A weightless spring of length $60\, cm$ and force constant $200\, N/m$ is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of $0.25\, kg$ is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is
$\frac{\pi }{{20}}s$
$\frac{\pi }{{10}}s$
$\frac{\pi }{5}s$
$\frac{\pi }{{\sqrt {200} }}s$
The vertical extension in a light spring by a weight of $1\, kg$ suspended from the wire is $9.8\, cm$. The period of oscillation
A force of $20\,dyne$ applied to the end of spring increase its length of $1\, mm$, then force constant will be what ?
Define simple pendulum and the length of pendulum.
Two springs of force constant $K$ and $2K$ are connected to a mass as shown below. The frequency of oscillation of the mass is
A spring block system in horizontal oscillation has a time-period $T$. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be