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Question
The wavelength of two waves are 50 and 51 cm respectively. If the temperature of the room is 20°C then what will be the number of beats produced per second by these waves, when the speed of sound at 0°C is 332 m/s?
Options
24
14
10
none of these
MCQ
Solution
14
Explanation:
λ1 = 50 cm λ2 = 51 cm.
v ∝ `sqrt"T"` ⇒ `"v"_1/"v"_2=sqrt("T"_2/"T"_1)=sqrt((273+20)/273)`
⇒ v2 = 319.23
v1 = `"v"_2/lambda_1=319.23/0.50` = 640 Hz.
v2 = `"v"_2/lambda_2=319.23/(51xx10^-2)`
= 625.94 = 626 Hz.
No. of beats = v2 - v1 = 14 Hz.
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Common Properties of All Waves
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