NEET2024Physics-Dimensional Analysis
NEET 2024 Physics Dimensionless Quantities MCQ Question
Type: MCQ-numerical-Medium-Class 11
A force defined by F = αt² + βt acts on a particle at a given time t. The factor which is dimensionless, if α and β are constants, is:
A
αβt
B
αβ/t
C
βt/α
D
αt/β
Correct Answer
Option D
Detailed Explanation
To find a dimensionless quantity, the dimensions of the numerator and denominator must cancel out. Here, βt/α is dimensionless because the dimensions of βt (force) and α (force/time²) cancel out.
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