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Question

A black body emits radiations of maximum intensity at  $$5000 { A } ^ { 0 }$$  when its temperature is  $$1227^{ { \circ  } }{ C }.$$  If  its temperature is increased by  $$1000 ^ { \circ } { C }$$  then the maximum intensity of emitted radiation will be at :


A
2754.8A0
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B
3000A0
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C
3500A0
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D
4000A0
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Solution

The correct option is B $$3000{ A }^{ { 0 } }$$
$$\begin{array}{l} { \lambda _{ 1 } }{ T_{ 1 } }={ \lambda _{ 2 } }{ T_{ 2 } } \\ \Rightarrow \left( { 5000 } \right) \left( { 1500 } \right) ={ \lambda _{ 2 } }\left( { 2500 } \right)  \\ \Rightarrow { \lambda _{ 2 } }=\dfrac { { 5000\times 15 } }{ { 25 } }  \\ =3000{ A^{ 0 } } \\ Hence, \\ option\, \, B\, \, is\, \, correct\, \, answer. \end{array}$$

Physics

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