Question

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

• A. becomes 8 times
• B. becomes 16 times
• C. decrease 16 times
• D. increase 4 times

Answer 1

The correct option is B becomes 16 times

Unit of Energy $=kg.m^2/s^2$

Unit of Force $=kg.m/s^2$

Unit of Length $=m$

Thus, unit of energy in terms of unit of force and length is given by

Unit of Energy $=(kg.m/s^2)\times \left(m\right)$

If the units of length and force are increased by four times,

the unit of energy will be:

Unit of Energy $=(4.kg.m/s^2)\times \left(4m\right)$

Unit of Energy $=16(kg.m^2/s^2)$

Therefore, if the units of length and force are increased by four times, the unit of energy will change by $16$ times.