n Young's double slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is

Options

A. `sin^(-1)0 01`
B. `sin^(-1)0.0001`
C. `sin^(-1) 0.001`
D. `sin^(-1)0.1`

Answer

C

Explanation

Angular width= `(lambda)/(d)`
`sintheta= (lambda)/(d)`
`implies sintheta= (589 xx 10^(-9))/( 589 xx 10^(-6))= 10^(-3)`
`implies theta= sin^(-1)(0.001)`