Home
Class 11
PHYSICS
Let us check the dimensional correctness...

Let us check the dimensional correctness of the relation ` v = u + at`.

Text Solution

Verified by Experts

Dimensional formula of `'u'` is `[M^(0) LT^(-1)]`
Dimensional formula of `'v'`is `[M^(0) LT^(-1)]`
Dimensional formula of `'at'` is `[M^(0)LT^(-2) ] [T] =[M^(0)LT^(-1)]` ,
Here dimensions of every term in the given physical relation are the same, hence the given physical relation is dimensionally correct.
Promotional Banner

Topper's Solved these Questions

  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise Solved Example|17 Videos

  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise PRACTICE EXERCISE|4 Videos

  • KINETIC THEORY OF GASES

    BANSAL|Exercise Section-B|13 Videos

Similar Questions

Explore conceptually related problems

Check the dimensional correctness of the following relation. Volume of a sphere = 4/3pi"(radius)"^2

Test the dimensional consistency of the following equations: v= u + at

Check the dimensional consistency of the relations : (i) S= ut+(1)/(2)at^(2) (ii) (1)/(2)mv^(2)= mgh .

How can we check the dimensional correctness of a physical equation? Explain it with a suitable example.

The rate of flow (V) of a liquid flowing through a pipe of radius r and pressure gradient (P//I) is given by Poiseuille's equation V = (pi)/(8)(Pr^4)/(etaI) Chack the dimensional correctness of this relation.

Check the dimensional consistency of the relation upsilon = (1)/(I) sqrt((P)/(rho)) where I is length, upsilon is velocity, P is pressure and rho is density,

An object acceleraties uniformly from initial velocity u to final velocity v. if travels distance s in time t. Then check the dimensional consistency of the following equations. Which of them are correct physically? (i) v_(av)=(u+v)/3 (ii) s=ut+1/2at^(2) (iii) v^(2)-u^(2)=(2s)/a

Test the dimensional consistency of the following equations : (i)v=u+at" "(ii) v^(2)=u^(2)+2as" "(iii)E=mc^(2)" "(iv)(1)/(2)mv^(2)=mgh

Test the dimensional consistency of the following equations: v^2 - u^2 - 2as .

Check the correctness of the relation s_(t) = u+ (a)/(2) (2t-1) where u is initial velocity a is acceleration and s_(t) is the diplacement of the body in t^(th) second .