The value G is CGS system is 6.67xx10^(-8) dyne cm^(2)g^(-2). Calcualte the value in SI units.

The value G is CGS system is 6.67xx10^(-8) dyne cm^(2)g^(-2). Calcualt

1.	The value G is CGS system is 6.67xx10^(-8) dyne cm^(2)g^(-2). Calcualte the value in SI units.
Answer» Solution :As `F=G(m_(1)m_(2))/(r^(2))` `G=(F.r^(2))/(m_(1)m_(2))` `[G=(MLT^(-2)L^(2))/(MM)=M^(-1)L^(3)T^(-2)` `therefore a=-1, b=3, c=-2` `therefore n_(2)=n_(1)[(M_(1))/(M_(2))]^(a)[(L_(1))/(L_(2))]^(h)[(T_(1))/(T_(2))]^(c )` `=6.67xx10^(-8)[(1)/(1000)]^(-1)[(1)/(100)]^(3)[(1)/(1)]^(-2)` `=6.67xx10^(-11)` HENCE in SI units, `G=6.67xx10^(-11)NM^(2)kg^(-2)`