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Simple Harmonic Motion - Multiple Choice Questions

Q9. The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled?

A the time period
B the total energy
C the maximum velocity
D the maximum acceleration

  • Time period would halve as T = 1/f
  • Energy is related to v2 (KE = 1/2 mv2) - therefore enegy would in crease by a factor of root 2.
  • Max velocity would double as v and f are proportional.
  • Acceleration relates to square of frequency so that is incorrect. It would increase by a factor of four.