Question

Calculate the penetration depth of lead at 5.2 K,if the London Penetration depth at 0 K is 37 mm.Critical temperature of lead is 7.193 K.​

Answer 1

Thus the penetration depth of lead at 5.2 K is λ (T) = 43.4 nm

Explanation:

Given data:

• Temperature T1 = 5.2 K
• Temperature T2 = 0 K
• penetration depth of London = 37 mm
• Critical temperature = 7.193 K

Solution:

λ (T) = λ (0) [ 1 - {T / Tc}^4 ]^1/2

λ (T) =  37  [ 1 -  ( 5.2/ 7.193 )^4 ]^1/2

λ (T) = 43.4 nm

Thus the penetration depth of lead at 5.2 K is λ (T) = 43.4 nm