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Questions  

A plane progressive wave is represented by the equation 
y=0.1sin200πt20πx17 where y is displacement in m, t in second and x is distance from a fixed origin in meter. The frequency, wavelength and speed of the wave respectively are 

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a
100 Hz, 1.7 m, 170 m/s
b
150 Hz, 2.4 m, 200 m/s
c
80 Hz, 1.1 m, 90 m/s`
d
120 Hz, 1.25 m, 207 m/s

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detailed solution

Correct option is A

Comparing the given equation with standard equation We get ω=2πn=200π⇒ n = 100 Hz k=20π17⇒λ=2πk=2π20π/17=1.7 mand v=ωk=200 π20π/17=170 m/s.


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For what value of λ, the maximum particle velocity equal to two times the wave velocity


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