A bomb blast gives a sound of intensity 0.8W/m2 and frequency 1.5kHz. If the density of air is 1.25kg/m3 and speed of sound in air is 330m/s, then the amplitude of the sound wave is approximately
A
4.4μm
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B
5.5μm
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C
6.6μm
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D
7.7μm
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Solution
The correct option is C6.6μm We know that the intensity of sound is given by, I=12ρω2A2ov,
where, ρ is the density of medium, ω is the angular frequency of sound, Ao is the displacement amplitude of particles of medium and v is the speed of sound. ⇒I=2π2f2ρA2ov [ω=2πf] ⇒Ao=√I2π2f2ρv ⇒Ao=√0.82×3.142×(1.5×103)2×1.25×330 ⇒Ao=6.6×10−6m=6.6μm