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Test on Oscillations
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Question 1
A particle performs simple harmonic motion with Amplitude A. Its speed is trebled at the instant that it is at a distance from the equilibrium position. The new amplitude of the motion is :
Question 2
A particle of mass m is attached to a spring (of spring constant k) and has a natural angular frequency ω0. An external force F(t) proportional to cosωt (ω≠ω0) is applied to the oscillator. The time displacement of the oscillator will be proportional to
Question 3
A particle moves with simple harmonic motion in a straight line. In first t s. after starting from rest it travels a distance a. and in next t s it travels 2a. in same direction then
Question 4
A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes 5T/3. then the ratio of m/M is
Question 5
A point mass oscillates along the x-axis according to the law x = x0 cos (ωt - π/4). If the acceleration of the particle is written as a = A cos (ωt - δ), then
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Mar 27JEE & BITSAT