The velocity v of a particle at time t is given by v = at + b/(t+c), where a, b and c are constants. The dimensions of a, b and c are:
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Question

The velocity v of a particle at time t is given by v = at + b/(t+c), where a, b and c are constants. The dimensions of a, b and c are:

G1 Physics · Accepted Answer

Step 1: Since at has dimensions of velocity, [a]=[LT⁻²]. Step 2: Since t+c is a sum, [c]=[T]. Step 3: For b/(t+c) to be velocity, [b]=[LT⁻¹][T]=[L]. Final: Thus option B.