Which of the following expressions gives the total emissive power of a blackbody…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Which of the following expressions gives the total emissive power

E

of a blackbody directly in terms of its wavelength of maximum emission

\lambda_{\max}

only (symbols have their usual meanings)? (a)

E = 4\sigma b^{4}\,\lambda_{\max}^{-4}

(b)

E = \dfrac{\sigma b^{4}}{4}\,\lambda_{\max}^{-4}

(c)

E = \sigma b^{4}\,\lambda_{\max}^{-4}

(d)

E = \pi\sigma b^{4}\,\lambda_{\max}^{-4}