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Question

Question: If the period of oscillation of mass m suspended from a spring is 2 sec, then the period of mass 4m ...

If the period of oscillation of mass m suspended from a spring is 2 sec, then the period of mass 4m will be

A

1 sec

B

2 sec

C

3 sec

D

4 sec

Answer

4 sec

Explanation

Solution

T=2πmkT = 2 \pi \sqrt { \frac { m } { k } }T2T1=m2m1=4mm=2\frac { T _ { 2 } } { T _ { 1 } } = \sqrt { \frac { m _ { 2 } } { m _ { 1 } } } = \sqrt { \frac { 4 m } { m } } = 2