One end of an ideal spring in fixed in a wall at origin O and axis of spring is paralllel to the x-axis . A block of mass `m = 1 kg` is attached to the free end of the spring and it is performing SHm. Equation of position of the block in coordinate system Shown in Fig. is `x=10+3sin(10t)`, where t is in second and x in cm. Another block of mass `M=3kg` moving towards the origin with velocity `30(cm)/(s)` collides with the block performing SHM at `t=0` and gets stuck to it.
Q. Angular frequency of oscillation after collision is

Options

A. `(10+3sin5t)cm`
B. `(10-3sin5t)cm`
C. `(10+3cos10t)cm`
D. `(10-3cos10t)cm`

Answer

B

Explanation

Equation for position x of combined body is given by
`x=l_0+a'sin(omega't+pi)`
or `x={10+3sin(5t+pi)}cm`
or `x=10-3sin(5t)cm`