Which of the following statements are true for the ocsillations of the mass suspended with a spring

Options

A. time period varies directly as the square root of the suspended mass
B. The stiffer spring used show lesser time period
C. In the weightlessness state, the mass cannot execute oscillations
D. The system will have the same time period both on the moon and the earth.

Answer

A, B, D

Explanation

Time period `T=2pisqrt((m)/(k))` ltbr. i.e., `T prop sqrt(m)` `Tprop (1)/(sqrt(k))`
The time period is independent of `g`, hence `T` will be same on the moon and the earth. In the weightlessness state, the loaded spring one pulled and left will execute oscillations.