by 0.030 m has spring constant 150 N m^-1. What is the restoring force?

    • 4.5 N
    • 5000 N
    • 0.2 N
    • 450 N

  11. A 0.20 kg mass oscillates on a spring with period 0.40 s. What is the spring constant?

    • about 197 N m^-1
    • about 4.9 N m^-1
    • about 49 N m^-1
    • about 0.13 N m^-1

  12. What length of simple pendulum gives a period of 1.0 s, using g = 9.81 m s^-2?

    • 0.50 m
    • 1.0 m
    • 0.10 m
    • 0.25 m

  13. Which system undergoes simple harmonic motion for small oscillations?

    • Rotating bicycle wheel
    • Bouncing rubber ball
    • Mass on spring
    • Falling raindrop

  14. For a simple pendulum, SHM requires which mathematical approximation?

    • sin θ ≈ 1
    • tan θ ≈ cos θ
    • sin θ ≈ θ
    • cos θ ≈ θ

  15. Why does the period of a simple pendulum increase at large amplitudes?

    • Restoring force non-linear
    • Bob mass increases
    • String length grows
    • Gravity decreases rapidly

  16. If the amplitude of a simple harmonic oscillator is doubled, by what factor does its total energy change?

    • 2
    • 1/2
    • 4
    • 8

  17. Two identical springs are connected in parallel to a mass. How does the period change?

    • Doubled
    • Halved
    • Multiplied by √2
    • Multiplied by 1/√2

  18. What is the defining direction of a restoring force in simple harmonic motion?

    • Away from equilibrium
    • Along tangent line
    • Towards equilibrium
    • Perpendicular to motion

  19. In simple harmonic motion, which quantity is directly proportional to negative displacement?

    • Velocity
    • Acceleration
    • Kinetic energy
    • Time period

  20. Which quantity is independent of the amplitude in SHM?

    • The maximum acceleration
    • The period
    • The maximum speed
    • The total energy

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