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Question: In a Young’s double slit experiment let \(S_{1}\)and \(S_{2}\)be the two slits, and C be the center ...

In a Young’s double slit experiment let S1S_{1}and S2S_{2}be the two slits, and C be the center of the screen .If <s1Cs2=θ< s_{1}Cs_{2} = \thetaandλ\lambdais the wavelength, the fringe width will be;

A

λθ\frac{\lambda}{\theta}

B

λθ\lambda\theta

C

2λθ\frac{2\lambda}{\theta}

D

λ2θ\frac{\lambda}{2\theta}

Answer

λθ\frac{\lambda}{\theta}

Explanation

Solution

Fringe width β=λDd\beta = \frac{\lambda D}{d} and

θ=dDβ=λθ\theta = \frac{d}{D}\therefore\beta = \frac{\lambda}{\theta}