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The following are statements about systems which are naturally capable of underg

ID: 1550782 • Letter: T

Question

The following are statements about systems which are naturally capable of undergoing simple harmonic motion. One statement is false. Select it.

The displacement of the system as a function of time is a sinusoidal function.

The greater the restoring force acting on the system, the greater the frequency.

Reducing the mass of a simple pendulum by a factor of four decreases its period by a factor of two.

The motion of a pendulum is still periodic even if the amplitude of its motion is not small.

Resonance occurs when a system is driven by an external oscillating force with frequency equal to or close to the natural frequency of the system.

Explanation / Answer

Reducing the mass of a simple pendulum by a factor of four decreases its period by a factor of two.

explanation

Time period of simple pendulum

T = 2pi sqrt (L/g)

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