# 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 intensities is Option 1) $[\sqrt{I_{1}} - \sqrt{I_{2}}]^{2}$ Option 2) $2(I_{1} + I_{2})$ Option 3) $I_{1} + I_{2}$ Option 4) $[\sqrt{I_{1}} + \sqrt{I_{2}}]^{2}$

D Divya Saini

$I_{max}= I_{1}+ I_{2} + 2\sqrt{I_{1}I_{2}}$

$I_{min}= I_{1}+ I_{2} - 2\sqrt{I_{1}I_{2}}$

sum of maximu and minimum intensities $= 2\left ( I_{1}+ I_{2}\right )$

Ratio of maximum and minimum intensity -

$\frac{I_{max}}{I_{min}}=\left ( \frac{\sqrt{I_{1}}+\sqrt{I_{2}}}{\sqrt{I_{1}}-\sqrt{I_{2}}} \right )^{2}$

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Option 1)

$[\sqrt{I_{1}} - \sqrt{I_{2}}]^{2}$

This is incorrect

Option 2)

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

This is correct

Option 3)

$I_{1} + I_{2}$

This is incorrect

Option 4)

$[\sqrt{I_{1}} + \sqrt{I_{2}}]^{2}$

This is incorrect

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