A smooth inclined plane having angle of inclination `30^(@)` with horizontal has a mass `2.5 kg` held by a spring which is fixed at the upper end as hwon in figure. If the mass is taken `2.5 cm` up along the surface of the inclined plane, the tension in the soring reduces to zero. If the mass is then released, the angular frequency of oscillation in radian per second is

Options

A. `0.707`
B. `7.07`
C. `1.414`
D. `14.14`

Answer

D

Explanation

`kx = mg sin 30^(@)`
`omega = sqrt((k)/(m)) = sqrt((gsin30^(@))/(x)) = sqrt((5 xx 100)/(2.5)) = 14.14` Ans.