Waves - Result Question 22
22. From a wave equation: $y=0.5 \sin \frac{2 \pi}{3.2}(64 t-x)$, the frequency of the wave is
[1995]
(a) $5 Hz$
(b) $15 Hz$
(c) $20 Hz$
(d) $25 Hz$
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Answer:
Correct Answer: 22. (c)
Solution:
- (c) Given, $y=0.5 \sin \frac{2 \pi}{3.2}(64 t-x)$
Standard equation of the wave is :
$y=a \sin \frac{2 \pi}{\lambda}(v t-x)$
Comparing the given equation with the standard equation, we get $v=64$ and $\lambda=3.2$. Therefore, frequency $=\frac{64}{3.2}=20 Hz$.
