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Loudness of sound from an isotropic point source at a distace of `70cm` is `20dB`. What is the distance (in m) at which it is not heard. |
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Answer» Intensity from a point source varies with distance as `Iprop(1)/(r^2)` Let at distace `r_1=10m` Intensity is `I_1` Then given `20=10log((I_1)/(I_0))` .(i) let for `r=r_2`, sound level be zero. Then intensity at that point should be `I_2=I_0` And `(I_1)/(I_2)=((r_2)/(r_1))^2implies(I_1)/(I_0)=((r_2)/(r_1))^2` .(ii) From Eqs. (i) and (ii) we get `20=10log((r_2)/(r_1))^2implies20=20log((r_2)/(r_1))` `implies(r_2)/(r_1)=10impliesr_2=10r_1=7m` |
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