Correct Answer  Option 1 : Av
^{2} ρ
CONCEPT:

Measurement of any physical quantity involves comparison with a certain basic, arbitrarily chosen, internationally accepted reference standard called unit, and a Dimension is a mathematical tool used for studying the nature of physical quantities.
 The basic concept of dimensions is that we can add or subtract only those quantities which have the same dimensions.
 And the dimensional formula is defined as the expression of the physical quantity in terms of mass, length, and time.
EXPLANATION:
Given  A = Area, V= Velocity, ρ = Density

Force is a quantity that changes either the state of rest or uniform motion of an object.
 Mathematically, it is written as
⇒ F = ma
 The dimension of force is given by
F = [ M L T^{2}]
 The dimension of the first option is given by
AV^{2}ρ = [L^{2}] × ([LT^{1}])^{2}× [ML^{3}]
⇒ Dimension = [ M L^{4}× L^{3} T^{2}]
⇒ Dimension = [ MLT^{}^{2}]
 The dimension of option 1 is equal to the dimension of force
 Hence, option 1 is the answer