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Q.

A wave equation is y = 10-4 sin (60t+2x), where x and y are in metre and t is in sec. which of the following statement is true 

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a

 Its wavelength is 2 metre

b

all of the above

c

The wave travels with a velocity of 300 m,/sec in the negative direction of the x-axis
 

d

Its frequency is 50 /π hertz

answer is B.

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Detailed Solution

y=104sin(60t+2x) we know that y=asinωt+XV Comparing equations (1) and (2), we get a=104,2πn=60  and V =30 m/s or n=(30/π) and 2πλ=2 So we have λ=π metre. 

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