State the principle of homogeneity of dimensions.
(N/A) The principle of homogeneity of dimensions states that a physical equation is dimensionally correct only if the dimensions of all the terms on both sides of the equation are the same.
In other words,we can only add,subtract,or equate physical quantities that have the same dimensions.
For example,in the equation $v = u + at$,the dimensions of $v$,$u$,and $at$ must all be equal to $[LT^{-1}]$.
In other words,we can only add,subtract,or equate physical quantities that have the same dimensions.
For example,in the equation $v = u + at$,the dimensions of $v$,$u$,and $at$ must all be equal to $[LT^{-1}]$.
Explore More
Similar Questions
In an experiment,four quantities $a, b, c,$ and $d$ are measured with percentage errors of $1\%, 2\%, 3\%,$ and $4\%$ respectively. The quantity $P$ is calculated as $P = \frac{a^3 b^2}{cd}$. The percentage error in $P$ is ........ $\%$
The force $F$ is given by the equation $F = at + bt^2$,where $t$ is time. What are the dimensions of $a$ and $b$?
Medium
View SolutionThe Martians use force $(F)$,acceleration $(A)$,and time $(T)$ as their fundamental physical quantities. The dimensions of length in the Martian system are:
Medium
View SolutionIf $x = a/t + b/t^2 + c$,where $x$ is the distance travelled by the body in metres and $t$ is the time in seconds,then the units of $b$ are:
Easy
View SolutionIf the speed of light $(c)$,acceleration due to gravity $(g)$,and pressure $(p)$ are taken as the fundamental quantities,then the dimension of the gravitational constant $(G)$ is:
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo