Two periodic waves of intensities $I_{1}$ and $I_{2}$ , pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

2 (I_{1} + I_{2})

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I_{1} + I_{2}

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(\sqrt{I_{1}} + \sqrt{I_{2}})^{2}

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(\sqrt{I_{1}} - \sqrt{I_{2}})^{2}

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Solution

The correct option is A $2 (I_{1} + I_{2})$
$I_{m a x} = (\sqrt{I_{1}} + \sqrt{I_{2}})^{2}$
$I_{m i n} = (\sqrt{I_{1}} - \sqrt{I_{2}})^{2}$
$I_{m a x} + I_{m i n} = (\sqrt{I_{1}} + \sqrt{I_{2}})^{2} + (\sqrt{I_{1}} - \sqrt{I_{2}})^{2} = 2 (I_{1} + I_{2})$

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Reason: Ratio of maximum to minimum intensity is

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Two periodic waves of intensities I1 and I2, pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

The correct option is A 2(I1+I2)Imax=(√I1+√I2)2Imin=(√I1−√I2)2Imax+Imin=(√I1+√I2)2+(√I1−√I2)2=2(I1+I2)

Two periodic waves of intensities $I_{1}$ and $I_{2}$ , pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

The correct option is A $2 (I_{1} + I_{2})$
$I_{m a x} = (\sqrt{I_{1}} + \sqrt{I_{2}})^{2}$
$I_{m i n} = (\sqrt{I_{1}} - \sqrt{I_{2}})^{2}$
$I_{m a x} + I_{m i n} = (\sqrt{I_{1}} + \sqrt{I_{2}})^{2} + (\sqrt{I_{1}} - \sqrt{I_{2}})^{2} = 2 (I_{1} + I_{2})$