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Question

The time period of simple pendulum is T. When the length increases by 10 cm, its period is T1. When the length is decreased by 10 cm, its period is T2 .Then the relation between T, T1 and T2 is


A

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B

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C

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Solution

The correct option is C


T=2πlg

T1=2πl+10g

l+10=gT214π2(i)

T2=2πl10gl10=gT224π2(ii)

Adding (i) and (ii) we get

l=gT214π2+gT224π22=gT24π2

2T2=T21+T22


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