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The angular amplitude of a simple pendulum is θ0. The maximum tension in its string will be

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Important Questions on Oscillations

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JEE Main/Advance
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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
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The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitudes but differing in phase by π2
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A point mass m is suspended at the end of a massless wire of length L and cross-section area A. If Y is the Young's modulus for the wire, then the frequency of oscillations for the SHM along the vertical line is
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JEE Main/Advance
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A heavy brass sphere is hung from a weightless inelastic cord and acts as a simple pendulum with its period of oscillation T. The sphere is immersed in non-viscous liquid of density 110th  of the density of brass. Then it will act as a simple pendulum of period 
 
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Two masses m1 & m2 are suspended together by a massless spring of spring constant k (Fig.). When the masses are in equilibrium, m1 is removed without disturbing the system. Find the amplitude of oscillation of m2
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JEE Main/Advance
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Variation of acceleration a of a particle executing SHM with displacement x is
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JEE Main/Advance
IMPORTANT
The time period of a particle executing S.H.M. is 12 s. The shortest distance travelled by it from mean position in 2 second is (amplitude is a)