First slide

Young's double slit Experiment

Question

Light falls normally on a slit of width 0.3 mm. A convex lens of focal length 40 cm collects the rays at its focal plane. The distance of the first dark band from the central line of the screen is 0.8 mm. The wave length of light is

Easy

A

$3000 \overset{o}{A}$
B

$2000 \overset{o}{A}$
C

$6000 \overset{o}{A}$
D

$4000 \overset{o}{A}$

Solution

(3)
$\begin{array}{l} \sin θ_{1} = \frac{λ}{a} = \frac{y_{d}}{f} \\ \Rightarrow λ = \frac{a . y_{d}}{f} = \frac{0.3 \times 0.8}{400} m m = 6000 \overset{o}{A} \end{array}$

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