In Fresnel's biprism experiment, the 5th maximum for wavelength `lamda_(1)` is at a distance `d_(1)` from the central bright bannd. If the 5th maximum for wavelength `lamda_(2)` is at a distance `d_(2)` from the central bright band, then the ratio `d_(1)/d_(2)` is

Options

A. `lamda_(1)^(2)/lamda_(2)^(2)`
B. `lamda_(2)^(2)/lamda_(1)^(2)`
C. `lamda_(1)/lamda_(2)`
D. `lamda_(2)/lamda_(1)`

Answer

C

Explanation

`d_(1)=5X_(1)=(5lamda_(1)D)/(d),d_(2)=5X_(2)=(5lamda_(2)D)/(d)`
`therefore (d_(1))/(d_(2))=(lamda_(1))/(lamda_(2))`