Question 215: Wave Optics

Question

In Young's double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen at a distance 80 cm from the slits. The first dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light will be ____________ nm.

Accepted Answer

$$y = {d \over 2}$$,
$$	herefore$$ $$\Delta x = y{d \over D}$$
$$ \Rightarrow {{{d^2}} \over {2D}} = {\lambda  \over 2}$$
$$ \Rightarrow \lambda  = {{{{(0.6 	imes {{10}^{ - 3}})}^2}} \over {0.8}}$$
= 450 nm

Wave Optics

In Young's double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen at a distance 80 cm from the slits. The first dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light will be ____________ nm.

Integer / Numeric Answer Type