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  4. 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 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, 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. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/f461ce15e355bf7a3b0e0b622dc71f2b-.png /> In the graphs below, the resistance R of a superconductor is shown as a function 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?

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Q. 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 $T _{c}(0) .$ An interesting property of superconductors is that their critical temperature becomes smaller than $T _{c}(0)$ if they are placed in a magnetic field, 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.
image
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 larger than $B_{1}$ which of the following graphs shows the correct variation of $R$ with $T$ in these fields?

JEE AdvancedJEE Advanced 2010

Solution:

Larger the magnetic field smaller the critical temperature.