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JEE Main 202325 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
25 January
Shift
Morning Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2023 · 25 January · Morning Shift · Physics · Waves and Sound

The distance between two consecutive points with phase difference...

The distance between two consecutive points with phase difference of 60°60 ° in a wave of frequency 500Hz500Hz is 6.0m6 . 0m. The velocity with which wave is travelling is ______ kms−1km{s}^{- 1}.

Correct answer

0

Step-by-step solution

Distance between two consecutive points 60°60 ° out of phase is given by \Deltax=λ2πΔϕ\Deltax = \dfrac{\lambda}{2\pi}\Deltaϕ

Putting the values, we have

6=λ2π(π3)6 = \dfrac{\lambda}{2\pi}\left(\dfrac{\pi}{3}\right)

⇒λ=36m⇒ \lambda = 36m

Now, velocity of wave is v=fλ=(500Hz)(36m)v = f\lambda = ( 500Hz ) ( 36m )

=18000ms−1=18kms−1= 18000m{s}^{- 1} = 18km{s}^{- 1}

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