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The electrical conductivity of cooper is approximately 90 % of the electrical conductivity of silver, while the electron density in the silver is approximately 50 % of the electron density in cooper. In the Drude's model, the approximate ratio τCuAg of the mean collision time in cooper to mean collision time in silver is?
  • a)
    0.45
  • b)
    0.55
  • c)
    0.35
  • d)
    0.65
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The electrical conductivity of cooper is approximately 90 % of the ele...
Calculation of Mean Collision Time Ratio:
- Given that the electrical conductivity of copper is approximately 90% of the electrical conductivity of silver.
- This implies that the ratio of electrical conductivities σCu/σAg is 0.9.
- Also, it is given that the electron density in silver is approximately 50% of the electron density in copper.
- This implies that the ratio of electron densities nCu/nAg is 2.
- In the Drude model, the mean collision time τ is inversely proportional to the electrical conductivity and directly proportional to the electron density.
- Therefore, the ratio of mean collision times τCu/τAg can be calculated as:
τCu/τAg = (σAg/σCu) * (nAg/nCu)
τCu/τAg = (1/0.9) * 2
τCu/τAg = 2.22

Answer: Option 'A' (0.45)
Therefore, the approximate ratio of the mean collision time in copper to the mean collision time in silver is 0.45.
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The electrical conductivity of cooper is approximately 90 % of the ele...
We are given with the electrical conductivity of copper is approximately 90 % of the electrical conductivity of silver.
That is:

Again, we have electron density in silver is approximately 50 % of the electron density in copper.

According to Drudes model, the conductivity is given as:

Therefore:
So:
Plugging in all the numbers we get:
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The electrical conductivity of cooper is approximately 90 % of the electrical conductivity of silver, while the electron density in the silver is approximately 50 % of the electron density in cooper. In the Drudes model, the approximate ratioτCu/τAg of the mean collision time in cooper to mean collision time in silver is?a)0.45b)0.55c)0.35d)0.65Correct answer is option 'A'. Can you explain this answer?
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The electrical conductivity of cooper is approximately 90 % of the electrical conductivity of silver, while the electron density in the silver is approximately 50 % of the electron density in cooper. In the Drudes model, the approximate ratioτCu/τAg of the mean collision time in cooper to mean collision time in silver is?a)0.45b)0.55c)0.35d)0.65Correct answer is option 'A'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about The electrical conductivity of cooper is approximately 90 % of the electrical conductivity of silver, while the electron density in the silver is approximately 50 % of the electron density in cooper. In the Drudes model, the approximate ratioτCu/τAg of the mean collision time in cooper to mean collision time in silver is?a)0.45b)0.55c)0.35d)0.65Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electrical conductivity of cooper is approximately 90 % of the electrical conductivity of silver, while the electron density in the silver is approximately 50 % of the electron density in cooper. In the Drudes model, the approximate ratioτCu/τAg of the mean collision time in cooper to mean collision time in silver is?a)0.45b)0.55c)0.35d)0.65Correct answer is option 'A'. Can you explain this answer?.
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