In C.G.S. system the magnitutde of the force | vedclass

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(c) ${n_2} = {n_1}{\left( {\frac{{{M_1}}}{{{M_2}}}} \right)^1}{\left( {\frac{{{L_1}}}{{{L_2}}}} \right)^1}{\left( {\frac{T}{{{T_2}}}} \right)^{ - 2}}$

Vedclass · Accepted Answer

$3.6$

Vedclass · Answer

(c) ${n_2} = {n_1}{\left( {\frac{{{M_1}}}{{{M_2}}}} \right)^1}{\left( {\frac{{{L_1}}}{{{L_2}}}} \right)^1}{\left( {\frac{T}{{{T_2}}}} \right)^{ - 2}}$

= $100{\left( {\frac{{gm}}{{kg}}} \right)^1}{\left( {\frac{{cm}}{m}} \right)^1}{\left( {\frac{{\sec }}{{min}}} \right)^{ - 2}}$

= $100{\left( {\frac{{gm}}{{{{10}^3}gm}}} \right)^1}{\left( {\frac{{cm}}{{{{10}^2}cm}}} \right)^1}{\left( {\frac{{\sec }}{{60\sec }}} \right)^{ - 2}}$

$n_2 = \frac{{3600}}{{{{10}^3}}} = 3.6$

LIST $-I$	LIST $-II$
$(A)$ Torque	$(I)$ $kg\,m ^{-1}\,s ^{-2}$
$(B)$ Energy density	$(II)$ $kg\,m\,s^{-1}$
$(C)$ Pressure gradient	$(III)$ $kg\,m ^{-2}\,s ^{-2}$
$(D)$ Impulse	$(IV)$ $kg\,m ^2\,s ^{-2}$

In $C.G.S$. system the magnitutde 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

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