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  • The sound level at a distance 3.00 m from a point source is 120 dB. At what distance will the sound level be 100 dB.Option: 1 <img alt="10 m" src="ht

The sound level at a distance 3.00 m from a point source is 120 dB. At what distance will the sound level be 100 dB.

Option: 1

10 m


Option: 2

20 m


Option: 3

30 m

 


Option: 4

18 m


Answers (1)

best_answer

Answer (3)

Intensity due to a point source I\; \alpha \; x^{2}

Loudness L=10\; \log \frac{I}{I_{0}}

\therefore L_{1}-L_{2}=10\; \log \frac{I}{I_{0}}-10 \log \frac{I_{2}}{I_{0}}

120-100=10\; \log\left [ \frac{I_{1}}{I_{2}} \right ]\Rightarrow \frac{I_{1}}{I_{2}}=10^{2}

\frac{x_{2}^{2}}{x_{1}^{2}}=100\Rightarrow x_{2}=30 m

Posted by

himanshu.meshram

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