In figure (A), mass ‘2m’ is fixed on mass ‘m’ which is attached to two springs of spring constant k. In figure (B), mass ‘m’ is attached to two springs of spring constant ‘k’ and ‘2k’. If mass ‘m’ is (A) and (B) are displaced by distance ‘x’ horizontally and then released, then time period $T 1$ and $T_{2}$ corresponding to (A) and (B) respectively follow the relation.

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T 1 T 2 = 32

T 1 T 2 = 23

T 1 T 2 = 32

T 1 T 2 = 23

answer is A.

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Detailed Solution

T 1 = 2 π 3 m 2 k T 2 = 2 π m 3 k T 1 T 2 = 32

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