Coherent light of frequency 6.37×1014 hz passes through two thin slits and falls on a screen 88.0 cm away. you observe that the third bright fringe occurs at ± 3.10 cm on either side of the central bright fringe. how far apart are the two slits?

The distance between the two slits is 40.11 μm.

Explanation:

Given that,

Frequency

Distance of the screen l = 88.0 cm

Position of the third order y =3.10 cm

We need to calculate the wavelength

Using formula of wavelength

where, c = speed of light

f = frequency

Put the value into the formula

We need to calculate the distance between the two slits

Where, m = number of fringe

d = distance between the two slits

Here,

Put the value into the formula

Hence, The distance between the two slits is 40.11 μm.