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Power radiated from size and wavelength of maximum intensity (P proportional to R^2 / lambda^4)

This type of question, asked 5 times: May 2022 S1, 10 May 2023 S2, 26 Apr 2025 S1, 15 Apr 2026 S1, 12 May 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    May 2022 S1

    4
    Three discs x, y and z having radii 2 m, 3 m and 6 m respectively are coated on outer surfaces. The wavelength corresponding to maximum intensity are 300 nm, 400 nm and 500 nm respectively. If PxP_x, PyP_y and PzP_z are power radiated by them respectively then

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  2. Question 2

    10 May 2023 S2

    4
    The black discs x, y and z have radii 1 m, 2 m and 3 m respectively. The wavelengths corresponding to maximum intensity are 200 nm, 300 nm and 400 nm respectively. The relation between emissive power ExE_x, EyE_y and EzE_z is

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  3. Question 3

    26 Apr 2025 S1

    23
    Two black spheres P&QP\& Q have radii in the ratio 4:34:3. The wavelength of maximum intensity of radiation are in the ratio 4:54:5 respectively. The ratio of radiated power by P to Q is

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  4. Question 4

    15 Apr 2026 S1

    113
    A black disc has a radius 'R' and wavelength corresponding to the maximum intensity is 'λ\lambda'. The emissive power (E) for the different radii and maximum wavelengths is directly proportional to

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  5. Question 5

    12 May 2026 S1

    112
    Three spheres, P, Q and R, having radii 44 m, 55 m and 66 m respectively, are coated with lamp black on their outer surfaces. The wavelengths corresponding to maximum intensity (radiated) are 400400 nm, 500500 nm and 600600 nm respectively. If the powers radiated by them are PPP_P, PQP_Q and PRP_R respectively, then PP:PQ:PRP_P : P_Q : P_R is

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