In Young's double-slit experiment the angular width of a fringe formed on a distant screen is `1^(@)`. The wavelength of light used is `6000 Å`. What is the spacing between the slits?

Options

A. 0.02 mm
B. 0.05 mm
C. 0.0344 mm
D. 0.012 mm

Answer

C

Explanation

`1^(@)=(pi)/(180)` radian
Angular width (`theta`) in radian
`=X/D=(lamdaD)/(dxxD)=(lamda)/(d)`
`therefore d=(lamda)/(theta)=(lamda)/(pi//180)=(180xx6xx10^(-7))/(3.14)`
`=0.0344` mm