Waves - Result Question 13

13. The equation of a wave is represented by: $y=10^{-4} \sin [100 t-\frac{x}{10}]$. The velocity of the wave will be

[2001]

(a) $100 m / s$

(b) $250 m / s$

(c) $750 m / s$

(d) $1000 m / s$

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Answer:

Correct Answer: 13. (d)

Solution:

(d) $y=10^{-4} \sin [100 t-\frac{x}{10}]$

frequency, $n=(\frac{100}{2 \pi}) \sec ^{-1}, \lambda=2 \pi 10 m$

velocity $v=\lambda n=(\frac{100}{2 \pi})(2 \pi \times 10)=1000 m / s$