Conversion of UnitsMediumQuestion 5021
Question
The value of G = 6.67 × 10⁻¹¹ N m² kg⁻². Its value in CGS units (dyne cm² g⁻²) is:
- A6.67 × 10⁻⁸Correct
- B6.67 × 10⁻⁶
- C6.67 × 10⁻¹¹
- D6.67 × 10⁻⁴
Correct answer
6.67 × 10⁻⁸
Explanation
G has dimensions [M⁻¹L³T⁻²]. Converting: 1 N = 10⁵ dyne, 1 m² = 10⁴ cm², 1 kg² = 10⁶ g². G(CGS) = 6.67×10⁻¹¹ × 10⁵ × 10⁴ / 10⁶ = 6.67 × 10⁻⁸ dyne cm² g⁻².