Question

if power p length l and time t are taken as fundamental quantities then the dimensions of force are​

Answer 1

Explanation:

In order to solve the question, let us first find the relationship between power, length and time and also force.

Now energy is defined as ;

Energy = Power x time

Energy or work done can also be written as

Energy = Force x length

Now we equate both the equations that are of energy

Force x length = Power x time

Putting the fundamental values

F x l = P x t

F = P x t / l

Answer 2

The dimensions of force are [PL⁻¹T]

Explanation:

We know that

Power = Force × Velocity

And Velocity = Length / Time

Thus,

Power = Force × Length / Time

or P = Force × L / T

or, Force = PT/L

or Force = PTL⁻¹

Thus, the dimensions of force are

[PL⁻¹T]

Hope this answer is helpful.

Know More:

Q: If momentum (P ), area (A) and time (T ) are taken to be fundamental quantities, then energy has the dimensional formula:

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