Physics Quiz

A mass is suspended from a spring having spring constant 'K' is displaced vertically and released, it oscillates with period "T'. The weight of the suspended is ?

(g = gravitational acceleration)

• $\frac{KTg}{4\pi^2}$

• $\frac{KT^2g}{4\pi^2}$
  

• $\frac{KTg}{2\pi^2}$
  

• $\frac{KT^2g}{2\pi^2}$
  

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is

• $\frac{9}{16}$
  

• $\frac{3}{4}$

• $\frac{4}{3}$

• $\frac{16}{9}$

For a particle executing simple harmonic motion, which of the following statement/s is/are NOT correct?

(i) The restoring force is always directed towards a fixed point.

(ii) The restoring force is maximum at the extreme positions.

(iii) The acceleration of the particle is maximum at the equilibrium position

• only (i)

• (i) and (ii)

• only (iii)

• (i), (ii), and (iii)

Two identical springs of constant k are connected, first in series and then in parallel. A metal block of mass m is suspended from their combination. The ratio of their frequencies of vertical oscillations will be in a ratio

• 1:4

• 1:2

• 2:1

• 4:1

If the particle starts its motion from mean position, the phase difference between displacement and acceleration is

• 2π rad

• π/2 rad

• π rad

• π/4 rad

A particle performs linear S.H.M. starting from the mean position. Its amplitude is A and time period is T. At the instance when its speed is half the maximum speed, its displacement x is

• $\sqrt{\frac{3}{2}}A$
  

• $\frac{2}{\sqrt{3}}A$

• $\frac{A}{2}$

• $\frac{1}{\sqrt{2}}A$

The displacement of the particle executing linear S.H.M. is x = 0.25 sin (11t +0.5) m. The period of S.H.M. is (π = 22/7)

•  $\frac{3}{7}s$  

•  $\frac{2}{7}s$  

•  $\frac{4}{7}s$  

•  $\frac{1}{7}s$  

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is

• $\frac{3\pi}{2}\ rad$

• $\frac{\pi}{2}\ rad$

• zero

• $\pi\ rad$