Calculate the frequency of beats produced in air when two sources of sound are activated, one emitting a wavelength of 32 cm and the other of 32.2 cm. The speed of sound in air is 350 m/s.

2 Hz

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7 Hz

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10 Hz

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20 Hz

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Solution

The correct option is B
7 Hz

Group-I
$λ_{1} = 32 c m$ $= 32 \times 10^{- 2} m$
v = 350 m/s
so $f_{1}$ =frequency= $\frac{350}{32 \times 10^{- 2}}$ =1093 Hz
Group-II
$λ_{2} = 32.2 c m$ $= 32.2 \times 10^{- 2} m$
v = 350 m/s
$f_{2} = \frac{350}{32.2 \times 10^{- 2}} = 1086 H z$
So beat frequency = 1093 - 1086 = 7 Hz

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Calculate the frequency of beats produced in air when two sources of sound are activated, one emitting a wavelength of 32 cm and the other of 32.2 cm. The speed of sound in air is 350 m/s.

The correct option is B 7 Hz Group-I λ1=32 cm =32×10−2m v = 350 m/s so f1=frequency=35032×10−2=1093 Hz Group-II λ2=32.2 cm =32.2×10−2m v = 350 m/s f2=35032.2×10−2=1086Hz So beat frequency = 1093 - 1086 = 7 Hz