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A black body at a temperature of 2600 K has the wavelength corresponding to maximum emission 1200 A. Assuming the moon to be perfectly black body the temperature of the moon, if the wavelength corresponding to maximum emission is 5000 A is
  • a)
    7800 K
  • b)
    6240 K
  • c)
    5240 K
  • d)
    3640 K
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A black body at a temperature of 2600 K has the wavelength correspondi...
To solve this question, we can use Wien's displacement law, which states that the wavelength corresponding to the maximum emission of a black body is inversely proportional to its temperature. Mathematically, this can be expressed as:

λ_max = b / T

where λ_max is the wavelength corresponding to maximum emission, T is the temperature, and b is a constant known as Wien's displacement constant.

1. Given Data:
- Temperature of the black body (2600 K)
- Wavelength corresponding to maximum emission of the black body (1200 A)

2. Finding the value of the constant:
λ_max = b / T
1200 A = b / 2600 K
b = 1200 A * 2600 K
b = 3120000 A.K

3. Finding the temperature of the moon:
λ_max = b / T
5000 A = 3120000 A.K / T
T = 3120000 A.K / 5000 A
T ≈ 624 K

Therefore, the temperature of the moon is approximately 6240 K.

The correct answer is option B (6240 K).

Note: Please note that the given answer options are given in Kelvin (K), not in Kelvin multiplied by a factor. So, the correct answer is 6240 K, not 6240 K multiplied by any factor.
Free Test
Community Answer
A black body at a temperature of 2600 K has the wavelength correspondi...
Wavelength *temperature = constant
1200*2600 =5000*T
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A black body at a temperature of 2600 K has the wavelength corresponding to maximum emission 1200 A. Assuming the moon to be perfectly black body the temperature of the moon, if the wavelength corresponding to maximum emission is 5000 A isa)7800 Kb)6240 Kc)5240 Kd)3640 KCorrect answer is option 'B'. Can you explain this answer?
Question Description
A black body at a temperature of 2600 K has the wavelength corresponding to maximum emission 1200 A. Assuming the moon to be perfectly black body the temperature of the moon, if the wavelength corresponding to maximum emission is 5000 A isa)7800 Kb)6240 Kc)5240 Kd)3640 KCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A black body at a temperature of 2600 K has the wavelength corresponding to maximum emission 1200 A. Assuming the moon to be perfectly black body the temperature of the moon, if the wavelength corresponding to maximum emission is 5000 A isa)7800 Kb)6240 Kc)5240 Kd)3640 KCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A black body at a temperature of 2600 K has the wavelength corresponding to maximum emission 1200 A. Assuming the moon to be perfectly black body the temperature of the moon, if the wavelength corresponding to maximum emission is 5000 A isa)7800 Kb)6240 Kc)5240 Kd)3640 KCorrect answer is option 'B'. Can you explain this answer?.
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