Question

the period of simple Pandlum will be double if we
i) increase the length is 4times
ii) increase the length is 2 times
iii) decrease the length is 4times
iv) decrease the length is 2times​

Answer 1

Answer:

the correct option is i) increase the length by 4times

Explanation:

Time period of a pendulum = $2\pi \sqrt{l/g}$

Since the l is the only variable quantity therefore its the only thing that can be changed...

Let the original time period be T with the length of the string l and the new increased time period be T' with the length of the string l'.

T' = 2T

$2\pi \sqrt{l'/g} = 2(2\pi \sqrt{l/g})$

$\sqrt{l'} = 2\sqrt{l}$

$l' = 4l$

Therefore, the length of the string has to be 4 times the original length so as to get the new time period increased 2 times

Answer 2

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