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Electrical resistance of certain materials, known as superconductors, changes abruptly from a nonzero value of zero as their temperature is lowered below a critical temperature `T_(C) (0)`. An interesting property of super conductors is that their critical temperature becomes smaller than `T_(C) (0)` if they are placed in a magnetic field, i.e., the critical temperature `T_(C) (B)` is a function of the magnetic field strength B. The dependence of `T_(C) (B)` on B is shown in the figure.
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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_1`(solid line) and `B_2` (dashed line). If `B_2` is larget than `B_1` which of the following graphs shows the correct variation of R with T in these fields?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
a
Largest the magnetic field, smaller the critical temperature.
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Knowledge Check

  • Electrical resistance of certain materials, known as superconductors, changes abruptly from a nonzero value of zero as their temperature is lowered below a critical temperature T_(C) (0) . An interesting property of super conductors is that their critical temperature becomes smaller than T_(C) (0) if they are placed in a magnetic field, i.e., the critical temperature T_(C) (B) is a function of the magnetic field strength B. The dependence of T_(C) (B) on B is shown in the figure. . A superconductor has T_(C) (0) = 100 K . When a magnetic field of 7.5 Tesla is applied , its T_(C) decreases to 75 K. For this material one can difinitely say that when

    A
    `B = 5 Tesla, T_(C) (B) = 80K`
    B
    `B= 5Tesla, 75 K lt T_(C)(B) lt 100K`
    C
    `B= 10 Tesla, 75ltT_(C)(B) lt100 K `
    D
    `B = 10 Tesla, T_(C) (B) = 70K`.

  • Electrical resistance of certain materials, known as superconductors , changes abruptly from a non-zero value to zero as their temperature is lowered below a critical temperature T_c (0) An interesting property of superconductors is that their critical temperature becomes smaller than T_c (0) if they are placed in a magnetic field, that is, the critical temperature T_c (B) is a function of the magnetic field strength B. The dependence of T_c(B) on magnetic field is shown in the below figure . A superconductor has T_(c)(0)=100K . When a magnetic field of 7.5T is applied, its T_(c) decreases to 75K. For this material, one can definetly say that when

    A
    `B=5T, T_(C)(B)=80K`
    B
    `B=5T, 75 K lt T_(c) (B) lt 100K`
    C
    `B=10T, 75K lt T_(c) lt 100K`
    D
    `B=10T, T_(c)=70K`

  • Electrical resistance of certain materials, known as superconductors, changes abruptly from a nonzero value to zero as there is lowered below a critical temperature T_(C)(0) . An interseting property of supercoductors is that their critical temperature becomes smaller than T_(C)(0) if they are placed in a magnetic field , i.e., the critical temperature T_(C) (B) on B si shown in the figure. A superconductor has T_(C) (0)=100K . When a magnetic field of 7.5 Tesla is applied , its T_(C) decreases to 75 . For this material one can definitely say that when :

    A
    B=5 Tesla, `T_(C)(B)=80K`
    B
    B=5 Tesla,`75K lt T_(C)(B) lt 100K`
    C
    B=1 Tesla, `75K lt T_(C)(B) lt 100 K`
    D
    B=10 Tesla, `T_(C)(B)=70K`

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    The alternate discs of iron and carbon, having same area of cross-section are cemented together to make a cylinder whose temperature coefficient of resistivity is zero. The change in temperature in two alternate discs is same. The ratio of their thickness and ratio of heat produced in them is found out. The resistivity of iron and carbon at 20^@C" are "1 xx 10^(-7) and 3 xx 10^(-5)Omegam and their temperature coefficient of resistance are 5 xx 10^(-3)""^(@)C and -7.5 xx 10^(-4)""^(@)C, respectively, Thermal expansion is neglected. Here, triangleR_1 +triangleR_2= 0 (where triangleR_1, and triangleR_2 , are the increase in resistances of iron and carbon, respectively, with the rise in temperature) because combined temperature coefficient of resistivity is given as zero. A copper wire is stretched to make it 1% longer. The percentage change in its resistance is Electrical resistance of certain materials, known as super conductors changes abruptly from a non zero value to zero as their temperture is lowered below a critical temperature T_c(0) An interesting property of superconductors is that their critical temperature becomes smaller than T_c(0) if they are placed in a magnetic field, that is, the critical temperature T_c(B) is a function of the magnetic field strength B. The dependence of T_c(P) on magnetic field is shown in the below figure.

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