### 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

## Show Answer

#### 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 . $