Questions
A transverse wave is represented by . For what value of is the maximum particle velocity equal to twice the wave velocity?
detailed solution
Correct option is D
Given y=y0sin2πλvt−xω=2πλv,k=2πλVelocity of wave Vω=vVelocity of particle VP=∂y∂t=y02πvλcos2πλ(vt−x)Maximum velocity of particle Vmax=2πvy0λgiven that Vmax=2Vwave∴2πvy0λ=2v∴λ=πy0Therefore, the correct answer is ( D )Talk to our academic expert!
Similar Questions
The displacement y (in cm) produced by a simple harmonic wave is . The periodic time and maximum velocity of the particles in the medium will respectively be
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