Answer:
d = 52 μm
Explanation:
given,
wavelength of the light source (λ)= 550 nm
distance to form interference pattern(D) = 1.5 m
y = 1.6 cm = 0.016 m
width of the slits = ?
now, using displacement formula
[tex]y = \dfrac{m\lambda\ D}{d}[/tex]
for the first maxima, m = 1
[tex]d = \dfrac{1\times \lambda\ D}{y}[/tex]
[tex]d = \dfrac{1\times 550 \times 10^{-9}\times 1.5}{0.016}[/tex]
d = 5.2 x 10⁻⁶ m
d = 52 μm
hence, the width of her slits is equal to d = 52 μm
