Two black spheres 'P' and 'Q' have radii in the ratio $3: 2$. The wavelengths of maximum intensity radiation…

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
  1. $\frac{74}{9}$
  2. $\frac{64}{9}$
  3. $\frac{16}{9}$
  4. $\frac{25}{9}$

Solution

The ratio of radiated power is based on the surface area and temperature of the spheres. Since the radii are given in a ratio and the wavelengths of maximum intensity follow Wien's displacement law, the power radiated by the spheres can be calculated. The correct answer is:(2) ~

Asked in: MHT CET 2020 (12 Oct Shift 2)

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