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Question: The spectra of a black body at temperatures 327<sup>0</sup>C and 627<sup>0</sup>C are shown in the F...

The spectra of a black body at temperatures 3270C and 6270C are shown in the Fig. If A1 and A2 be the areas under the two curves respectively, the value of A2/A1 is –

A

8116\frac{81}{16}

B

94\frac{9}{4}

C

278\frac{27}{8}

D

1681\frac{16}{81}

Answer

8116\frac{81}{16}

Explanation

Solution

Area enclosed is the total radiation emitted

A2A1\frac{A_{2}}{A_{1}}= E2E1\frac{E_{2}}{E_{1}}= (T2T1)4\left( \frac{T_{2}}{T_{1}} \right)^{4}