Answer to Question #251015 in Physics for Sony

Question

The transition temperature of a BCS superconductor with an average atomic mass of 199.5 is 4.18K. What is the transition
temperature for an average atomic mass of 203.4?
a.4.185
b.4.145
c.4.226
d.4.105

Answer 1

The temperature is inversely proportional to the square root of the atomic mass:

$$T_1=\frac k{\sqrt{m_{a1}}},\\\space\\ T_2=\frac k{\sqrt{m_{a2}}},\\\space\\ \frac{T_1}{T_2}=\sqrt{\frac{m_{a2}}{m_{a1}}},\\\space\\ T_2=T_1\sqrt{\frac{m_{a1}}{m_{a2}}}=4.14\text{ K}.$$