1.

Three discs, A, B and C having radii 2m, 4m and6m respectively are coated with carbon black on their outer surfaces. The wavelengths corresponding to maximum intensity are `300nm, 400nm` and `500 nm`, respectively. The power radiated by them are `Q_A, Q_B and Q_C` respectively (a) `Q_A` is maximum (b) `Q_B` is maximum (c) `Q_C` is maximum (d) `Q_A = Q_B = Q_C`

Answer» Correct Answer - A
(b) `Q prop AT^4 and lambda_mT= constant.`
Hence,
`Q prop A/(lambda_m)^4 or Q prop (r^2)/(lambda_m)^4`
`Q_A:Q_B:Q_C = (2)^2/(3)^4:(4)^2/(4)^4: (6)^2/(5)^4 = 4/81 : 1/16 : 36/625 = 0.05 : 0.0625 : 0.0576`
i.e.`Q_B` is maximum.


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