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11 grade physics others

Dimensional formula M{L^2}{T^{ - 3}} represents(A)Force(B)Power(C)Energy (D)Work

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1 Year agoGrade
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1 Year ago

The dimensional formula M{L^2}{T^{ - 3}} represents power (option B).

In the International System of Units (SI), power is defined as the rate at which work is done or energy is transferred. The SI unit of power is the watt (W), which is equivalent to one joule per second (J/s).

The dimensional formula M{L^2}{T^{ - 3}} can be broken down as follows:

M represents mass, which is measured in kilograms (kg).
L^2 represents length squared, which is measured in square meters (m^2).
T^(-3) represents time to the power of negative three, which is equivalent to 1/T^3. T represents time, which is measured in seconds (s).
Combining these dimensions, M{L^2}{T^{ - 3}} represents mass multiplied by length squared divided by time cubed, which corresponds to the dimensional formula for power.