Discussion

Group-I indicates different properties of fluid and Group-II defines their basic dimensions in terms of Force (F), Length (L), and Time (T).

Which one of the following options identifies the correct match between Group-I and Group-II?

Answer: D

The match is P-2, Q-3, R-1.

In the FLT system, mass has dimensions \(FL^{-1}T^{2}\) (from \(F = ma\)).

Dynamic viscosity is shear stress divided by velocity gradient: \(FL^{-2} / T^{-1} = FL^{-2}T\), item 2.
Surface tension is force per unit length: \(FL^{-1}\), item 3.
Density is mass per unit volume: \(FL^{-1}T^{2}/L^{3} = FL^{-4}T^{2}\), item 1.

The other options misplace at least one of these; for instance P-1 gives viscosity the dimensions of density.

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