A black body has maximum wavelength ` lambda _m ` at 2000 K. Its corresponding wavelength at 3000 K will be :

Options

A. ` (3)/( 2 ) lambda_m`
B. ` (2)/(3) lambda _ m `
C. ` (16)/(81) lambda_m `
D. ` (4)/(3) lambda_m `

Answer

B

Explanation

` " " (lambda _1)/(lambda _2) = (T_2)/(T_1) `
` " " (lambda _m)/(lambda _2) =(3000)/(2000) `
` rArr " " lambda _2= (2)/(3) lambda_m `