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    If the temperature of a black body is doubled, then its radiant emittance becomes:
    Question

    If the temperature of a black body is doubled, then its radiant emittance becomes:

    A.

    Same as original value

    B.

    Twice the original value

    C.

    Four times the original value

    D.

    Sixteen times the original value

    Correct option is D


    The correct answer is: (d) Sixteen times the original value
    Explanation:
    The radiant emittance (also known as total power radiated per unit area) of a black body is given by Stefan–Boltzmann Law:
    ini
    CopyEdit
    E = σT⁴
    Where:
    • E is the radiant emittance
    • σ is the Stefan–Boltzmann constant
    • T is the absolute temperature in Kelvin
    If the temperature T is doubled, then:
    mathematica
    CopyEdit
    E' = σ(2T)⁴ = σ × 16T⁴ = 16E
    So, the radiant emittance becomes 16 times the original value.

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