Question

Light of the wavelength $550\text{nm}$ falls normally on a slit of width $22.0\times {10}^{-5}\text{cm}$. The angular position of the second minima from the central maxima will be :

• A. $\frac{\pi }{8}$
• B. $\frac{\pi }{12}$
• C. $\frac{\pi }{6}$
• D. $\frac{\pi }{4}$

Answer 1

The correct option is B $\frac{\pi }{12}$

From given,
$\begin{array}{cc}\sin {\theta }_{\mathrm{dan}}& =\frac{m\lambda }{d}\\ & =\frac{2\times 550\times {10}^{-9}}{22\times {10}^{-7}}\end{array}$
On solvig we get $\theta ={30}^{\circ }$.