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Thermodynamics

# The wavelength $\;\lambda_{m}\;$ of maximum intensity of emission of solar radiation is $\;\lambda_{m}=14\; \mu m\;$. The surface temperatures of sun and moon are (given $b= 2.898 \times 10^{-3} \; metre/Kelvin$).

$(a)\;6097\;K ,207\;K\qquad(b)\;8097\;K ,307\;K\qquad(c)\;10000\;K ,400\;K\qquad(d)\;3000\;K ,100\;K$

Answer : $\;6097\;K ,207\;K$