Question

Convert 6.67×10^11 Nm^2 kg^-2 in CGS system

Answer 1

we know that in SI

G = 6.67 x 10-11 Nm2/kg2

so, when expressed in VGS units we shall convert N to dynes, m to cm and kg to g, thus

G = 6.67 x 10-11 x [(105dynes x (102)2cm2 ) / (103)2 g2]

=  6.67 x 10-11 x [ (105 x 104 ) / 106 ] 

thus,

in CGS system

G = 6.67 x 10-8 dyne.cm2/g2

Answer 2

The answer to the question is $\ 6.67\times 10^{14}\ dyne\ cm^2\ gram^{-2}$

CALCULATION:

We know that 1 N = $10^{5}\ dyne$

one metre = 100 cm

                 = $10^{2}\ cm$

Again one 1 kg = 1000 gram

                         = $10^{3}\ gram$.

We are asked to convert $6.67\times\10^{11}\ Nm^2\ kg^{-2}$ into CGS system.

We have  $6.67\times\ 10^{11}\ Nm^2\ kg^{-2}$

                 $=\ 6.67\times 10^{11} (10^{5})dyne\times (100cm)^{2}\times (1000\ gram)^{-2}$

                 $=\ 6.67\times 10^{11} \times 10^5\times 10^4\times 10^{-6}\ dyne\ cm^2\ gram^{-2}$

                 $=\ 6.67\times 10^{14}\ dyne\ cm^2\ gram^{-2}$   [ans]