The intensity level of two sounds are 100 dB and 50 dB. What is the ratio of their intensities?

10^{1}

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10^{3}

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10^{5}

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10^{10}

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Solution

The correct option is C $10^{5}$
$100 = 10 l o g_{10} \frac{I_{1}}{I_{0}} 50 = 10 l o g_{10} \frac{I_{2}}{I_{0}} o r \frac{I_{1}}{I_{0}} = 10^{10} a n d \frac{I_{2}}{I_{0}} = 10^{5} D i v i d i n g, \frac{I_{1}}{I_{2}} = 10^{5}$

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