Question

a pendulum is of time period 9 seconds and other pendulum is of time period 25 seconds find the difference in the lengths.​

Answer 1

Answer: using formula T= 2π√l/g we can find the difference in length

Explanation:

Answer 2

The difference in the lengths is 2x meters.

Explanation:

The time period of the simple pendulum is given by :

$T=2\pi \sqrt{\dfrac{l_1}{g}}$

If $T_1=9\ s$

$9=2\pi \sqrt{\dfrac{l_1}{g}}$.........(1)

If $T_2=25\ s$

$25=2\pi \sqrt{\dfrac{l_2}{g}}$.........(2)

From equation (1) and (2) we get :

$\dfrac{9}{25}=\sqrt{\dfrac{l_1}{l_2}}$

$\dfrac{3}{5}=\dfrac{l_1}{l_2}$

Let $\dfrac{3}{5}=\dfrac{l_1}{l_2}=x$

So, the difference in the lengths is 2x meters. Hence, this is the required solution.

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Simple pendulum

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