Question

If the values of force and length are increased four times then the unit of energy will increases by?

• A. $4$ times
• B. $2$ times
• C. $8$ times
• D. $16$ times

Answer 1

Answer: (D)

$16$ times

Force is represented as $\left[ML{T}^{-2}\right]andlength\left[L\right]$

$energyf\times dis\left[ML{T}^{-2}\right]\times \left[L\right]=\left[M{L}^2{T}^{-2}\right]$

if Force and length are quadrupled in value Energy

$4\left[ML{T}^{-2}\right]\times 4\left[L\right]=16\left[M{L}^2{T}^{-2}\right]$

unit increased by 16 times