Question

what is the dimension of power???

Answer 1

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$Power = \frac{Work}{Time}$

The Unit of Power is J/sec (or) Watt W

Dimensional Formula:
$\frac{[ML^{2}T^{-2}]}{[T]} = [ML^{2}T^{-3}]$

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Keep it Mello

Answer 2

HERE IS YOUR ANSWER :- What is Power-

Power is the rate of doing work. It is the amount of energy consumed per unit time. Having no direction, it is a scalar quantity.

In the SI system, the unit of Power is the joule per second (J/s), known as the watt in honour of James Watt,

Let GO Step By Step -

Power = Work / Time

Work = Force * Distance

Force = Mass * Acceleration

Acceleration = Change in velocity /Time

Velocity Dimension Formula = M^0 L^1 T^-1

Time Dimension Formula = T

so

Acceleration = M^0 L^1 T^-1 / T = M^0 L^ 1 T^-2

Force = M* M^0 L^ 1 T^-2 = M^1 L^1 T^-2

Work = M^1 L^1 T^-2 * L = M^1 L^2 T^ -2

Now Power = M^1 L^2 T^-2 / T

= M^ 1 L^ 2 T ^ -3

NOTE-

The dimensional formula of a physical quantity can be obtained by defining its relation with other physical quantities and then expressing these quantities in terms of mass [M], length [L] and time [T].

Dimension Formula of Distance is L

Dimension Formula of Time is T

MARK AS BRAINLIEST

THANX