Q. If unit of length, mass and time each be doubled, the unit of work done is increased by
A) 4 times
B) 6 times
C) 8 times
D) 2 times
Explanation
$n_{2} = n_{1}\left\lbrack \frac{M_{2}}{M_{1}} \right\rbrack^{1}\ \left\lbrack \frac{L_{2}}{L_{1}} \right\rbrack^{2}\ \left\lbrack \frac{T_{2}}{T_{1}} \right\rbrack^{- 2}$ Given, $M_{2} = 2M_{1},\ L_{2} = 2L_{1},\ T_{2} = 2T_{1}$ $\therefore n_{2} = n_{1}\lbrack 2\rbrack^{1}\lbrack 2\rbrack^{2}\ \lbrack 2\rbrack^{- 2} = 2n_{1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.