The second equation of motion of a uniformly accelerated ball along a straight line is stated asS=vit+ ½ at2The dimension of each term of this equation is
Correct answer: A. [L]
- A. [L]
- B. [T]
- C. [L-1]
- D. [T-1]
Explanation
The second equation of motion is given by S = vit + ½ at2, where S is the displacement, vi is the initial velocity, a is the acceleration, and t is the time. The dimension of displacement (S) is length [L]. Both terms vit and ½ at2 in the equation must also have the dimension of length to ensure dimensional consistency. Therefore, the correct dimension for S is [L]. The other options are incorrect because they do not correspond to the dimension of displacement.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? support@testustad.com
About Dimensional Analysis
Dimensional analysis expresses physical quantities through fundamental dimensions such as mass, length and time. It checks dimensional consistency, helps derive relations and converts between unit systems, but cannot determine numerical constants or distinguish quantities with identical dimensions. Dimensional formulae must not be confused with complete physical units.
Practise Measurements
262 free Measurements MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 11 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Dimensional Analysis questions
Which of the following shows the dimensions of force and acceleration respectively?
The second equation of motion of a uniformly accelerated ball along a straight line is stated ass = vft +1/2 at2The dimension of this equation is
The dimensions of momentum are represented as
The principle of homogeneity of dimensions determines:
The dimensions of pressure is:
The time period 'T' of a simple pendulum depends on its length 'l' and acceleration due to gravity 'g' using unit dimensions. The correct equation for the time period is: