Question

Energy is being emitted from the surface of a black body at temperature at the rate of . Temperature of the black body at which the rate of energy emission is will be

• A.
• B.
• C. $527 ^ { \circ } \mathrm { C }$
• D.

Answer 1

Answer: (C)

$527 ^ { \circ } \mathrm { C }$

Answer 2

$\frac { E _ { 2 } } { E _ { 1 } } = \left( \frac { T _ { 2 } } { T _ { 1 } } \right) ^ { 4 }$⇒$T _ { 2 } = \left( \frac { E _ { 2 } } { E _ { 1 } } \right) ^ { 1 / 4 } \times T _ { 1 } = ( 16 ) ^ { 1 / 4 } \times ( 273 + 127 )$

⇒ T₂ $= 800 \mathrm {~K} = 527 ^ { \circ } \mathrm { C }$