Question

In $CGS$ system the magnitude of the force is $100$ dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is

• A. $0.036$
• B. $0.36$
• C. $3.6$
• D. $36$

Answer 1

Answer: (C)

$n_{1}=n_{2}\left(\frac{M_{1}}{M_{2}}\right)^{1}\left(\frac{L_{1}}{L_{2}}\right)^{1}\left(\frac{T}{T_{2}}\right)^{-2}$
$=100\left(\frac{g}{kg}\right)^{1}\left(\frac{cm}{m}\right)^{1}\left(\frac{s}{min}\right)^{-2}$
$=100\left(\frac{g}{10^{3}g}\right)^{1}\left(\frac{cm}{10^{2}cm}\right)^{1}\left(\frac{s}{60s}\right)^{-2}$
$=\frac{3600}{10^{3}}=3.6$