Two stars A and B radiate maximum energy at wavelength 3.9 10⁻⁷ m and 5.2 10⁻⁷ m respectively. The ratio of the temperature of star A to that of star B will be

Step-by-step solution

Using Wien's displacement law, _ m T = b (constant). Therefore, _ A T_ A = _ B T_ B T_ A T_ B = _ B _ A Substituting the given values: T_ A T_ B = 5.2 10⁻⁷ 3.9 10⁻⁷ T_ A T_ B = 52 39 = 4 3 The ratio of the temperature of star A to that of star B is 4 : 3 . Answer: 4 : 3