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 -

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

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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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Solution

The correct option is B $2 (I_{1} + I_{2})$
$I = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}} c o s ϕ$
$I_{m a x} = (\sqrt{I_{1}} + \sqrt{I_{2}})^{2}$
$I_{m i n} = (\sqrt{I_{1}} - \sqrt{I_{2}})^{2}$
$I_{m a x} + I_{m i n} = (\sqrt{I_{1}} + \sqrt{I_{2}})^{2} + (\sqrt{I_{1}} - \sqrt{I_{2}})^{2}$
$= (I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}}) + (I_{1} + I_{2} - 2 \sqrt{I_{1} I_{2}})$
$= 2 (I_{1} + I_{2})$

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Two periodic waves of intensities I1 and I2 passthrough a region at the same time in the samedirection. the sum of the maximum andminimum intensities is -

The correct option is B 2(I1+I2)I=I1+I2+2√I1I2cosϕImax=(√I1+√I2)2Imin=(√I1−√I2)2Imax+Imin=(√I1+√I2)2+(√I1−√I2)2=(I1+I2+2√I1I2)+(I1+I2−2√I1I2)=2(I1+I2)

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 -