In two similar interferce experiments, wavelengths of light used were in the ratio `4:5`, the sources ot screen distances were in the ratio `5:6` and the sources separation in the ration `2:3`. The ratio of their band width is

Options

A. `1:1`
B. `1:2`
C. `2:1`
D. `1:4`

Answer

A

Explanation

` beta=(D)/(d)lambda`
`(beta_(1))/( beta_(2))=(D_(1))/(D_(2))xx (lambda_(1))/(lambda_(2)) xx (d_(2))/(d_(1))`
`=(5)/(6)xx (4)/(5) xx (3)/(2) =(1)/(1)`