MHT CET · Physics · Thermal Properties of Matter
Two black spheres 'P' and 'Q' have radii in the ratio \(3: 2\). The wavelengths of maximum intensity radiation are in the ratio \(3: 4\) respectively. The ratio of radiated power by 'P' to 'Q' is
- A \(\frac{74}{9}\)
- B \(\frac{64}{9}\)
- C \(\frac{16}{9}\)
- D \(\frac{25}{9}\)
Answer & Solution
Correct Answer
(B) \(\frac{64}{9}\)
Step-by-step Solution
Detailed explanation
\( \frac{T_P}{T_Q} = \frac{\lambda_{max,Q}}{\lambda_{max,P}} = \frac{4}{3} \) \( \frac{P_P}{P_Q} = \left(\frac{R_P}{R_Q}\right)^2 \left(\frac{T_P}{T_Q}\right)^4 \)
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