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A simple pendulum of length l Has maximum angular displacement θ. The maximum kinetic energy of the bob of mass m is g= acceleration due to gravity

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Important Questions on Oscillations

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A simple pendulum of length 'L' has mass 'M'  and it oscillates freely with amplitude 'A'. At extreme position, its potential energy is (g= acceleration due to gravity)
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A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained-off, the period of pendulum will 
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Starting from the extreme position, the time taken by an ideal simple pendulum to travel a distance of half the amplitude is 
 
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A man measures time period of a pendulum (T) in a stationary lift. If the lift moves upward with an acceleration g4, then the new time period will be
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A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest, its time period is T. With what acceleration should the lift be accelerated upwards in order to reduce its period to T2? (g is the acceleration due to gravity)
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Time period of a pendulum on the earth surface is T1. It is arranged on the earth surface at a height R And thus its time period is T2. What is the ratio of T1: T2?
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If the length of a simple pendulum is increased by 44%, then what is the gain in the time period of the pendulum?
 
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A simple pendulum with a bob of mass ' m' oscillates from A to C and back to A such that PB is H. If the acceleration due to gravity is 'g', then the velocity of the bob, as it passes through B is 

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