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6) A simple pendulum consists of a mass M attached to a wightless string of leng

ID: 1836509 • Letter: 6

Question

6) A simple pendulum consists of a mass M attached to a wightless string of length L. For this system, when undergoing small oscillations (a) the frequency is proportional to the amplitude. (b) the frequency is inversely proportional to the amplitude (c) the period is proportional to the amplitude. (d) the frequency is independent of the mass M (e) the frequency is independent of the length L 7) If you take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the frequency of the pendulum will (c) not change (d) become zero (a) increase (b) decrease ratio (e) either increase or decrease; it depends on its length to mass

Explanation / Answer

6.

D) the frequency is independent of the mass M

as frequency is f = 1/2 pi x sqrt ( g/l) , g is gravity and l is lenght of string , it is independent of the mass.

7

b) Frequency will decrease

as in the above equation , g is decreasing to 1/3 of the times as gravity is moon is around 3.2 m/s2 , so frequency will decrease.

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