Question:
Two stars 'A' and 'B' radiate maximum energy at \(5200\text{ \AA}\) and \(6500\text{ \AA}\) respectively. Then the ratio of absolute temperatures of stars ' A ' and ' B ' is
Two stars 'A' and 'B' radiate maximum energy at \(5200\text{ \AA}\) and \(6500\text{ \AA}\) respectively. Then the ratio of absolute temperatures of stars ' A ' and ' B ' is
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Hotter body $\rightarrow$ shorter wavelength
Updated On: May 8, 2026
- 25 : 16
- 5 : 4
- 4 : 5
- 16 : 25
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The Correct Option is B
Solution and Explanation
Concept: Wien’s displacement law: \[ \lambda_{\max} T = \text{constant} \Rightarrow T \propto \frac{1}{\lambda} \]
Step 1: Set ratio. \[ \frac{T_A}{T_B} = \frac{\lambda_B}{\lambda_A} \]
Step 2: Substitute values. \[ \frac{T_A}{T_B} = \frac{6500}{5200} = \frac{5}{4} \]
Step 3: Conclusion.
Ratio = $5 : 4$ Final Answer: Option (B)
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