Waves - Result Question 26
26. A standing wave is represented by $y=$ Asin $(100 t) \cos (0.01 x)$, where $y$ and $A$ are in millimetre, $t$ in seconds and $x$ is in metre. Velocity of wave is
[1994]
(a) $10^{4} m / s$
(b) $1 m / s$
(c) $10^{-4} m / s$
(d) not derivable from above data
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Answer:
Correct Answer: 26. (a)
Solution:
- (a) The wave equation is $y=A \sin (\omega t) \cos$ $(k x)$;
$ c=\omega / k=100 / 0.01=10^{4} m / s . $
