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Question

The sun emits a light with maximum wavelength $$510nm$$ while another star emits a light with maximum wavelength of $$350nm$$. The ratio of surface temperature of sun and the star will be:


A
0.68
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B
2.1
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C
1.45
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D
0.46
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Solution

The correct option is A $$0.68$$
Applying Wein's displacement law,
$${\lambda}_{m}T=$$constant
$$\cfrac { { \lambda  }_{ m }^{ 1 } }{ { \lambda  }_{ m }^{ n } } =\cfrac { { T }_{ 2 } }{ { T }_{ 1 } } \Rightarrow \cfrac { 510 }{ 350 } =\cfrac { { T }_{ 2 } }{ { T }_{ 1 } } $$
$$\cfrac { { T }_{ 2 } }{ { T }_{ 1 } } =\cfrac { 51 }{ 35 } \Rightarrow \cfrac { { T }_{ 1 } }{ { T }_{ 2 } } =\cfrac { 35 }{ 51 } =0.68$$

Physics

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