First slide

Beats

Question

The wavelengths of two waves are 50 and 51 cm respectively. If the temperature of the room is 20^oC, then what will be the number of beats produced per second by these waves, when the speed of sound at 0^oC is 332 m/sec

Moderate

A

14
B

10
C

24
D

None of these

Solution

$v_{0} = 332$ m/s. Velocity sound at t°C is $v_{t} = (v_{0} + 0 .61 t)$
$\Rightarrow v_{20} = v_{0} + 0 .61 \times 20 = 344 .2 m / s$
$\Rightarrow Δn = v_{20} (\frac{1}{λ_{1}} - \frac{1}{λ_{2}}) = 344 .2 (\frac{100}{50} - \frac{100}{51}) = 14$

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