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Q.

A particle intially at the mean position is executing simple harmonic motion with an angular frequency    π4 rad/s. The ratio of the distances travelled by the particle in the first second & second is

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a

1:1

b

1:2-1

c

(1+3):1

d

2:1

answer is D.

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Detailed Solution

At t=1 sec
W=π4rad/s
x1=Asin(π4×1) 
x1=A2 -----------(1)
Distance traveled in 2 second 
t=2sec
x2=Asin[π4(2)]=Asinπ2=A
Distance travelled in 2nd Second 
x2x1=AA2=A[112](2)
A2A[112]=2+11

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