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The curve between square of frequency of oscillation and length of the simple pendulum is

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Important Questions on Oscillations

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A small iron ball of mass m is suspended with the help of a massless rod of length L and is free to oscillate in vertical plane. Its time period of oscillation is
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A rectangular block of mass m and area of cross-section A floats in a liquid of density ρ. If it is given a vertical displacement from equilibrium, it undergoes oscillation with a time period T. Then,
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A body of mass 5 kg hangs from a spring and oscillates with a time period of 2π second. If the body is removed, the length of the spring will decrease by
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In the figure shown, there is friction between the blocks P and Q but the contact between the block Q and lower surface is frictionless. Initially the block Q with block P over it lies at x=0, with spring at its natural length. The block Q is pulled to right and then released. As the spring - blocks system undergoes SHM with amplitude A, the block P tends to slip over Q . P is more likely to slip at
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A simple pendulum with iron bob has a time period T. The bob is now immersed in a nonviscous liquid and oscillated. If the density of liquid is 112th that of iron, then new time period will be
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A simple pendulum suspended from the ceiling of a stationary lift has period T0. When the lift descends at steady speed, the period is T1, and when it descends with constant downward acceleration, the period is T2. Which one of the following is true?
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A simple pendulum is oscillating in a trolley moving on a horizontal straight road with constant acceleration a. If direction of motion of trolley is taken as positive x direction and vertical upward direction as positive y direction then the mean position of pendulum makes an angle
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A uniform rod of mass m and length l is suspended about its end. Time period of small angular oscillations is
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