In a given place, two pendulums of same length, have same _______ if both are on same planet .

Time periods

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Amplitude

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Frequency

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None of the above

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Solution

The correct options are
A Time periods
D Frequency
time period of a pendulum is given by $T = 2 π \sqrt{\frac{l}{g}}$
and frequency is $f = \frac{1}{T}$
so both time period and frequency both depends only on the length and acceleration due to gravity of the planet. so these two will be same for the pendulum of same length on same planet. However amplitude depends on the mass of the body so it may vary from one to another. so best option is option A,C.

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