Let us check the dimensional correctness of the relation ` v = u + at`.
Text Solution
AI Generated Solution
To check the dimensional correctness of the relation \( v = u + at \), we need to analyze the dimensions of each term in the equation.
1. **Identify the physical quantities and their dimensions:**
- \( v \) (final velocity) has the dimension of velocity.
- \( u \) (initial velocity) has the dimension of velocity.
- \( a \) (acceleration) has the dimension of acceleration.
- \( t \) (time) has the dimension of time.
...
|
Topper's Solved these Questions
DIMENSIONS & MEASUREMENT
CENGAGE PHYSICS|Exercise Exercise 1.1|16 Videos
DIMENSIONS & MEASUREMENT
CENGAGE PHYSICS|Exercise Exercise 1.2|6 Videos
CENTRE OF MASS
CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos
FLUID MECHANICS
CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 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 .
