Stars `S_(1)` emits maximum radiation of wave length `420nm` and the star `S_(2)` emits maximum radiation of wavelength `560nm`, what is the ratio of the temperature of `S_(1)` and `S_(2)` :

Options

A. `4//3`
B. `(4//3)^(1//4)`
C. `3//4`
D. `(3//4)^(1//2)`

Explanation

To find the ratio of the temperatures of the two stars \( S_1 \) and \( S_2 \) based on their maximum radiation wavelengths, 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 emission of a black body spectrum is maximized is inversely proportional to the temperature of the body. Mathematically, it can be expressed as:
\[ \lambda_m \times T = b \]
where:
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