28. If the unit of mass, length and time be each doubled, then how the unit
of power will change.
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Explanation:
The power will be doubled.
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dimensionally, power is M∗L2∗T(−3) . Thus the new unit of power would be (2)∗(22)/(23)=1 , i.e the same.
Power is the rate of variation of energy supplied to a system. In case of a force acting on a body at a constant velocity it is given by P=F∗v where F is the magnitude of the force and v is the velocity of the body. Thus dimension of P = dimension of F * dimension of v =(M1∗L1/T2)∗(L/T)=M∗L2∗T(−3)
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