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QPages 97-98: Q5: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 97-98: Q5 Solution: A heated body emits radiation which has maximum intensity near…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often recall Wien’s law as $\lambda_{\max}T=\text{constant}$ and mistakenly apply it to frequency, concluding that doubling $T$ halves the peak frequency. Remember that $\nu_{\max}\propto T$ (the inverse of the wavelength form), so when $T$ doubles the peak frequency also doubles, while the total radiated power scales as $T^4$ regardless of emissivity being constant.

A heated body emits radiation which has maximum intensity near the frequency ν0\nu_0. The emissivity of the material is 0.5. If the absolute temperature of the body is doubled.

Multiple Choice Options

  • A the maximum intensity of radiation will be near the frequency 2ν02\nu_0
  • B the maximum intensity of radiation will be near the frequency ν0/2\nu_0/2
  • C the total energy emitted will increase by a factor of 16
  • D the total energy emitted will increase by a factor of 8

Step-by-Step Verified Solution

**Answer:** (a), (c). **Step-by-Step Explanation:** By Wien's law, if T doubles, the peak frequency doubles (a). By Stefan's law, total energy increases by 2_ = 16 times (c).

All Questions in this Chapter

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