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Small bob of a simple pendulum has mass m and the length of the pendulum is l. It is oscillating on a circular arc of angle θ in a vertical plane. At the end of this arc another ball of mass m is placed at rest. Momentum transferred to this ball by the bob of the pendulum is

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Important Questions on Oscillations

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JEE Main/Advance
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Two simple pendulums of length 1 m and 1.21 m are their mean position with their velocities in the same direction at some instant. After how many oscillations of bigger pendulum they will again be in same phase?
MEDIUM
JEE Main/Advance
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At some instant the bob of the simple pendulum is at the mean position. The time after which its kinetic and potential energies will be equal is
EASY
JEE Main/Advance
IMPORTANT
Time period of a simple pendulum is T. Time taken by it to complete 38 oscillations starting from mean position is
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JEE Main/Advance
IMPORTANT
Time period of oscillation of simple pendulum of length L hanging from the ceiling of a vehicle which moves down an inclined plane without friction, having inclination 60° is equal to
HARD
JEE Main/Advance
IMPORTANT
The angular amplitude of a simple pendulum is θ0. The maximum tension in its string will be
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JEE Main/Advance
IMPORTANT

An ideal liquid having length of liquid column l is contain in V-shape take as shown. If liquid is displaced, then its time period is

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JEE Main/Advance
IMPORTANT

A disc is hanging from pin hole as shown in figure and displaced slightly, then its time period

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JEE Main/Advance
IMPORTANT
The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitudes but differing in phase by π2