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A cassette player is said to have a signal-to-noise ratio of 41 dB , whereas for...

A cassette player is said to have a signal-to-noise ratio of 41 dB , whereas for a CD player it is 99 dB . What is the ratio of intensities of the signal and the background noise for each device (CD and Cassette)?

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Answer #1

A casette player signal to noise ratio is Is / In = 41 dB

A CD player signal to noise ratio is Is / I n = 99 dB

For casette player ? = 10log_{10}( I /I_{0} )

41 dB = 10log_{10}( I_{s}/I_{n} )

I_{s}/I_{n}= 1.3 * 10^4

For CD player? =10log_{10}( I /I_{0} )

99 dB = 10 log_{10} ( I_{s}/I_{n})

I_{s}/I_{n} = 7.9*10^9

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