Which of the following is not true for the pr | vedclass

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(D) The given equation is $y = 4\sin 2\pi \left( \frac{t}{0.02} - \frac{x}{100} \right)$.Comparing this with the standard wave equation $y = a\sin 2\p

Vedclass · Accepted Answer

Its propagation velocity is $50 	imes 10^3 \ 	ext{cm/sec}$.

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(D) The given equation is $y = 4\sin 2\pi \left( \frac{t}{0.02} - \frac{x}{100} ight)$.Comparing this with the standard wave equation $y = a\sin 2\pi \left( \frac{t}{T} - \frac{x}{\lambda} ight)$:$1$. Amplitude $a = 4 \ cm$.$2$. Time period $T = 0.02 \ sec$,so frequency $f = \frac{1}{T} = \frac{1}{0.02} = 50 \ 	ext{Hz}$ (or $	ext{cycles/sec}$).$3$. Wavelength $\lambda = 100 \ cm$.$4$. Wave velocity $v = f \lambda = 50 	imes 100 = 5000 \ 	ext{cm/sec} = 5 	imes 10^3 \ 	ext{cm/sec}$.Comparing this with option $(d)$,$50 	imes 10^3 \ 	ext{cm/sec}$ is incorrect. Thus,statement $(d)$ is not true.

Which of the following is not true for the progressive wave $y = 4\sin 2\pi \left( \frac{t}{0.02} - \frac{x}{100} \right)$,where $y$ and $x$ are in $cm$ and $t$ is in $sec$?

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