Young's double slit experiment is one of the classic tests for the wave nature of light. in an experiment using red light (λ = 641 nm) the second dark fringe on either side of the central maximum is θ = 4.4 degrees relative to the central bright fringe.
(a) write an expression for the separation distance between the slits.

The separation distance between the slits is 16710.32 nm.

Explanation:

Given that,

Wavelength = 641 nm

Angle =4.4°

(a). We need to calculate the separation distance between the slits

Using formula of young's double slit

Where, d = the separation distance between the slits

m = number of order

=wavelength

Put the value into the formula

Hence, The separation distance between the slits is 16710.32 nm.

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