Two stars A and B radiate maximum energy at the wavelength of 360nm and 480 nm respectively. Then the ratio of the surface temperatures of A and B is

Options

A. `3 : 4`
B. `81 :256`
C. `4:3`
D. `256: 81`

Answer

C

Explanation

According to Wein's displacement law
`lamda_(max)`T = constant
`:. (lamda_(A_(max)))/(lamda_(B_(max))) = (T_(B))/(T_(A))`
`:. (T_(A))/(T_(B)) = (lamda_(B_(max)))/(lamda_(A_(max))) = (480 nm)/(360 nm) = (4)/(3)`