Q.
Two particles P and Q describe SHM of same amplitude a, same frequency f along the same straight line. The maximum distance between the two particles is a2.The phase difference between the particle is
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a
zero
b
π2
c
π6
d
π3
answer is B.
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Detailed Solution
x1=asinωt+ϕ1x2=asinωt+ϕ2⇒ x1−x2=2asinωt+ϕ1+ϕ22cosϕ1−ϕ22 To maximize x1−x2:sinωt+ϕ1+ϕ22=1⇒ a2=2a×1×cosϕ1−ϕ22⇒ 12=cosϕ1−ϕ22⇒ π4=ϕ1−ϕ22⇒ϕ1−ϕ2=π2
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