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The time period of simple harmonic motion depends upon(a) amplitude (b) energy (c) phase constant (d) mass

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Solution

The time period of a simple harmonic motion is given by the formula T = 2π√(m/k), where 'm' is the mass of the object and 'k' is the spring constant.

(a) Amplitude: The time period of a simple harmonic motion does not depend on the amplitude. The amplitude is the maximum displacement from the equilibrium position, but it does not affect the time it takes for one complete oscillation.

(b) Energy: The time period of a simple harmonic motion does not depend on the energy. The energy in a simple harmonic motion is shared between kinetic energy and potential energy, but it does not affect the time period.

(c) Phase constant: The time period of a simple harmonic motion does not depend on the phase constant. The phase constant is related to where the motion starts in the cycle, but it does not affect the time period.

(d) Mass: The time period of a simple harmonic motion does depend on the mass. As the mass increases, the time period also increases, and as the mass decreases, the time period decreases.

So, the correct answer is (d) mass.

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