Question

If the units of length and force are increased four times, then the unit of energy will –

• A. Increase 8 times
• B. Increase 16 times
• C. Decreases 16 times
• D. Increase 4 times

Answer 1

Answer: (B)

Increase 16 times

Answer 2

Dimensionally,

$\text{E } = \text{ M}\text{L}^{2}T^{2}$

$\text{E } = \ (\text{ML}\text{T}^{\text{-2}})\ (L)$

$\text{ } = \ (4)\ (\text{ML}\text{T}^{\text{-2}})\ (\text{4L})$

$\text{ } = \text{ 16 }(\text{M}\text{L}^{2}T^{\text{-2}})$