The maximum intensity of emission occurs at a wavelength of \(1~\mu \text{m}\) in the spectrum of radiation emitted by a star. Take Wien's constant as \(3~\text{mm}\text-\text{K}.\) The surface temperature of the star is (nearly):
1. \(1000~\text K\) 2. \(3000~\text K\)
3. \(1000^\circ\text C\) 4. \(3000^\circ\text C\)
Subtopic:  Wien's Displacement Law |
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If \(\lambda_m\) denotes the wavelength at which the radioactive emission from a black body at a temperature \(T\) K is maximum, then:
1. \(\lambda_m\) is independent of \(T\)

2. \(\lambda_m \propto T\)

3. \(\lambda_m \propto T^{-1}\)

4. \(\lambda_m \propto T^{-4}\)

Subtopic:  Wien's Displacement Law |
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AIPMT - 2004

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Which of the following law states that \(\lambda_{m}\) is inversely proportional to absolute temperature?
(where \(\lambda_{m}\) is the wavelength at which maximum energy is emitted)
1. Stefan’s law
2. Rayleigh-Jeans law
3. Maxwell-Boltzmann law
4. Wien’s displacement law
Subtopic:  Wien's Displacement Law |
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The radiant emission spectrum from a blackbody shows a peak at a wavelength of \(3~\mu\text m.\) The temperature of the blackbody is nearly: 
(take Wien's constant \(=3~\text{mm}\cdot\text{K}\)):
1. \(1000^\circ\text C\) 2. \(1000~\text K\)
3. \(10000~\text K\) 4. \(10^5~\text K\)
Subtopic:  Wien's Displacement Law |
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A piece of iron is heated in a flame. It first becomes dull red, then becomes reddish yellow and finally turns to white-hot. The correct explanation for the above observation is possible by using:
1. Wien’s displacement Law
2. Kirchhoff’s Law
3. Newton’s Law of cooling
4. Stefan’s Law
Subtopic:  Wien's Displacement Law |
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AIPMT - 2013

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The dimensions of Wien's constant are:
1. \( \left [ MLTK \right ]\)
2. \( \left [ M^0LT^0K \right ]\)
3. \( \left [ M^0L^0TK \right ]\)
4. \( \left [ MLTK^{-1} \right ]\)

Subtopic:  Wien's Displacement Law |
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A black body has a wavelength \(\lambda_m\) corresponding to maximum energy at \(2000~\text{K}\). Its wavelength corresponding to maximum energy at \(3000~\text{K}\) will be:

1. \(\dfrac{3}{2}\lambda_m\) 2. \(\dfrac{2}{3}\lambda_m\)
3. \(\dfrac{16}{81}\lambda_m\) 4. \(\dfrac{81}{16}\lambda_m\)
Subtopic:  Wien's Displacement Law |
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AIPMT - 2001

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Consider the following two statements related to blackbody radiation and stellar temperatures:
Statement I: A blue star has a higher surface temperature than a red star.
Statement II: According to Wien’s displacement law, the wavelength corresponding to the maximum spectral emissive power of a blackbody is inversely proportional to its absolute temperature.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Wien's Displacement Law |
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When radiant energy from a blackbody at temperature \(T,\) is analysed, and the most probable wavelength of the radiation is \(\lambda_{\text{mp}},\) then:
1. \(\lambda_{\text{mp}}\propto T\)
2. \(\lambda_{\text{mp}}\propto \Large\frac1T\)
3. \(\lambda_{\text{mp}}\propto T^{1/2}\)
4. \(\lambda_{\text{mp}}\propto T^{\text-1/2}\)
Subtopic:  Wien's Displacement Law |
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The value of Wien's constant, \(b\) is \(3\times10^{-3}~\text{m-K}.\) The cosmic background radiation can be considered to be equivalent to a blackbody radiation at \(3~\text K.\) The most probable wavelength in this radiation is:
1. \(1~\text{mm}\)
2. \(1~\text{m}\)
3. \(10^3~\text{m}\)
4. \(1~\mu\text{m}\)
Subtopic:  Wien's Displacement Law |
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