The unit of length velocity and force are doubled

Asked by admin @ 13/08/2021 in Physics viewed by 359 People

The unit of length,velocity and force are doubled.Which of the following is the correct change in the other units?1.unit of time is doubled2.unit of mass is doubled3.unit of momentum is doubled4.unit of energy is doubled

Answered by admin @ 13/08/2021

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

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

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

⇒But momentum will change
As Momentum=mxV
Momentum units =MLT⁻¹
so here mass and time are constant. So L is doubled. Momentum will double
Energy will become four times
Energy dimensions=ML²T⁻²
As length doubles, energy becomes 4 times.

So correct option is 3 :MOMENTUM WILL DOUBLE

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