Suppose a monochromatic X-ray beam of wavelength 100 pm is sent through a Young's double slit and the interference pattern is observed on a photographic plate placed 40 cm away from the slit. What should be the separation between the slits so that the successive maxima on the screen are separated by a distance of 0.1 mm?

Explanation

Given `lambda =10p m=100xx10^-12m `
` D=40p m=40xx10^-2m `
` beta=0.1mm=0.1xx10^-3m `
` beta=(lambdaD)/beta `
`d=(lambdaD)/beta`
` =(100xx10^-12xx40xx10^-2)/(10^-3xx0.1) `
` 4xx10^-7m`