Question

Find the angular separation between th econsecutive bright fringes in a young's doubel slit experiment with blue- green light of wavelength 500 nm. The separation between the slits is $2.0\times {10}^{-3}m$

Answer 1

Given that,$\lambda =500nm=500\times {10}^{-9}maandd=2\times {10}^{-3}m$
Angular separation
$\frac{\theta \beta }{d}=\frac{\lambda D}{dD}=\frac{\lambda }{d}So,\theta =\frac{\beta }{D}=\frac{\lambda }{d}=\frac{500\times {10}^{-9}}{2\times {10}^{-3}}=250\times {10}^{-6}=25\times {10}^{-5}Radians=0.014degree$