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JEE Advanced 2010Paper 1
Exam
JEE Advanced
Year
2010
Paper
Paper 1
Subject
Physics
Chapter
Current Electricity

JEE Advanced 2010 · Paper 1 · Physics · Current Electricity

Paragraph: Electrical resistance of certain materials, known as...

Paragraph: 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 TC(0)T_C(0). An interesting property of superconductors is that their critical temperature becomes smaller than TC(0)T_C(0) if they are placed in a magnetic field i.e., the critical temperature TC(B)T_C(B) is a function of the magnetic field strength BB. The dependence of TC(B)T_C(B) on BB is shown in the figure.Paragraph: Electrical resistance of certain materials, known as superconductors, changes abruptly from a non-zero value
Question: A superconductor has TC(0)=100 KT_C(0)=100 \mathrm{~K}. When a magnetic field of 7.57.5 Tesla is applied, its TCT_C decreases to 75 K75 \mathrm{~K}. For this material one can definitely say that when (Note : T\mathrm{T} = Tesla)

Options

  1. AB=5 T,TC(B)=80 KB=5 \mathrm{~T}, T_C(B)=80 \mathrm{~K}
  2. BB=5 T,75 K<TC(B)<100 KB=5 \mathrm{~T}, 75 \mathrm{~K} < T_C(B) < 100 \mathrm{~K}
  3. CB=10 T,75 K<TC(B)<100 KB=10 \mathrm{~T}, 75 \mathrm{~K} < T_C(B) < 100 \mathrm{~K}
  4. DB=10 T,TC(B)=70 KB=10 \mathrm{~T}, T_C(B)=70 \mathrm{~K}

Correct answer

B. B=5 T,75 K<TC(B)<100 KB=5 \mathrm{~T}, 75 \mathrm{~K} < T_C(B) < 100 \mathrm{~K}

Step-by-step solution

With increase in temperature, TCT_C is decreasing. TC(0)=100 KTC=75 K at B=7.5 T\begin{aligned}T_C(0) & =100 \mathrm{~K}\\ T_C & =75 \mathrm{~K} \text{ at }B=7.5 \mathrm{~T} \end{aligned}Hence, at B=5 T,TCB=5 \mathrm{~T}, \quad T_C should lie between 75 K75 \mathrm{~K} and 100 K100 \mathrm{~K}. Hence, the correct option should be (b).
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