The value of universal gravitational constant G=6.67 × 10-11 N m2 kg-2. The value of G in units of g-1 cm3 s-2 is

Question

The value of universal gravitational constant G=6.67 × 10-11 N m2 kg-2. The value of G in units of g-1 cm3 s-2 is (A) 6.67 × 10-8 (B) 6.67 × 10-7 (C) 6.67 × 10-9 (D) 6.67 × 10-10

Tardigrade Admin · Accepted Answer

G=6.67 × 10-11 N m2 kg-2 =6.67 × 10-11 × (kg ms-2)(m2)(kg)-2 =6.67 × 10-11 × [(1000 g)× (100 cm)× s-2] × (100 cm)2 × (1000 g)-2 =6.67 × 10-8 g-1 cm3 s-2

Q. The value of universal gravitational constant $G = 6.67 \times 1 0^{- 11} N m^{2} k g^{- 2}$ . The value of $G$ in units of $g^{- 1} c m^{3} s^{- 2}$ is

$6.67 \times 1 0^{- 8}$

$6.67 \times 1 0^{- 7}$

$6.67 \times 1 0^{- 9}$

$6.67 \times 1 0^{- 10}$

$G = 6.67 \times 1 0^{- 11} N m^{2} k g^{- 2}$
$= 6.67 \times 1 0^{- 11} \times (k g m s^{- 2}) (m^{2}) (k g)^{- 2}$
$= 6.67 \times 1 0^{- 11} \times [(1000 g) \times (100 c m) \times s^{- 2}]$ $\times (100 c m)^{2} \times (1000 g)^{- 2}$
$= 6.67 \times 1 0^{- 8} g^{- 1} c m^{3} s^{- 2}$

Q. The value of universal gravitational constant G=6.67×10−11Nm2kg−2. The value of G in units of g−1cm3s−2 is

6.67×10−8

6.67×10−7

6.67×10−9

6.67×10−10