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MHT CET · Physics · Thermal Properties of Matter

Two stars ' \(\mathrm{P}\) ' and ' \(\mathrm{Q}\) ' emit yellow and blue light respectively. The relation between their temperatures \(\left(\mathrm{T}_{\mathrm{P}}\right.\) and \(\left.\mathrm{T}_{\mathrm{Q}}\right)\) is

  1. A \(\mathrm{T}_{\mathrm{P}}=\mathrm{T}_{\mathrm{Q}}\)
  2. B \(\mathrm{T}_{\mathrm{P}}=\frac{\mathrm{T}_{\mathrm{Q}}}{2}\)
  3. C \(\mathrm{T}_{\mathrm{P}}>\mathrm{T}_{\mathrm{Q}}\)
  4. D \(\mathrm{T}_{\mathrm{P}} < \mathrm{T}_{\mathrm{Q}}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\mathrm{T}_{\mathrm{P}} < \mathrm{T}_{\mathrm{Q}}\)

Step-by-step Solution

Detailed explanation

According to wien's law, \(\lambda T=\) constant
\(\therefore \mathrm{T} \propto \frac{1}{\lambda}\)
wavelength of blue light is less that than of yellow light.
Hence, temperature of \(\mathrm{Q}\) is greater than temperature of \(\mathrm{P}\).