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Q.

A particle executes simple harmonic motion (amplitude = A) between .x = -A and x = +A. The time taken for it to go from 0 to A/2 is 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

Using x=Asin⁡ωt For  x=A/2,sin⁡ωT1=1/2⇒T1=π6ω For  x=A,sin⁡ωT1+T2=1⇒T1+T2=π2ω⇒T2=π2ω−T1=π2ω−π6ω=π3ωi.e.T1
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