In a Young's double slit experiment, the separation between the s… - Vidyadip

MCQ

In a Young's double slit experiment, the separation between the slits is $0.15\; \mathrm{mm}$. In the experiment, a source of light of wavelength $589 \;\mathrm{nm}$ is used and the interference pattern is observed on a screen kept $1.5\; \mathrm{m}$ away. The separation between the successive bright fringes on the screen is......$mm$

A
$6.9$
✓
$5.9$
C
$4.9$
D
$3.9$

✓

Answer

Correct option: B.

$5.9$

b
Finge width, $\beta=\frac{\mathrm{D} \lambda}{\mathrm{d}}=\frac{1.5 \times 589 \times 10^{-9}}{0.15 \times 10^{-3}}$

$=5.9 \times 10^{-3} \mathrm{m}$

$=5.9 \mathrm{mm}$

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