Q.

Identify the correct statements for an SHM with amplitude A and maximum  velocity = V(i)At position x = A2, velocity lags displacement by  π2(ii)At position x = A2, velocity leads displacement by  π4(iii)When velocity =  V2, acceleration leads velocity by π(iv)When velocity = −V2, acceleration leads velocity by π2

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a

(i) only

b

(iii) only

c

(i) and (iii) only

d

(iv) only

answer is D.

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Detailed Solution

In SHM, y=Asin⁡ωt ∴ Velocity, v=Aωcos⁡ωt=Aωsin⁡ωt+π2and acceleration, a=−Aω2sin⁡ωt=Aω2sin⁡(ωt+π)Velocity leads displacement by π2 , acceleration leads velocity by  π2.
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