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A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?
- a)U1 > U2
- b)U2 > U1
- c)U1 = 0
- d)U3 = 0
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A black body is at a temperature of 5760 K. The energy of radiation e...
Explanation:
To determine the correct option, we need to understand the relationship between the energy of radiation emitted and the wavelength of the radiation.
According to Wien's displacement law, the wavelength at which the energy of radiation emitted is maximum is inversely proportional to the temperature of the black body. Mathematically, this can be represented as:
λmax = b / T
where λmax is the wavelength at which the energy emitted is maximum, b is Wien's constant, and T is the temperature of the black body.
Now, let's analyze the given options:
a) U1 > U2:
If U1 > U2, it means that the energy emitted at 250 nm is greater than the energy emitted at 500 nm. According to Wien's displacement law, if the wavelength decreases, the energy of radiation emitted increases. Since the wavelength of the radiation at 250 nm is smaller than the wavelength at 500 nm, the energy emitted at 250 nm should be greater than the energy emitted at 500 nm. Therefore, option 'a' is incorrect.
b) U2 > U1:
If U2 > U1, it means that the energy emitted at 500 nm is greater than the energy emitted at 250 nm. As explained above, since the wavelength of the radiation at 250 nm is smaller than the wavelength at 500 nm, the energy emitted at 250 nm should be greater than the energy emitted at 500 nm. Therefore, option 'b' is correct.
c) U1 = 0:
If U1 = 0, it means that no energy is emitted at a wavelength of 250 nm. This would imply that the black body does not emit any radiation at that particular wavelength. However, according to the laws of thermal radiation, a black body emits radiation at all wavelengths. Therefore, option 'c' is incorrect.
d) U3 = 0:
If U3 = 0, it means that no energy is emitted at a wavelength of 1000 nm. Similar to the explanation above, this would imply that the black body does not emit any radiation at that particular wavelength. However, a black body emits radiation at all wavelengths. Therefore, option 'd' is incorrect.
In conclusion, the correct option is 'b) U2 > U1'.
To determine the correct option, we need to understand the relationship between the energy of radiation emitted and the wavelength of the radiation.
According to Wien's displacement law, the wavelength at which the energy of radiation emitted is maximum is inversely proportional to the temperature of the black body. Mathematically, this can be represented as:
λmax = b / T
where λmax is the wavelength at which the energy emitted is maximum, b is Wien's constant, and T is the temperature of the black body.
Now, let's analyze the given options:
a) U1 > U2:
If U1 > U2, it means that the energy emitted at 250 nm is greater than the energy emitted at 500 nm. According to Wien's displacement law, if the wavelength decreases, the energy of radiation emitted increases. Since the wavelength of the radiation at 250 nm is smaller than the wavelength at 500 nm, the energy emitted at 250 nm should be greater than the energy emitted at 500 nm. Therefore, option 'a' is incorrect.
b) U2 > U1:
If U2 > U1, it means that the energy emitted at 500 nm is greater than the energy emitted at 250 nm. As explained above, since the wavelength of the radiation at 250 nm is smaller than the wavelength at 500 nm, the energy emitted at 250 nm should be greater than the energy emitted at 500 nm. Therefore, option 'b' is correct.
c) U1 = 0:
If U1 = 0, it means that no energy is emitted at a wavelength of 250 nm. This would imply that the black body does not emit any radiation at that particular wavelength. However, according to the laws of thermal radiation, a black body emits radiation at all wavelengths. Therefore, option 'c' is incorrect.
d) U3 = 0:
If U3 = 0, it means that no energy is emitted at a wavelength of 1000 nm. Similar to the explanation above, this would imply that the black body does not emit any radiation at that particular wavelength. However, a black body emits radiation at all wavelengths. Therefore, option 'd' is incorrect.
In conclusion, the correct option is 'b) U2 > U1'.
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A black body is at a temperature of 5760 K. The energy of radiation e...
According to Wein's displacement law
Clearly from graph, U1 < />2 < />3
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A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer?.
A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer?.
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A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3 Wien's constant, b = 2.88 × 106nmK. Which of the following is correct?a)U1 > U2b)U2 > U1c)U1 = 0d)U3 = 0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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