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Q.

A particle executes simple harmonic "motion between x= - A and x = + A. The time taken by it to go from O to A2is T1 and to go from A/2 to A is T2. Then:

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a

T1

b

T1>T2

c

T1=T2

d

T1=2T2

answer is A.

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Detailed Solution

Let x=A sin ωt then A/2=A sin ωT1⇒ ωT1=π/6⇒T1=T6ω Also T2=T4-T1=2π4ω-π6ω=π3ω ⇒ T2=2T1⇒T2>T1

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A particle executes simple harmonic "motion between x= - A and x = + A. The time taken by it to go from O to A2is T1 and to go from A/2 to A is T2. Then: