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IMPORTANT
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The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

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Important Questions on Oscillations

MEDIUM
Agniveer Vayu
IMPORTANT
The function y=sinωt-cosωt represents
EASY
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IMPORTANT
The displacement of a damped harmonic oscillator is given by xt=e-0.1tcos10πt+φ. Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to:
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Displacement vs time curve for a particle performing SHM is as shown in the figure.
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Which of the following statement is correct?
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IMPORTANT
A mass on the end of a spring undergoes simple harmonic motion with a frequency of 0.5 Hz. If the attached mass is reduced to one-quarter of its value, then the new frequency in Hz is
EASY
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IMPORTANT
The shortest distance travelled by a particle (performing S.H.M.) from mean position in 2 seconds is equal to 3 2 of its amplitude. Find its period.
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IMPORTANT
The motion of a particle varies with time according to the relation
y = a sin ωt + a cos ωt. Then
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IMPORTANT
A particle executing SHM of amplitude 4 cm and T=4 s. The time taken by it to move from positive extreme position to half the amplitude is:
EASY
Agniveer Vayu
IMPORTANT
In SHM, the acceleration of a particle at its mean position is