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

Question

Aicharya · Accepted Answer

$n_2=n_1\left[\left(\frac{m_1}{m_2}ight)^a\left(\frac{L_1}{L_2}ight)^b\left(\frac{T_1}{T_2}ight)^cight]$ Dimensions of force is [ $\mathrm{M} \mathrm{L} \mathrm{T}^{-2}$ ] $a=1, b=1, c=-2$ $\begin{aligned} n_2 & =100\left[\left(\frac{\mathrm{g}}{\mathrm{kg}}ight)^1\left(\frac{\mathrm{cm}}{	ext { metre }}ight)^1\left(\frac{\mathrm{sec}}{\mathrm{min}}ight)^{-3}ight] \ & =100\left[\frac{\mathrm{g}}{100 \mathrm{~g}} 	imes \frac{\mathrm{cm}}{100 \mathrm{~cm}} 	imes\left(\frac{\mathrm{sec}}{60 \mathrm{sec}}ight)^{-2}ight] \ & =100\left[\frac{1}{1000} 	imes \frac{1}{100} 	imes(60)^2ight] \ & =100 	imes \frac{1}{1000} 	imes \frac{1}{100} 	imes 3600=3.6\end{aligned}$

In CGS system the magnitude of the force is 100 dynes. In another system where the fundamental physical.…

Solution