Assertion : A combination of two simple harmonic motions with arbitrary amplitudes and phases is not necessarily periodic.
Reason : A periodic motion can always be expressed as a sum of infinite number of harmonic motions with appropriate amplitudes.

If both assertion and reason are true and reason is the correct explanation of assertion.

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If both assertion and reason are true and reason is not the correct explanation of assertion.

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If assertion is true but reason is false.

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If both assertion and reason are false.

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Solution

The correct option is A If both assertion and reason are true and reason is not the correct explanation of assertion.
A combination of two simple harmonic motions with arbitrary amplitudes and phases is periodic only if frequency of one motion is an integral multiple of the other's frequency.

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Assertion : A combination of two simple harmonic motions with arbitrary amplitudes and phases is not necessarily periodic.Reason : A periodic motion can always be expressed as a sum of infinite number of harmonic motions with appropriate amplitudes.

The correct option is A If both assertion and reason are true and reason is not the correct explanation of assertion.A combination of two simple harmonic motions with arbitrary amplitudes and phases is periodic only if frequency of one motion is an integral multiple of the other's frequency.

Assertion : A combination of two simple harmonic motions with arbitrary amplitudes and phases is not necessarily periodic.
Reason : A periodic motion can always be expressed as a sum of infinite number of harmonic motions with appropriate amplitudes.

The correct option is A If both assertion and reason are true and reason is not the correct explanation of assertion.
A combination of two simple harmonic motions with arbitrary amplitudes and phases is periodic only if frequency of one motion is an integral multiple of the other's frequency.