Question

A solid brass sphere is hung from a spring whose mass is negligible compared to that of the sphere. The sphere is set into vertical oscillations and its time period is found to be T. the sphere is now completely
immersed in a liquid whose density is 1/8th that of brass. The time period of vertical oscillations with the sphere always remaining immersed in the liquid will be equal to

• A. T
• B.
• C.
• D.

Answer 1

The correct option is A T

The time period of the vertical oscillations depends on the mass (m) of the sphere and the force constant (k) of the sphere. Since neither m nor k will change when the sphere is immersed in a liquid, the time period will remain unchanged. Hence the correct choice is (a).