In a double-slit experiment the angular width of a fringe is found to be 0.2° on a screen placed 1 m away. The wavelength of light used is 600 nm. What will be the angular width of the fringe if the entire experimental apparatus is immersed in water? Take refractive index of water to be 4/3.
Advertisement Remove all ads
Solution
Distance of the screen from the slits, D = 1 m
Wavelength of light used, `lambda_1 = 600 nm`
Angular width of the fringe in air `theta_1 = 0.2^@`
Angular width of the fringe in water = `theta_2`
Refractive index of water, `mu = 4/3`
Refractive index is related to angular width as:
`mu = theta_1/theta/2`
`theta_2 = 3/4 theta_1`
`= 3/4 xx 0.2 = 0.15`
Therefore, the angular width of the fringe in water will reduce to 0.15°.
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads