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Question

Question: If the same weight is suspended from three springs having lengths 1 : 3 : 5, the period of oscillati...

If the same weight is suspended from three springs having lengths 1 : 3 : 5, the period of oscillations shall be in the ratio of –

A

1 : 3 : 5

B

1 : 5\sqrt { 5 }

C

15 : 5 : 3

D

1 : 13\frac { 1 } { \sqrt { 3 } } : 115\frac { 1 } { \sqrt { 15 } }

Answer

1 : 5\sqrt { 5 }

Explanation

Solution

T µ1 K\frac { 1 } { \sqrt { \mathrm {~K} } } and K µ 1\frac { 1 } { \ell }

\T µ \sqrt { \ell }