The figure below (not drawn to scale) shows four different pendula, each made of

Question

The figure below (not drawn to scale) shows four different pendula, each made of a ball attached to a rope with negligible mass that is hung from a ceiling support. In each case, when the ball is pulled back a small angle oo and released, it swings in simple harmonic motion.

1)Which of the following options represents the correct ranking from smallest to largest based on the mass of the ball?

B < D < C < A

D < A < C < B

B < C < A < D

None of the above

Explanation / Answer

Time periodof a pendulum is given by the formula

T = 2*(L/g)

Since frequency (f) = 1/T

So , frequency is

f = (1/2)*(g/L)

From the formula , the frequency is not dependent on the mass of the ball but it depends on the length

So answer) none of the above

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