Question

given as a relation of force f with time as equal a + b t what are the dimensions of a and b ​

Answer 1

Answer:

 [MLT−3] and [MLT−4]

Explanation:

Given that F=at+bt2 where t is time.

For this equation to be dimensionally correct, the each term in the right hand side should have the dimensions of F

Dimensional formula of F=[MLT−2]

⟹aT=[MLT−2]

⟹ Dimension of a is [MLT−3]

and

⟹bT2=[MLT−2]

⟹ Dimension of b is [MLT−4]

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