SATHEE: Waves - Result Question 60

Waves - Result Question 60

62. Two vibrating tuning forks produce progressive waves given by $y_{1} = 4 \sin 500 π t$ and $y_{2} = 2 \sin 506 π t$ . Number of beats produced per minute is

(a) 360

(b) 180

(c) 60

(d) 3

[2005]

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Answer:

Correct Answer: 62. (b)

Solution:

(b) Equation of progressive wave is given by

$y = A \sin 2 π f t$

Given $y_{1} = 4 \sin 500 π t$ and $y_{2} = 2 \sin 506 π t$ .

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 $/ s e c$

$= 3 \times 60 = 180$ beats $/$ minute.

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Waves - Result Question 60

62. Two vibrating tuning forks produce progressive waves given by y1=4sin⁡500πt and y2=2sin⁡506πt. Number of beats produced per minute is

Answer:

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62. Two vibrating tuning forks produce progressive waves given by $y_{1} = 4 \sin 500 π t$ and $y_{2} = 2 \sin 506 π t$ . Number of beats produced per minute is