Question

Column-I	Column-II	Column-III	Column-IV
Physical quantity	MKS System	CGS system	FPS system
(A) length	(a) newton	(p) erg	(1) poundal
(B) mass	(b) m	(q) dyne	(2) ft-poundal
(C) force	(c) kg	(r) erg/s	(3) ft
(D) power	(d) joule	(s) g	(4) lb
(E) work	(e) watt	(t) cm	(5) ft-poundal/s

A. (A)-b-t-3
      (B)-c-s-4
      (C)-a-q-1
      (D)-e-r-5
      (E)-d-p-2

B. (A)-c-s-3
      (B)-b-s-4
      (C)-a-t-1
      (D)-e-r-5
      (E)-d-p-2

C. (A)-d-p-3
      (B)-e-r-4
      (C)-a-q-1
      (D)-c-s-5
      (E)-b-t-2

 D. None of these

Answer 1

Hint:The measurement of quantities is expressed in terms of units. Different unit systems have different units as the base of measurement. In each system, some of the units serve as the fundamental ones from which the other derived units can be formed. Also, some of these systems of units sometimes act as base systems for other unit systems.

Complete answer:
The arrangement of units of measurement and that particular way that follow a particular set of orders are followed for expressing the units of a value. There are several systems being followed for expressing the units. MKS system is one among them. One of the advantages of this system is that most of the units are expressed in the derived units, for example joule. Centimeter- gram-second system (CGS) system is derived from the metric system. The Foot-pound second system, is another system used mainly for technical publications.

Length is the variable that can be measured in meters in MKS system, Centimeter in CGS system and foot in FPS system. Mass is expressed in kilograms in MKS, as grams in CGS and as lb in the FPS system. Force is expressed as Newton in MKS, as dyne in CGS system and as pound in FPS system. MKS expresses power as in watt, while CGS and FPS represents power in erg per second and feet-pound/second respectively. Work is expressed as joule, erg and feet-pound in MKS, CGS and FPS systems respectively.

Therefore the option A gives the correct match.

Note: SI units system is the international system being widely used all over the world. It contains seven base units. Derived units can be expressed based on these seven base units. The three main basic quantities in most of the system are mass, length, and time. Derived quantities can be expressed in terms of the basic quantities.