Correct Answer  Option 4 : kg m
2
The correct answer is option 4) i.e. kg m2
CONCEPT:
 The SI base units are the standard units of measurement.

The seven base units used in the SI system are meter (m), kilogram (kg), second (s), kelvin (K), ampere (A), mole (mol), and candela (cd).
 The seven base units along with their dimensions are as follows:
Fundamental quantity 
Dimension 
Time 
T 
Mass 
M 
Electric current

A 
Thermodynamic temperature 
K 
Amount of substance 
mol 
Luminous intensity 
cd 
Length 
L

EXPLANATION:
 The capacitance C is related to the charge Q and voltage V across them as: \(C =\frac{Q}{V}\)
 Dimensions of charge, Q = current × time = [A] × [T] = [A1T1]
 Dimensions of voltage, V = work done per unit charge = (force × displacement)(charge)^{1} = [M^{1}L^{1}T^{2}][L^{1}] × [A^{1}T^{1}]^{1} = [M1L2A^{}^{1}T3]
 Dimensions of capacitance, \( C =\frac{[A^1T^1]}{[M^1L^2A^{1}T^{3}]} = [M^{1}A^2L^{2}T^4]\)
 A charged particle (q) moving with a speed (v) relative to a magnetic field experiences a magnetic force due to the magnetic field (B). The magnitude of this force (F) is given by
F = qvB
 Magnetic field intensity, \(B =\frac{F}{qv}\)
 Dimensions of force, F = [M^{1}L^{1}T^{2}]
 Dimensions of charge, q = [A1T1]
 Dimensions of velocity, v = [L^{1}T^{1}]
 Dimensions of \(B =\frac{[M^1L^1T^{2}]}{[A^1T^{1}][L^1T^{1}]} = [M^1T^{2}A^{1}]\)
⇒ Dimension of x = CB^{2} = [M^{1}A^{2}L^{2}T^{4}] [M^{1}T^{2}A^{1}]^{2} = [M^{1}L^{2}]
⇒ SI base unit for [M] and [L] is kg and m respectively.
⇒ [M1L2] = kg m2