JEE Main202127 Jul 2021Evening ShiftPhysicsUnits and DimensionsActual
Match List I with List II. List-I List-II a Capacitance, C i M 1 L 1 T - 3 A - 1 b Permittivity of free space, ε 0 ii M - 1 L - 3 T 4 A 2 c Permeability of free space, μ 0 iii M - 1 L - 2 T 4 A 2 d Electric field, E iv M 1 L 1 T - 2 A - 2 Choose the correct answer from the options given below
Options
- A  ( a )  →   ( iii ), ( b )  → ( ii ) , ( c ) → ( iv ) , ( d ) → &
- B  ( a )  →   ( iii ), ( b )  →   ( iv ), ( c )  →   ( ii
- C  ( a )  →   ( iv ), ( b )  →   ( ii ), ( c )  →   ( iii
- D  ( a )  →   ( iv ), ( b )  →   ( iii ), ( c )  →   ( ii
Correct answer
A.   ( a )  →   ( iii ), ( b )  → ( ii ) , ( c ) → ( iv ) , ( d ) → &
Step-by-step solution
q = CV [ C ] = q V = ( A × T ) 2 ML 2   T - 2 = M - 1   L - 2   T 4   A 2 [ E ] = F q = MLT - 2 AT = MLT - 3   A - 1 F = q 1 q 2 4 π ∈ 0 r 2 ϵ o = M - 1   L - 3   T 4   A 2 Speed of light c = 1 μ 0 ∈ o μ 0 = 1 ϵ 0 c 2 μ 0 = 1 M - 1   L - 3   T 4   A 2 LT - 1 2 = M 1   L 1   T - 2   A - 2