Amass 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

Explanation:

Period of a spring mass arrangement is given by

       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.

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