Answer:
2.52 × 10⁻² cm
Explanation:
The distance of bright fringe from the center of the screen is given by the formula
Here, wavelength is λ, Distance of the screen from the slits is D, seperation between the
slits is d.
Separation between the slits, d = 0.15 mm
Distance of the screen from the slits = 1.40 m
We have a wavelength, λ1 = 540 nm
=
By substituting all these values in the above equation we get
y1 = mλD/d
We have a wavelength, λ2 = 450 nm
=
By substituting all these values in the above equation we get
According to the problem, these two distance are coincides with each other.
So,
by testing values, the above equation is satisfied only when, m = 5 and m' = 6
Then from the above we have
y1 = y2 = 0.0252 m
= 2.52 × 10⁻² cm