The adjoining diagram shows the spectral energy density distribution Eλ of a bl

Discussion Forum : Heat Transfer

Question -

The adjoining diagram shows the spectral energy density distribution $E_{λ}$ of a black body at two different temperatures. If the areas under the curves are in the ratio 16 : 1, find the value of temperature T.

Options:

A . 3000K

B . 4000 K

C . 5000 K

D . 6000 K

Answer: Option B
:
B

Area under curve represents the emissive power of the body

$\frac{E_{T}}{E_{2000}} = \frac{A_{T}}{A_{2000}} = \frac{16}{1}$ (given) ...(i)

But from Stefan's law E α T4

$∴ \frac{E_{T}}{E_{2000}} = {(\frac{T}{2000})}^{4}$ ...(ii)

From (i) and (ii) ${(\frac{T}{2000})}^{4} = \frac{16}{1}$

$\Rightarrow \frac{T}{2000} = 2 \Rightarrow T = 4000 k$ .

Was this answer helpful ?

Next Question

Discussion Forum : Heat Transfer

Submit Your Solution hear: