Question

A force F is given by F=at+bt², where t is time. The dimensions of a and b are
a) [MLT^-3] and [MLT^-4]
b) [MLT^-4] and [MLT^-3]
c) [MLT^-1] and [MLT^-2]
d) [MLT^-2] and [MLT^0]​

Answer 1

Answer:

a) [MLT^-3] and [MLT^-4]

Explanation:

The dimension of F is [MLT^-2] and dimension of t is [T].

[MLT^-3][T] and [MLT^-4][T^2 ] = [MLT^-2]

Answer 2

Answer:

a) (MLT^-3) and (MLT-4)