Question

Q.48
The equation of a wave disturbance
rbance is given
y = 0.02 cos 5 + 50pi t) cos(10pix), where x
and y
are in meters and t in second . Choose the wrong
statement
(1) Antinode occurs at x=0.3 m
(2) The wavelength is 0.2 m
(3) The speed of the constituent waves is 4m/s
(4) Node occurs at x=0.15 m​

Answer 1

Answer:

2 is wrong

Explanation:

Because amplitude which varies with x is given by 0.02cos(10pix) which has maxima at x=0.3m and minima at 0.15m. Also wave number k=2pi/lambda= coefficient of x in 0.02cos(10pix) which is

10pi=k=2pi/lambda

Therefore lambda=wavelength =0.2m

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Answer 2

(3) The speed of the constituent waves is 4m/s is wrong answer.....

Thanks for the question.....