The number of incorrect statement(s) about the black body from the following is: (1) Emits or absorbs energy in the form of electromagnetic radiation. (2) Frequency distribution of the emitted radiation depends on temperature. (3) At a given temperature, intensity vs frequency curve passes through a maximum value. (4) The maximum of the intensity vs frequency curve is at a higher frequency at higher temperature compared to that at lower temperature.
JEE Chemistry 2023 Question with Solution
Answer
Correct answer:0
Step-by-step solution
Standard Method
Given: Four statements about black body radiation are provided.
Find: The number of incorrect statements.
Step 1: Evaluate each statement.
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Statement (1) says that a black body emits or absorbs energy in the form of electromagnetic radiation. This is correct.
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Statement (2) says that the frequency distribution of emitted radiation depends on temperature. This is correct and follows from Planck's law.
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Statement (3) says that at a given temperature, the intensity versus frequency curve passes through a maximum value. This is correct.
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Statement (4) says that the maximum of the intensity versus frequency curve shifts to a higher frequency at higher temperature. This is correct and is explained by Wien's displacement law.
Step 2: Count the incorrect statements.
All four statements are correct.
Therefore, the number of incorrect statements is .
Common mistakes
Assuming that a black body only emits radiation and does not absorb it. This is wrong because an ideal black body is also a perfect absorber. Always remember both emission and absorption properties.
Thinking that the peak frequency remains fixed when temperature changes. This is wrong because the distribution shifts with temperature. Use Wien's displacement idea to track how the peak moves.
Confusing total intensity with frequency distribution. This is wrong because the question asks about the shape and peak of the intensity versus frequency curve, not only the total emitted energy. Check what quantity is being discussed.
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