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.
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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.
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