The intensity ratio of two waves is 1 : 16. The ratio of their amplitudes is

[EAMCET 1983]

1 : 16

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1 : 4

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4 : 1

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2 : 1

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Solution

The correct option is B
1 : 4

$\frac{I_{1}}{I_{2}} = {⎧ ⎪ ⎪ ⎩ \frac{a_{1}}{a_{2}} ⎫ ⎪ ⎪ ⎭}^{2} = \frac{1}{16} \Rightarrow \frac{a_{1}}{a_{2}} = \frac{1}{4}$

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