Identify the correct statements for an SHM (i) Displacement leads velocity by 0.5π (ii) Displacement lags velocity by π (iii) Acceleration leads velocity by 0.5π (iv) Acceleration lags velocity by 0.5π
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a
(i)
b
(iii)
c
(i) and (iii)
d
(ii) and (iv)
answer is B.
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Detailed Solution
InSHM, displacement y=Asin wt differentiate with respect to time t Velocity,v= Awcoswt=A wsin (ωt+π2), differentiate with respect to time t again and acceleration,a=–Aw2sin wt=Aw2sin(wt+π ) Velocity leads displacement by 0.5 π, acceleration leads velocity by 0.5 π.