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Question: The maximum intensity in Young's double slit experiment is I<sub>0</sub>. Distance between the slits...

The maximum intensity in Young's double slit experiment is I0. Distance between the slits is d = 5l, where l is the wavelength of monochromatic light used in the experiment –

A

I02\frac{I_{0}}{2}

B

3I04\frac{3I_{0}}{4}

C

I0

D

I04\frac{I_{0}}{4}

Answer

I02\frac{I_{0}}{2}

Explanation

Solution

DP = ydD=5λ2×5λ10λ=25λ20=5λ4\frac{yd}{D} = \frac{5\lambda}{2} \times \frac{5\lambda}{10\lambda} = \frac{25\lambda}{20} = \frac{5\lambda}{4}

f = 2πλ×ΔP=2πλ×5λ4=5π2\frac{2\pi}{\lambda} \times \Delta P = \frac{2\pi}{\lambda} \times \frac{5\lambda}{4} = \frac{5\pi}{2}

I = I1 + I2 + 2 I1I2cosφ\sqrt{I_{1}I_{2}}\cos\varphi