Question Detail

PHY 101 Physical Quantities And Units Objective Question

Question

For 10(at+3) = 1, where t is time, the dimension of a is:
Options
A MLT
B MLT⁻²
Correct Answer
C ML⁻¹T⁻¹
D None of these
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.

Question Info