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11.Thermodynamics
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........ $K$ તાપમાને સંપૂર્ણ કાળો પદાર્થ $5.67 \,W\,\, cm^{-2}$ ના દરથી વિકિરણનું ઉત્સર્જન કરશે? સ્ટિફનનો અચળાંક $5.67 \times 10^{-8} m^{-2} K^{-4}$.
A
$1000 $
B
$1200 $
C
$800 $
D
$550 $
Solution
આપેલ $E = 5.67 \,\,W\,\, cm^{-2} = 5.67 × 10^{+4}\,\, W \,\,m^{-2}, $
$\sigma = 5.67 ×10^{-8} J s^{-1} m^{-2} K^{-4}$
ઉપયોગ કરી, $E\,\, = \,\,\,\sigma \,{T^4}\,;\,\,{T^4} = \,\,\frac{E}{\sigma }\,\,\,$
$\,\,\,T\,\, = \,\,\,{\left[ {\frac{E}{\sigma }} \right]^{\frac{1}{4}}}\, = \,\,\,\left[ {\frac{{5.67\,\, \times \,\,{{10}^{ + 4}}}}{{5.67\,\, \times \,\,{{10}^{ – 8}}}}} \right]$
$ = \,\,{({10^{12}})^{1/4}} = \,\,1000\,\,K$
Standard 11
Physics
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