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Question

Physics Question on Wave optics

If I0I_0 is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled ?

A

2I02I_0

B

4I04I_0

C

I0I_0

D

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

Answer

4I04I_0

Explanation

Solution

I=I0(sinθθ)2I=I_{0}\left(\frac{sin\,\theta}{\theta}\right)^{2} and θ=πλ(ayD)\theta=\frac{\pi}{\lambda}\left(\frac{ay}{D}\right) For principal maximum y0y- 0 θ=0\therefore \theta=0 Hence, intensity will remain same .