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Question

In the graphs below, the resistance R of a superconductor is shown as a function of its temperature T for two different magnetic fields B subscript 1 end subscript (sold line) and B subscript 2 end subscript (dashed line). If B subscript 2 s end subscript is larger than B subscript 1 end subscript , which of the following graphs shows the correct variation of R with T in these fields? Electrical resistance of certain materials, known as superconductors, changes abruptly from a nonzero value to zero as their temperature is lowered below a critical temperature T subscript C end subscript (0). An interesting property of superconductors is that their critical temperature becomes smaller than T subscript C end subscript (0) if they are placed in a magnetic field, i.e., the critical temperature T subscript C end subscript (B) is a function of the magnetic field strength B. The dependence of T subscript C end subscript (B) on B is shown in the figure.

A superconductor has T subscript C end subscript (0) = 100 K. When a magnetic field of 7.5 Tesla is applied, its T subscript C end subscript decreases to 75 K. For this material one can definitely say that when

  1. B equals 5 Tesla, T subscript C end subscript left parenthesis B right parenthesis equals 80 text end text K    
  2. B equals 5 Tesla, 75 K less than T subscript C end subscript (B) less than 100 text end text K    
  3. B equals 10 Tesla, 75 text end text K less than T subscript C end subscript (B) less than 100 text end text K    
  4. B equals 10 Tesla, T subscript c end subscript (B) equals 70 text end text K    

The correct answer is: B equals 5 Tesla, 75 K less than T subscript C end subscript (B) less than 100 text end text K

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In the graphs below, the resistance R of a superconductor is shown as a function of its temperature T for two different magnetic fields B subscript 1 end subscript (sold line) and B subscript 2 end subscript (dashed line). If B subscript 2 s end subscript is larger than B subscript 1 end subscript , which of the following graphs shows the correct variation of R with T in these fields? Electrical resistance of certain materials, known as superconductors, changes abruptly from a nonzero value to zero as their temperature is lowered below a critical temperature T subscript C end subscript (0). An interesting property of superconductors is that their critical temperature becomes smaller than T subscript C end subscript (0) if they are placed in a magnetic field, i.e., the critical temperature T subscript C end subscript (B) is a function of the magnetic field strength B. The dependence of T subscript C end subscript (B) on B is shown in the figure.

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