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  4. The power of sound from the speaker of radio is 10 W . Now, the power of sound from the speaker of the radio is increased to 400 W by increasing the volume of the radio. The power increased in dB as compared to original power is nearly

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Q. The power of sound from the speaker of radio is $10 \, W$ . Now, the power of sound from the speaker of the radio is increased to $400 \, W$ by increasing the volume of the radio. The power increased in $dB$ as compared to original power is nearly

NTA AbhyasNTA Abhyas 2022

Solution:

$P_{1}=10log\left|\frac{10}{10^{- 12}}\right|$
$P_{1}=130 \, dB$
$P_{2}=10log\left|\frac{400}{10^{- 12}}\right|$
$=10log\left|4 \times 10^{14}\right|$
$=140+10log4$
$P_{2}=146 \, dB$
$\Delta P=\left(\right.146-130\left.\right)=16 \, dB$