Download the app

Questions  

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 

a
zero
b
π2
c
π6
d
π3

detailed solution

Correct option is B

x1=asin⁡ωt+ϕ1x2=asin⁡ωt+ϕ2⇒ x1−x2=2asin⁡ωt+ϕ1+ϕ22cos⁡ϕ1−ϕ22 To maximize x1−x2:sin⁡ωt+ϕ1+ϕ22=1⇒ a2=2a×1×cos⁡ϕ1−ϕ22⇒ 12=cos⁡ϕ1−ϕ22⇒ π4=ϕ1−ϕ22⇒ϕ1−ϕ2=π2

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

The displacement y of a particle executing periodic motion is given by y=4cos2(t/2)sin(1000t). This expression may be considered to be a result of the superposition of  ........... independent harmonic motions 


phone icon
whats app icon