Question

The value of universal gravitational constant G = $6.67\times {10}^{-11}N{m}^{2}k{g}^{-2}$. The value of G in units of $g^{-1}c{m}^3{s}^{-2}$ is

• A. $6.67\times {10}^{-8}$
• B. $6.67\times {10}^{-7}$
• C. $6.67\times {10}^{-9}$
• D. $6.67\times {10}^{-10}$

Answer 1

The correct option is A $6.67\times {10}^{-8}$

$G=6.67\times {10}^{-11}N{m}^{2}k{g}^{-2}$
$=6.67\times {10}^{-11}\times \left(kgm{s}^{-2}\right)\left(m^2\right)(kg{)}^{-2}$
$=6.67\times {10}^{-11}\times \left[\right(1000g)\times (100cm)\times s^{-2}]\times (100cm{)}^2\times (1000g{)}^{-2}$
$=6.67\times {10}^{-8}{g}^{-1}c{m}^3{s}^{-1}$