Answer:
The distance between the slits is given by 1.3 × [tex]10^{-4}[/tex] m
Given:
[tex]\lambda = 6.4 \times 10^{-7} m[/tex]
D = 4 m
y = [tex]2 \times 10^{-2} m[/tex]
m = 1
To find:
distance between slits, d = ?
Formula used:
y = [tex]\frac{m \times \lambda \times D}{d}[/tex]
y = distance of first bright band from central maxima
D = distance between screen and source
d = distance between slits
[tex]\lambda[/tex] = wavelength
Solution:
distance of first bright band from central maxima is given by,
y = [tex]\frac{m \times \lambda \times D}{d}[/tex]
y = distance of first bright band from central maxima
D = distance between screen and source
d = distance between slits
[tex]\lambda[/tex] = wavelength
Thus,
d = [tex]\frac{m \times \lambda \times D}{y}[/tex]
d = [tex]\frac{1 \times 6.4 \times 10^{-7} \times 4 }{2 \times 10^{-2} }[/tex]
d = 1.28 × [tex]10^{-4}[/tex]
d = 1.3 × [tex]10^{-4}[/tex] m
The distance between the slits is given by 1.3 × [tex]10^{-4}[/tex] m
