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Standard VIII

Physics

Loudness

The threshold...

Question

The threshold of hearing for the human ear $10^{- 12} W m^{- 2}$ . This is taken as the standard level. The intensity of sound is $1 W m^{- 2}$ . It has intensity (in $d b$ )

10^{12} d b

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12 d b

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240 d b

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120 d b

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Solution

The correct option is C $120 d b$
Intensity in $d B$ :
$I_{d B} = 10 {log}_{10} (\frac{I}{I_{0}}) = 10 {log}_{10} (\frac{1}{10^{- 12}}) = 10 \times 12 {log}_{10} 10 = 120$ $d B$

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The threshold of hearing for the human ear 10−12Wm−2. This is taken as the standard level. The intensity of sound is 1Wm−2. It has intensity (in db)

The correct option is C 120 dbIntensity in dB:IdB=10log10(II0)=10log10(110−12)=10×12log1010=120 dB

The threshold of hearing for the human ear $10^{- 12} W m^{- 2}$ . This is taken as the standard level. The intensity of sound is $1 W m^{- 2}$ . It has intensity (in $d b$ )

The correct option is C $120 d b$
Intensity in $d B$ :
$I_{d B} = 10 {log}_{10} (\frac{I}{I_{0}}) = 10 {log}_{10} (\frac{1}{10^{- 12}}) = 10 \times 12 {log}_{10} 10 = 120$ $d B$