[amp_mcq option1=”Pressure and Young’s modules” option2=”Planck’s constant and Angular momentum” option3=”Impulse and moment of force” option4=”Force and rate of change of linear momentum” correct=”option3″]<\/p>\n
The correct answer is C. Impulse and moment of force.<\/p>\n
Impulse is a measure of the change in momentum of an object, while moment of force is a measure of the torque exerted on an object. The dimensions of impulse are $MLT^{-1}$, while the dimensions of moment of force are $ML^2T^{-2}$. Therefore, impulse and moment of force do not have identical dimensions.<\/p>\n
In more detail, impulse is defined as the product of force and time, $J = Ft$. Force is a vector quantity, so it has both magnitude and direction. The magnitude of force is measured in newtons (N), and the direction of force is indicated by a unit vector. Time is a scalar quantity, so it is measured in seconds (s). Therefore, the dimensions of impulse are $MLT^{-1}$.<\/p>\n
Moment of force is defined as the product of force and the perpendicular distance from the line of action of the force to the point of rotation, $M = Fd$. Force is a vector quantity, so it has both magnitude and direction. The magnitude of force is measured in newtons (N), and the direction of force is indicated by a unit vector. The perpendicular distance is a scalar quantity, so it is measured in meters (m). Therefore, the dimensions of moment of force are $ML^2T^{-2}$.<\/p>\n
As you can see, the dimensions of impulse and moment of force are not the same. Therefore, impulse and moment of force do not have identical dimensions.<\/p>\n","protected":false},"excerpt":{"rendered":"
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