• question_answer A double slit is illuminated by light of wavelength 600 nm. The slits are 0.1 cm apart and the screen is placed 1 m away. Calculate the angular separation of 10th maximum in radians.

The angular separation of nth maxima is given by                         ${{\theta }_{n}}=n\lambda /d$ For 10th maxima, the angular separation,             ${{\theta }_{10}}=\frac{10\lambda }{d}$          Here,     $\lambda =600\,nm=6\times {{10}^{-7}}m$             $d=0.1cm=1\times {{10}^{-3}}m$ $\therefore$      ${{\theta }_{10}}=\frac{10\times 6\times {{10}^{-7}}}{1\times {{10}^{-3}}}=60\times {{10}^{-4}}$ rad $\Rightarrow$   ${{\theta }_{10}}=0.006$ rad