Home
Class 11
PHYSICS
g is dimensional constant where as pi is...

g is dimensional constant where as `pi` is the dimensionless constant. Why?

Text Solution

AI Generated Solution

To understand why \( g \) is a dimensional constant while \( \pi \) is a dimensionless constant, let's break down the definitions and properties of each. ### Step 1: Understanding \( g \) - \( g \) represents the acceleration due to gravity. It is defined as the acceleration experienced by an object in free fall near the Earth's surface. - The standard value of \( g \) is approximately \( 9.81 \, \text{m/s}^2 \). ### Step 2: Determining the Dimensions of \( g \) - Acceleration is defined as the change in velocity over time. The dimensions of velocity are \( \text{L/T} \) (length per time), and when we take the change in velocity over time, we get: ...
Promotional Banner

Topper's Solved these Questions

  • DIMENSIONS

    ICSE|Exercise VERY SHORT ANSWER QUESTIONS|5 Videos
  • DIMENSIONS

    ICSE|Exercise SELECTED PROBLEMS (FROM CHECKING THE CORRECTNESS OF AN EQUATION)|13 Videos
  • DIMENSIONS

    ICSE|Exercise LONG ANSWER QUESTIONS|3 Videos
  • COMPETITION CARE UNIT

    ICSE|Exercise OBJECTIVE QUESTIONS FROM PREVIOUS IAS EXAMINATIONS |50 Videos
  • DYNAMICS

    ICSE|Exercise SHORT ANSWER QUESTIONS WITH ANSWERS|12 Videos

Similar Questions

Explore conceptually related problems

What is the difference between a dimensional constant and a dimensionless constant?

What are (i) dimensional constant, (ii) dimensionless constants, (iii) dimensional variables and (iv) dimensionless variables.

Which of the following is a dimensional constant ?

Assertion : The dimensional formula for product of resistance and conductance is same as for dielectric constant. Reason : both have dimensions of time constant.

The potential energy of a particle varies with distance x from a fixed origin as U = (A sqrt(x))/( x^(2) + B) , where A and B are dimensional constants , then find the dimensional formula for AB .

The potential energy of a particle varies with distance x from a fixed origin as U = (A sqrt(x))/( x^(2) + B) , where A and B are dimensional constants , then find the dimensional formula for AB .

STATEMENT-1: Dimensional constants are the quantities whose values are constant STATEMENT-2: Dimensional constants are dimensionless STATEMENT-3 Universal gravitational constant (G) is a dimensional constant

STATEMENT-1 Dimensional constants are the quantities whose values are constant STATEMENT 2 Quantities which are dimensionless are known as dimensional constants

Which one of the following is a dimensional constant?

The Energy (E) angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is