Question Detail
Question
For 10(at+3) = 1, where t is time, the dimension of a is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
The equation is 10(at+3)=1. Since 10 and 1 are dimensionless, (at+3) must be dimensionless. So at is dimensionless. t has dimension T, so a has dimension T⁻¹. But none of the options have T⁻¹. Option B is MLT⁻², which is force. Possibly misprint. Given answer B, we'll note.
Hint
The term inside must be dimensionless.