Question

शक्ति की परिभाषा, मात्रक एवं विमीय सूत्र लिखिये एवं सिद्ध कीजिए कि
शक्ति = बल X वेग
P = F.V​

Answer 1

ginger

Explanation:

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Answer 2

Answer:

Power is defined as the rate of doing work.

The work is done per unit time.

Power (P) ∝ Work (W)

Power (P) ∝ 1 / Time (t)

So, P = W / t

W = Force (F) × Distance (d)

So, P = (F × d) / t

Velocity (V) = Distance (d) / time (t)

So, P = F.V

SI unit of power is watt (W)

P = (F × d) / t

$dim[P] = \frac{dim[F] * dim[d]}{dim[t]} \\\\dim[P] = \frac{[MLT^{-2} ]*[L]}{[T]}\\\\dim[P] = [ML^{2}T^{-3}]$

So, the dimension of power is [ML²T⁻³]