Practice Questions on Dimensional Formula

Q1. Using Dimensional Formula, X= MaLbTc, find the values of a, b, and c for Energy.

Q2. Using Dimensional Formula, X= MaLbTc, find the values of a, b, and c for Acceleration.

Q3. Determine the Dimensional Formula of Power.

Q4. Determine the Dimensional Formula of Time period of wave.

Dimensional Formula

Dimensional Formulas play an important role in converting units from one system to another and find numerous practical applications in real-life situations. Dimensional Formulas are a fundamental component of the field of units and measurements. In mathematics, Dimension refers to the measurement of an object’s size, extent, or distance in a specific direction, such as length, width, or height, but in the context of physical quantities, the dimension signifies the exponent to which fundamental units must be raised to yield a single unit of that specific quantity.

In this article, we will discuss the introduction, definition, properties, and limitations of a Dimensional Formula and its meaning. We will also understand dimensional formulas for different physical quantities and Dimensional equations. We will also solve various examples and provide practice questions for a better understanding of the concept of this article. We have to study Dimensional Formula in Class 11.

Table of Content

  • What is Dimensional Formula?
  • Dimensional Formula for Various Quantities
  • Application of Dimensional Formula
  • Limitations of Dimensional Formula
  • Dimensional Formula and Dimensional Equations

Similar Reads

What is Dimensional Formula?

The Dimensional Formula of any quantity serves as an expression that shows the powers by which fundamental units must be raised to yield a single unit of that derived quantity. These dimensional formulas play an important role in establishing relationships between variables in nearly every dimensional equation....

Dimensional Formula for Various Quantities

The table below provides Dimensional Formulas for different physical quantities:...

Application of Dimensional Formula

Some of the common applications of dimensional formula are:...

Limitations of Dimensional Formula

While Dimensional Formulas offer numerous benefits, they also come with certain limitations:...

Dimensional Formula and Dimensional Equations

The equations resulting from equating a physical quantity to its dimensional formula are termed Dimensional Equations. These equations are an important tool for representing physical quantities in terms of fundamental units. Dimensional formulas for specific quantities used as a foundation for establishing relationships between those quantities within any given dimensional equation....

Solved Examples on Dimensional Formula

Example 1: Using Dimensional Formula, X= MaLbTc, find the values of a, b, and c for density....

Practice Questions on Dimensional Formula

Q1. Using Dimensional Formula, X= MaLbTc, find the values of a, b, and c for Energy....

Dimensional Formula – FAQs

1. What Is Meant By Dimensional Formula?...

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