The dimension of magnetic flux is
- $ [MLT^{-1}A^{-1}]$
- $ [ML^{-1}TA^{-2}]$
- $ [ML^{-2}T^{2}A^{-2}]$
- $ [ML^{2}T^{-2}A^{-1}]$
The Correct Option is D
Solution and Explanation
$=\frac{[\text { Force }][\text { Area }]}{[\text { Current }][\text { Length }]}=\frac{\left[M L T^{-2}\right]\left[L^{2}\right]}{[A][L]}$
$|\phi|=\left[M L^{2} T^{-2} A^{-1}\right]$
Top Questions on Dimensional Analysis
- What is the dimensional formula of \( ab^{-1} \) in the equation \[ \left( P + \frac{a}{V^2} \right) (V - b) = RT, \] where letters have their usual meaning.
- JEE Main - 2024
- Physics
- Dimensional Analysis
- If \( \epsilon_0 \) is the permittivity of free space and \( E \) is the electric field, then \( \epsilon_0 E^2 \) has the dimensions:
- JEE Main - 2024
- Physics
- Dimensional Analysis
- The dimensional formula of latent heat is:
- JEE Main - 2024
- Physics
- Dimensional Analysis
- If G be the gravitational constant and u be thee nergy density then which of the following quantity have the dimension as that the \(\sqrt{UG}\)
- JEE Main - 2024
- Physics
- Dimensional Analysis
- The dimensional formula of angular impulse is :
- JEE Main - 2024
- Physics
- Dimensional Analysis
Questions Asked in JKCET exam
- A moving block having mass $m$, collides with another stationary block having mass $4\,m$. The lighter block comes to rest after collision. When the initial velocity of the lighter block is $v$, then the value of coefficient of restitution (e) will be
- JKCET - 2019
- work, energy and power
- A force $ F = 3x^2 + 2x + 1 $ acts on a body in the $ x $ -direction. The work done by this force during a displacement from $ x = -1 $ to $ +1 $ is
- JKCET - 2019
- work, energy and power
- What is the colour of the flame on heating potassium in the flame of a Bunsen burner?
- JKCET - 2019
- GROUP 1 ELEMENTS
- If $ a $ , $ b $ , $ c $ are the lengths of three edges of unit cell, $ \alpha $ is the angle between side $ b $ and $ c $ , $ \beta $ is the angle between side $ a $ and $ c $ and $ \gamma $ is the angle between side $ a $ and $ b $ , what is the Bravais Lattice dimensions of a tetragonal crystal?
- JKCET - 2019
- The solid state
- Which of the following compounds is known as copper glance?
- JKCET - 2019
- General Principles and Processes of Isolation of Elements
Concepts Used:
Dimensional Analysis
Dimensional Analysis is a process which helps verify any formula by the using the principle of homogeneity. Basically dimensions of each term of a dimensional equation on both sides should be the same.
Limitation of Dimensional Analysis: Dimensional analysis does not check for the correctness of value of constants in an equation.
Using Dimensional Analysis to check the correctness of the equation
Let us understand this with an example:
Suppose we don’t know the correct formula relation between speed, distance and time,
We don’t know whether
(i) Speed = Distance/Time is correct or
(ii) Speed =Time/Distance.
Now, we can use dimensional analysis to check whether this equation is correct or not.
By reducing both sides of the equation in its fundamental units form, we get
(i) [L][T]-¹ = [L] / [T] (Right)
(ii) [L][T]-¹ = [T] / [L] (Wrong)
From the above example it is evident that the dimensional formula establishes the correctness of an equation.