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JEE ADVANCE 2010
paper 1
Question
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 $\mathrm{T}_{\mathrm{C}}(0)$. An interesting property of superconductors is that their critical temperature becomes smaller than $\mathrm{T}_{\mathrm{c}}(0)$ if they are placed in a magnetic field, i.e., the critical temperature $\mathrm{T}_{\mathrm{c}}$ (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 $\mathrm{T}_{\mathrm{C}}(0)=100 \mathrm{~K}$. When a magnetic field of 7.5 Tesla is applied, its $\mathrm{T}_{\mathrm{c}}$ decreases to 75 K . For this material one can definitely say that when
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Select the correct option:
A
B = 5 Tesla, Tc (B) = 80 K
B
B = 5 Tesla, 75 K < Tc (B) < 100 K
C
B = 10 Tesla, 75K < Tc < 100 K
D
B = 10 Tesla, Tc = 70K
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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