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Oscillations

Class 11 · Physics · 5 questions

Name: ____________________   Date: ____________

  1. In simple harmonic motion the acceleration is proportional to:

    • A The displacement, directed to the mean position
    • B The velocity
    • C The time
    • D The mass only

  2. The time period of a mass m on a spring of constant k is:

    • A 2 pi sqrt(m / k)
    • B pi sqrt(m / k)
    • C 2 pi m k
    • D 2 pi sqrt(k / m)

  3. A pendulum has period 2 s. What is its length? (g = pi squared, about 9.87 m/s2)

    • A 1 m
    • B 2 m
    • C 0.5 m
    • D 4 m

  4. At the mean position of SHM, the speed is:

    • A Constant
    • B Zero
    • C Half of maximum
    • D Maximum

  5. Resonance occurs when the driving frequency equals the:

    • A Zero
    • B Natural frequency
    • C Half the natural frequency
    • D Double the natural frequency

Answer key

1. A, 2. A, 3. A, 4. D, 5. B

  1. a = -omega2 x.

  2. T = 2 pi times the square root of (m / k).

  3. T = 2 pi sqrt(L / g). With g = pi2, T = 2 sqrt(L), so L = 1 m.

  4. Speed is greatest at the mean position and zero at the extremes.

  5. When the two match, the amplitude becomes large.