Q. The density of a material in $CGS$ system of units is $4g/cm^{3}$, In a system of units which unit of length is $10\ cm$ and unit of mass is $100\ g$ , the value of density of material will be
A) $400$
B) $0.04$
C) $0.4$
D) $40$
Explanation
$n_{2} = n_{1}\left\lbrack \frac{m_{1}}{m_{2}} \right\rbrack\left\lbrack \frac{L_{1}}{L_{2}} \right\rbrack^{- 3}$ $= 4\left\lbrack \frac{1\ gm}{100\ gm} \right\rbrack\left\lbrack \frac{cm}{10\ cm} \right\rbrack^{- 3} = 4 \times \frac{1}{100} \times 10^{3}$ $= 40$ units
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.