In physical science, understanding the dimension of a quantity helps to analyze formulas and relationships between variables. Which set of dimensions correctly represents the physical quantity 'force' in terms of mass, length, and time?
mass \(\times\) length \(\times\) time-2
Force is defined as mass times acceleration, and acceleration has dimensions of length per time squared.
Combining these gives the dimensional formula of force as mass \(\times\) length \(\times\) time-2.
The other options incorrectly assign positive or different time and length exponents, not matching the actual dimensional formula of force.
Hence, 'mass \(\times\) length \(\times\) time-2' is the correct answer.
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