In the graph below, the resistance R of a superconductor is shown as a friction of its temperature T for two different magnetic fields B1 (solid line) and B2 (dashed line). If B2 is larger than B1 which of the following graphs shows the correct variation of R with T in these fields?- A

- B

- C

- D

View written solutionFree
Correct answer: A
-
Key physical fact
For a superconductor, the resistance behaves as:
- for
- for
Also, the critical temperature decreases when magnetic field increases:
-
Meaning for the vs graph
Since is larger than , superconductivity is destroyed more easily in field . Therefore the transition to zero resistance must occur at a lower temperature for than for .
So in the – plot:
- the curve for should drop to zero at a higher temperature,
- the curve for should drop to zero at a lower temperature.
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Relative positions of the two curves
For temperatures between the two critical temperatures, we have:
- at : material is superconducting, so ,
- at : material is still normal, so .
Hence the curve must lie to the left/lower-temperature side of the transition.
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Correct option
Therefore the correct graph is the one in which the resistance drop for occurs at a lower temperature than for .
That corresponds to Option A.
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Comparison with stored answer
Stored correct answer = A.
My derived answer = A.
So they agree.
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