Physics - Simple Harmonic Motion

Question - 1

Amplitude is a 

  • A scalar quantity
  • B vector quantity
  • C cannot be negative
  • D Both (a) and (c) are correct

Question - 2

The displacement of particle is represented by equation is represented by equation \(y=3cos(\pi/4-2\omega t)\) . The motion of the particle is

  • A simple harmonic with period \(2\pi/\omega\)
  • B simple harmonic with period \(\pi/\omega\)
  • C periodic but not simple harmonic
  • D non-periodic

Question - 3

A particle is performing SHM given by equation \(\frac{d^2x}{dt^2}+9x=0\), the time period is

  • A \(2\pi\)
  • B \(\frac{1}{3}\pi\)
  • C \(\frac{2}{3}\pi\)
  • D \(4\pi\)

Question - 4

If the maximum velocity in SHM is vmax. Then, the average velocity during motion from one extreme point to the other extreme point will be

  • A \(\frac{4}{\pi}v_{max}\)
  • B \(\frac{\pi}{4}v_{max}\)
  • C \(\frac{2}{\pi}v_{max}\)
  • D \(\frac{\pi}{2}v_{max}\)

Question - 5

A body doing SHM with amplitude 1 cm and frequency 60 Hz. The maximum acceleration will be

  • A  \(200 \quad\pi^2m/s\)
  • B  \(400 \quad\pi^2m/s^2\)
  • C  \(244 \quad\pi^2m/s^2\)
  • D  \(144 \quad\pi^2m/s^2\)

Question - 6

A body executing SHM of time period 4 s. Time taken by it to move from mean position to half of amplitude starting from the mean position is

  • A 4 s
  • B \(\frac{1}{\sqrt{3}}s\)
  • C \(\frac{1}{3}s\)
  • D \(\frac{2}{3}s\)

Question - 7

A particle is acted simultaneously by mutually perpendicular forces then nature of simple harmonic motion of the particle will be

  • A an ellipse
  • B a parabola
  • C a circle
  • D a straight line

Question - 8

The ratio of amplitudes of following SHM is x1=\(A \ sin \ \omega t\) and 

  • A \(\sqrt {2}\)
  • B \(\frac{1}{\sqrt{2}}\)
  • C 1
  • D 2

Question - 9

A particle executing SHM with frequency v. The frequency with which kinetic energy oscillate is

  • A 4v
  • B v
  • C v/2
  • D 2v

Question - 10

If <E> and <V> denotes the average kinetic and average potential energies respectively of mass describing a simple harmonic motion over one period, then the correct relation is

  • A <E> = <V>
  • B <E> = 2<V>
  • C <E> = -2<V>
  • D <E> = -<V>
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