The wavelength difference of light waves of the wave numbers ` 2 xx 10 ^6 ` per m and 2 ` 25 xx 10 ^ 6 ` per m is

Options

A. `0.556 xx 10 ^( - 6 ) ` m
B. `0.0556 xx 10 ^( 6 ) ` m
C. `0.556 xx 10 ^( - 6 ) ` m
D. ` 0.556 xx 10 ^( 6 ) ` m

Answer

C

Explanation

Wavelength is
` lamda = ( 1 ) /( 2xx 10^ 6 ) - ( 1 ) /( 2.25 xx 10 ^ 6 ) `
` = ( 2.25 - 2 ) /( 2xx 2.25 xx 10 ^ 6 ) = ( 0.25 ) /( 2 xx 2.25 xx 10 ^ 6 ) `
` = 0.0556 xx 10 ^( - 6 ) m`