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Question

Assertion: Time taken by a particle executing SHM of amplitude A to move from x=A to x=3A2 is same as the time taken by the particle to move from x=3A2 to x=A2.
Reason: Corresponding angles rotated in the reference circle are same in the given time intervals.

A
If both assertion and reason are true and the reason is correct explanation of the assertion.
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B
If both assertion and reason are true but reason is not the correct explantion of assertion.
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C
If assertion is true but the reason is false.
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D
If assertion is false but the reason is true.
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Solution

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

Time taken by a particle to move from x=A to x=3A2
t1=θw=π62πT=T12
Time taken by a praticle to move from x=3A2 to A2
t2=π62πT=T12
t1=t2 since, the corresponding angles rotated in reference circle are also same.

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