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9) What will happen to the period of a pendulum if we change the rope of a pendulum with another which is four times with the initial? B. halved A. double C. tripled D increase four times .​

Answer :

TRANCESCIENTIN

Double

Explanation:

Since the period T of a pendulum is given by

[tex]T = 2\pi \sqrt{\dfrac{l}{g}}[/tex]

By increasing the length of the pendulum by 4, the period becomes

[tex]T' = 2\pi \sqrt{\dfrac{4l}{g}} = 2\left(2\pi \sqrt{\dfrac{l}{g}}\right) = 2T[/tex]

You can see that the period doubles when we increase the length by a factor of 4.

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