
Dimensions of , where symbols have their usual meaning, are:
A.
B.
C.
D.
Answer
490.2k+ views
Hint:We are supposed to find the dimensional formula of . For that, we have to identify what and denotes. Further, we can deduce the value from the dimensional formula of these individual elements by finding the degree of dependence of a physical quantity on another. The principle of consistency of two expressions can be used to find the equation relating these two quantities.
We know that is the permeability and is the permittivity of the free space.
Formulas used:
Velocity of light in vacuum , where is the permeability and is the permittivity of the free space.
Dimensional formula for velocity = , where denotes the length or distance and denotes the time. Here, the time is taken in reverse. This implies the basic formula of velocity, i.e. .
Complete step by step answer:
We know that the Velocity of light in vacuum .
i.e. .
Upon squaring, we get
Therefore, the dimensions of =
Hence, option C is the right choice.
Note:Though this method is widely used, there are few drawbacks for this method. Dimensionless quantities cannot be determined by this method. Constant proportionality cannot be determined by this method. It is not applicable to trigonometric, logarithmic and exponential functions physical quantities which are dependent upon more than three physical quantities, this method will be difficult.
We know that
Formulas used:
Velocity of light in vacuum
Dimensional formula for velocity =
Complete step by step answer:
We know that the Velocity of light in vacuum
i.e.
Upon squaring, we get
Therefore, the dimensions of
Hence, option C is the right choice.
Note:Though this method is widely used, there are few drawbacks for this method. Dimensionless quantities cannot be determined by this method. Constant proportionality cannot be determined by this method. It is not applicable to trigonometric, logarithmic and exponential functions physical quantities which are dependent upon more than three physical quantities, this method will be difficult.
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
State and prove Bernoullis theorem class 11 physics CBSE

What are Quantum numbers Explain the quantum number class 11 chemistry CBSE

Write the differences between monocot plants and dicot class 11 biology CBSE

Who built the Grand Trunk Road AChandragupta Maurya class 11 social science CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

State the laws of reflection of light
