Question

For 10(at+3), the dimensions of a is
(Here, 1 = Time)​

Answer 1

in physics we can add only similar quantities together

so the dimensions of at must be equal to the dimension of 3

but 3 is dimensionless that means at is also dimensionless

implies

at = 1

=> t = 1/a

=> a = 1/t

dimensions of time is L^0 M^0 T^1

dimensions of 1/time = L^0 M^0 T^(-1) = dimensions of a