Waves Ques 59
59. Two vibrating tuning forks produce progressive waves given by $y_1=4 \sin 500$ $ \pi t$ and $y_2=2 \sin 506 $ $\pi t$. Number of beats produced per minute is
[2005]
(a) $360$
(b) $180$
(c) $60$
(d) $3$
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Answer:
Correct Answer: 59.(b)
Solution:
- (b) Equation of progressive wave is given by
$ y=A \sin 2 \pi f t $
Given $y_1=4 \sin 500$ $ \pi t$ and $y_2=2 \sin 506$ $ \pi t$.
Comparing the given equations with equation of progressive wave, we get
$2 f_1=500 \Rightarrow f_1=250$
$2 f_2=506 \Rightarrow f_2=253$
Beats $=f_2-f_1=253-250=3$ beats $/ sec$
$=3 \times 60=180$ beats $/$ minute.
BETA
