24. The units of length, velocity and force are doubled. Which ofthe f

1.	24. The units of length, velocity and force are doubled. Which ofthe following is the correct change in the other units?(a) Unit of time is doubled(b) Unit of mass is doubled(c) Unit of momentum is doubled(d) Unit of energy is doubled
Answer» Given the fundamentalunits of length,velocity and force are doubled.⇒Length Dimensions are =L ⇒V=Displacement /TimeVelocity Dimensions= LT^⁻¹In order to make velocity double , already length is doubled.So no change in Time. ⇒Force=maForce dimensions=MLT^⁻²already length is doubled to make force double .So no change will be there in mass . It will be constant. ⇒But momentum will changeAs Momentum=mxVMomentum units =MLT^⁻¹so here mass and time are constant. So L is doubled. Momentum will doubleEnergy will become four timesEnergy dimensions=ML^²T^⁻²As length doubles, energy becomes 4 times. So correct option is 3 :MOMENTUM WILL DOUBLE

24. The units of length, velocity and force are doubled. Which ofthe following is the correct change in the other units?(a) Unit of time is doubled(b) Unit of mass is doubled(c) Unit of momentum is doubled(d) Unit of energy is doubled

Answer»

Given the fundamentalunits of length,velocity and force are doubled.⇒Length Dimensions are =L

⇒V=Displacement /TimeVelocity Dimensions= LT^⁻¹In order to make velocity double , already length is doubled.So no change in Time.

⇒Force=maForce dimensions=MLT^⁻²already length is doubled to make force double .So no change will be there in mass . It will be constant.

⇒But momentum will changeAs Momentum=mxVMomentum units =MLT^⁻¹so here mass and time are constant. So L is doubled. Momentum will doubleEnergy will become four timesEnergy dimensions=ML^²T^⁻²As length doubles, energy becomes 4 times.

So correct option is 3 :MOMENTUM WILL DOUBLE

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