An object of mass M oscillates on the end of a spring. To double the period, replace the object with one of mass: (a) 2M. (b)M/2. (c) 4M. (d)M/4. (e) None of the above.

(c) 4M

Explanation:

The system is a loaded spring. The period of a loaded spring is given by

m is the mass and k is the spring constant.

It follows that, since k is constant,

where C  represents a constant.

When the period is doubled, .

Hence, the mass is replaced by 4M.

change tension