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