Physics, asked by BrainlyHelper, 1 year ago

The equation of a standing wave is given by y = 0.02 cos(πx)sin (100 πt ) m . Find the amplitude of either wave interfering, wavelength, time period, frequency and wave velocity of interfering waves

Answers

Answered by prmkulk1978
16

Given :  

y = 0.02 cos (πx) sin (100 πt)

y = R sin 2πnt

where R= 2A Cosπ 2 x/λ

y = 0.02 cos (πx) sin (100 πt)

y = 0.02 cos 2(πx/2) sin [2π(50)t)

By comparing the given equation with

Y=R sin2π nt

Where

R=2A Cos 2πx/λ

Where A= amplitude =0.01m

A=wavelength=2m

N= frequency =50Hz

T=time period=1/n=1/50=0.025

V= velocity =nλ=50x2

V=100m/s


Answered by MRSmartBoy
0

Answer:

Given :  

y = 0.02 cos (πx) sin (100 πt)

y = R sin 2πnt

where R= 2A Cosπ 2 x/λ

y = 0.02 cos (πx) sin (100 πt)

y = 0.02 cos 2(πx/2) sin [2π(50)t)

By comparing the given equation with

Y=R sin2π nt

Where

R=2A Cos 2πx/λ

Where A= amplitude =0.01m

A=wavelength=2m

N= frequency =50Hz

T=time period=1/n=1/50=0.025

V= velocity =nλ=50x2

V=100m/s

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