A sphere P (emissivity=1) of radius 2R and and another sphere Q(emissivity=1/2) of radius R are placed in vacuum at some distance threre are no other objects. The temperature of the sphere Q is maintained at 200 K by the means of a heater. A fraction 1/32 of the power emitted by the sphere Q falls on the sphere P. if the equilibrium temperature of the sphere P is 10 T kelvin find the value of T.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the power emitted by sphere Q
The power emitted by a black body (emissivity = 1) is given by the Stefan-Boltzmann Law:
\[ P = \varepsilon \sigma A T^4 \]
where:
- \( \varepsilon \) is the emissivity,
- \( \sigma \) is the Stefan-Boltzmann constant,
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