KVPY2017PhysicsUnits and Dimensions
Using dimensional analysis the resistivity in terms of fundamental constants h , m _ e , c , e , ₀ can be expressed as
Options
- Ah ₀ ~m _ e ce ²
- B₀ ~m _ e ce ² ~h
- Ch ² ~m _ e ce ²
- Dm _ e ₀ ce ²
Correct answer
C. h ² ~m _ e ce ²
Step-by-step solution
= E J E= [M L T⁻³ I⁻¹ ] J = [ I L ⁻² ] h = M L ² ~T ⁻¹ ~m _ e = M c = LT ⁻¹ ₀= M ⁻¹ ~L ⁻³ ~T ⁴ I ² = h ² ~m _ e ce ²