Question

A mass M is attached to an ideal massless spring. When this system is set in motion with amplitude A, it has a period T. What is the period if the amplitude of the motion is increased to 2A?(a) 2T(b) T(c) T/2(d) 2√T(e) 4T

Answer 1

Option B is the correct answer.

Explanation:

Period of a spring mass arrangement is given by

                   $T=2\pi\sqrt{\frac{m}{k}}$

       where m is mass and k is spring constant.

So period of spring mass arrangement is independent of amplitude of motion.

Here amplitude changes from A to 2A.

Period for amplitude A is given by T.

Since period remains same for amplitude 2A also, the period is T.

Option B is the correct answer.