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

Answer: (A)

$G=6.67\times 10^{-11}N{m}^{2}k{g}^{-2}$
$=6.67\times 10^{-11}\times \left(kgm{s}^{-2}\right)\times \left(m^2\right)\times (kg{)}^{-2}$
$=6.67\times 10^{-11}\times \left[(1000g)\times (100cm)\times s^{-2}\right]$
$\times (100cm{)}^2\times (1000g{)}^{-2}$
$=6.67\times 10^{-11}\times 10^5\times 10^4\times 10^{-6}{g}^{-1}c{m}^3{s}^{-2}$
$=6.67\times 10^{-8}{g}^{-1}c{m}^3{s}^{-2}$