Class XI

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes simple harmonic oscillations with a time period T.
  1. 25/ 16
  2. 5/ 4
  3. 41369.0
  4. 9/ 16
For a particle executing simple harmonic motion represented by x (t) = A cos (ωtωt + φφ) acceleration a(t) is given by
  1. a(t) = - 2 ω2ω2x(t)
  2. a(t) = - 2ωωx(t)
  3. a(t) = - ωωx(t)
  4. a(t) = - ω2ω2x(t)
A body of mass 5 g is executing simple harmonic motion about a point O with amplitude of 10 cm. Its maximum velocity is 100 cm/s. It’s velocity will be 50 cm/s at a distance (in cm) from O
  1. 53–√
  2. 5
  3. 102–√
  4. . 52–√
In a simple pendulum the restoring force is due to
  1. The radial component of the gravitational force
  2. The tangential component of the tension in string
  3. The radial component of the tension in string
  4. The tangential component of the gravitational force
The length of a second’s pendulum decreases by 0.1percent, then the clock
  1. Gains 43.2 seconds per day
  2. Loses 7 seconds per day
  3. Loses 43.2 seconds per day
  4. Loses 13.5 seconds per day
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