In a Young's double slit experiment two slits are separated

Question:

In a Young's double slit experiment two slits are separated by $2 \mathrm{~mm}$ and the screen is placed one meter away. When a light of wavelength $500 \mathrm{~nm}$ is used, the fringe separation will be:

  1. $0.25 \mathrm{~mm}$

  2. $0.50 \mathrm{~mm}$

  3. $0.75 \mathrm{~mm}$

  4. $1 \mathrm{~mm}$


Correct Option: 1

Solution:

$\beta=\frac{\lambda \mathrm{D}}{\mathrm{d}}=\frac{500 \times 10^{-9} \times 1}{2 \times 10^{-3}}$

$\beta=\frac{5}{2} \times 10^{-4} \mathrm{~m}=2.5 \times 10^{-1} \mathrm{~mm}$

$\mathrm{b}=0.25 \mathrm{~mm}$

 

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