Waves - Result Question 60

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62. 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

======= ####62. 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

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/waves/waves—result-question-60.md (a) 360

(b) 180

(c) 60

(d) 3

[2005]

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Answer:

Correct Answer: 62. (b)

Solution:

  1. (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.