Two stars `A` and `B` radiate maximum energy at wave lengths `4000Å` and `5000Å` respectively. The ratio of their temperature will be-

Options

A. `1 : 2`
B. `2 : 1`
C. `4 : 5`
D. `5 : 4`

Explanation

To find the ratio of the temperatures of the two stars A and B that radiate maximum energy at wavelengths of 4000 Å and 5000 Å respectively, we can use Wien's Displacement Law. Here’s a step-by-step solution:

### Step 1: Understand Wien's Displacement Law
Wien's Displacement Law states that the wavelength at which the intensity of radiation is maximum (λm) is inversely proportional to the absolute temperature (T) of the black body. Mathematically, it can be expressed as:
\[ \lambda_m \cdot T = b \]
where \( b \) is a constant.

### Step 2: Set Up the Equation
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