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Question: The length of simple pendulum executing SHM is increased by 21%. The percentage increase in the time...

The length of simple pendulum executing SHM is increased by 21%. The percentage increase in the time period of the pendulum is –

A

10%

B

11 %

C

21%

D

42 %

Answer

10%

Explanation

Solution

TT\frac{T'}{T} = 121100\sqrt{\frac{121}{100}} Ž T ¢ = 1110\frac{11}{10}T

(TT1)\left( \frac{T'}{T} - 1 \right) × 100 % = (11101)\left( \frac{11}{10} - 1 \right) × 100 % = 10%