Answer to Question #209610 in Physics for Moon

Question

Monochromatic light is incident on two slits separated by 0,03 m. The distance between antinodes is 0,000128 m. If the screen is 1,6 m from the slits, what is the wavelength of light? Write your answer in scientific notation or in decimal form

Answer 1

Given:

$d=0.03\:\rm m$

$\Delta y=0.000128\:\rm m$

$D=1.6\:\rm m$

The distance between antinodes

$$\Delta y=\frac{D\lambda }{d}$$

Hence, the wavelength of light

$$\lambda=\frac{d\Delta y}{D}=\frac{(0.03\:\rm m)\times (0.000128\:\rm m)}{1.6\:\rm m}=2.4\times 10^{-6}\:\rm m$$