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Q.

A spring has a certain mass suspended from it and its period for vertical oscillations is T1 The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now T2 The ratio of T2/T1 is

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a

1 /2

b

1 / 2

c

2

d

2

answer is B.

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Detailed Solution

If the spring is cut in two equal parts, each part has a spring constant 2 ,k. HenceT2=2πm2k Initially T1=2πmk T2T1=12

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