Physics, asked by IshuBisht7965, 10 months ago

In double-slit experiment using light of wavelength 600 nm, the angular width of a fringe formed on a distant screen is 0.1º. What is the spacing between the two slits?

Answers

Answered by abhi178
13

In double-slit experiment using light of wavelength, λ = 600 nm, the angular width of a fringe formed on a distant screen, \theta=0.1º. we have to find the space between two slits.

use the formula,

angular width , \theta=\frac{\lambda}{d}

here, d is space between two slits.

so, d = \frac{\lambda}{\theta}

here, \theta = 0.1° = 0.1π/180rad [ as we know, 1° = π/180 rad]

= (600nm)/(0.1π/180)

= (600 × 10^-10m)/(0.1π/180)

= (600 × 180 × 10^-10)/(0.1π)

= 3.44 × 10^-4 m or, 0.344mm

hence, the space between slits is 3.44 × 10^-4 m .

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