Q. No.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 λm denotes the wavelength at which the radioactive emission from a black body at a temperature T K is maximum, then:
1. λm is independent of T
2. λm ∝ T
3. λm ∝ T–1
4. λm ∝ T– 4
Subtopic: Wien's Displacement Law |
87%
Level 1: 80%+
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
(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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Level 1: 80%+
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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 \(=3~\text{mm}\cdot\text{K}\)):
(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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Level 1: 80%+
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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 |
85%
Level 1: 80%+
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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Level 1: 80%+
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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 |
82%
Level 1: 80%+
AIPMT - 2001
Hints
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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Level 1: 80%+
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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. \(\lambda_{\text{mp}}\propto T^{\text-1/2}\)
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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Level 1: 80%+
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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. \(1~\mu\text{m}\)
1. \(1~\text{mm}\)
2. \(1~\text{m}\)
3. \(10^3~\text{m}\)
4. \(1~\mu\text{m}\)
Subtopic: Wien's Displacement Law |
80%
Level 1: 80%+
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