Ncert Exercises & Solutions

10.16 In a double-slit experiment using the light of wavelength 600 nm, the angular width of a fringe formed on a distant screen is 0.1°. What is the spacing between the two slits?

Hint: $\theta =\frac{\lambda }{d}$
Step 1: Convert angular width of fringe in radian.

Angular width of fringe,

θ = {0.1}^{\circ} = 0.1 \times \frac{π}{180} = \frac{3.14}{1800} r a d

Step 2: Find the spacing between the two slits.
The angular width of a fringe is related to slit spacing (d) as:

$θ = \frac{λ}{d}$

$\begin{array}{l} d = \frac{λ}{d} \\ = \frac{600 \times 10^{- 9}}{\frac{3.14}{1800}} = 3.44 \times 10^{- 4} m \end{array}$

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