Question

If length of second pendulum becomes four times, then its time period will become :

A
four times
B
eight times
C
two times
D
same as before

Solution

The correct option is C two timesTime period of second pendulum is given by   $$T = 2\pi\sqrt{\dfrac{l}{g}}$$$$\implies \ T\propto\sqrt{l}$$Thus if the length if second pendulum is increased by 4 times, its time period gets increased by 2 times.Physics

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