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Question
Fill in the blank by suitable conversion of unit:
G= 6.67 × 10–11 N m2 (kg)–2= ______ (cm)3s–2 g–1
Solution
G= 6.67 × 10–11 N m2 (kg)–2= 6.67 × 10–8 (cm)3s–2 g–1
Explanation:
1 N = 1 kg m s–2
1 kg = 103 g
1 m3 = 106 cm3
G = 6.67 × 10-11 Nm2 kg-2
= 6.67 × 10-11 (kg m s-2) m2 kg-2
= 6.67 × 10-11 m3 s-2 kg-1
= 6.97 × 10-11 (100 cm)3 s-2 (1000 g)-1
=6.67 × 10–8 cm3 s–2 g–1
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