Answer:
The angular separation is 2.024°.
Explanation:
Given that,
Wavelength = 477 nm
Distance of two slits d= 54.0 μm
Distance from screen = 1.40 m
We need to calculate the angular separation
Using formula of angular separation
[tex]\sin\theta= n\lambda[/tex]
Where, d = distance
[tex]\lambda[/tex] = wavelength
Put the value into the formula
[tex]\sin\theta=\dfrac{n\lambda}{2d}[/tex]
[tex]\theta=\sin^{-1}(\dfrac{2\times477\times10^{-9}}{54.0\times10^{-6}})[/tex]
[tex]\theta=1.012^{\circ}[/tex]
The angular separation is
[tex]angular\ separation =2\theta[/tex]
Put the value into the formula
[tex]angular\ separation =2\times1.012[/tex]
[tex]angular\ separation =2.024^{\circ}[/tex]
Hence, The angular separation is 2.024°.
