Two narrow slits emitting light in phase are separated by a distance of 1-0 cm. The wavelength of the light is `5.0x10^-7` m. The interference pattern is observed on a screen placed at a distance of 1-0 m. (a) Find the separation between the consecutive maxima. (b) Find the separation between the sources which will give a separation of 1.0 mm between the consecutive maxima.

Answer

A, B

Explanation

Given that `d=1cm=10^-2m`
`=lamda=5xx10^-7m and D=1m`
a. Separation between two consecutive maxima is equal to fringe to fringe width.
so, `beta=(lamdaD)/d`
`=(5xx10^-7xx1)/10^-2m`
`=5xx10^I-5m=0.05mm`
b. When `beta=1mm=10^-3m`
`=10^-3m=(5xx10^-7xx1)/d`
`rarr d=5xx10^-4m`
`=0.50mm`.