Question

Two stars ‘A’ and ‘B’ radiate maximum energy at 5200 Å and 6500 Å respectively. Then the ratio of absolute temperatures of stars ‘A’ and ‘B’ is ______.

Options

• 25 : 16

• 5 : 4

• 4 : 5

• 16 : 25

Answer 1

Two stars ‘A’ and ‘B’ radiate maximum energy at 5200 Å and 6500 Å respectively. Then the ratio of absolute temperatures of stars ‘A’ and ‘B’ is 5 : 4.

Explanation:

Wavelength of star A = 5200 Å

Wavelength of star B = 6500 Å

According to Wien’s law,

`T_A/T_B = lambda_(m_B)/lambda_(m_A)`

= `6500/5200`

= `5/4`