A) \[{{Q}_{a,\,}}\]is maximum
B) \[{{Q}_{b,}}\]is maximum
C) \[{{Q}_{c}}\]is maximum
D) \[{{Q}_{a,\,}}={{Q}_{b,}}\,={{Q}_{c}}\]
Correct Answer: B
Solution :
[b] Radiated power \[P=Ae\sigma {{T}^{4}}\Rightarrow P\propto A{{T}^{4}}\] From Wein's law, \[{{\lambda }_{m}}T\]= constant \[\Rightarrow T\propto \frac{1}{{{\lambda }_{m}}}\] \[\therefore P\propto \frac{A}{{{({{\lambda }_{m}})}^{4}}}\propto \frac{{{r}^{2}}}{{{({{\lambda }_{m}})}^{4}}}\] \[\Rightarrow {{Q}_{A}}:{{Q}_{B}}:{{Q}_{C}}=\frac{{{2}^{2}}}{{{(300)}^{4}}}:\frac{{{4}^{2}}}{{{(400)}^{4}}}:\frac{{{6}^{2}}}{{{(500)}^{4}}}\] \[\therefore {{Q}_{B}}\]will be maximum.You need to login to perform this action.
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