Question

What is the correct dimension of Newton?
A) $\left[ {ML{T^{ - 2}}} \right]$
B) $\left[ {ML{T^{ - 1}}} \right]$
C) $\left[ {M{L^2}{T^{ - 2}}} \right]$
D) $\left[ {MLT} \right]$

Answer 1

Hint: We have two systems to write down the units. MKS and CGS.MKS stands for Meter, Kilogram and second. In this system of unit mass is given in Kilogram, length in meter and time in second. CGS system stands for Centimeter- Gram- Second system. In the CGS system, length is measured in centimeters mass is measured in grams and time is in seconds. NEWTON is unit of force and SI unit of force is meter kilogram per second square.

Complete step-by-step answer:
Before we solve it is important to analyze the basic fundamental quantities and their dimensions. They are further classified into various ranges and bring out more dimensions together of different quantities.

Basic quantity	Symbol of dimensions
Length	[L]
Mass	[M]
Time	[T]
Electric current	[I]
Temperature	[$\theta $ ]
Luminous intensity	[J]
Amount of substance	[N]

Newton is the unit of force. It is written as 5 newton of force or 5 N of force . A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects. When the interaction ceases, the two objects no longer experience the force. Forces only exist as a result of an interaction.
The unit is also written as kilogram meter per second square or $\dfrac{{Kgm}}{{{s^2}}}$
In the MKS system MKS stands for Meter, Kilogram and second. In this system of unit mass is given in Kilogram, length in meter and time in second.
Then dimension will be written as $\left[ {ML{T^{ - 2}}} \right]$

So option A is correct.

Additional Information:
Newton’s laws of motion:
This law is the relations between the forces acting on a body and the motion of the body.
First law: If a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Second law: It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it. The momentum of a body is equal to the product of its mass and its velocity.
Third law: It states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction

Note: Some of the quantities are in physics that are dimensionless and some which are derived quantities. Dimensionless quantities like Avogadro’s number, dozen etc. because they are not related to any physical dimension and are obtained by products or ratios of quantities.