superconductor has a critical temperature of 3.74K at zero magnetic field. At 0K, the critical magnetic field is 0.0306 Tesla. What is the critical magnetic field at the temperature of 2K?*1 point0.0236 Tesla0.0320 Tesla0.0180 Tesla0.0216 Tesla

To solve this problem, we can use the formula for the critical magnetic field of a superconductor, which is given by:

H(T) = H(0)[1 - (T/Tc)^2]

where: H(T) is the critical magnetic field at temperature T, H(0) is the critical magnetic field at 0K, T is the temperature at which we want to find the critical magnetic field, Tc is the critical temperature of the superconductor.

Given in the problem, we have: H(0) = 0.0306 Tesla, Tc = 3.74K, T = 2K.

Substituting these values into the formula, we get:

H(2K) = 0.0306 Tesla [1 - (2K/3.74K)^2]

Calculating the value inside the brackets first:

(2K/3.74K)^2 = (0.534759358)^2 = 0.285714286

Subtracting this from 1 gives: 1 - 0.285714286 = 0.714285714

Multiplying this by H(0) gives:

H(2K) = 0.0306 Tesla * 0.714285714 = 0.0218571428 Tesla

Rounding this to four decimal places, we get H(2K) = 0.0219 Tesla. However, this option is not available in the choices. The closest option to this value is 0.0216 Tesla. Therefore, 0.0216 Tesla is the critical magnetic field at the temperature of 2K.