Physics-(general)

NEET Physics (general) MCQ Question

Type: MCQ-numerical-Easy-Class 11

Convert the gravitational constant G from its SI unit to (cm)³ s⁻² g⁻¹.

A

6.67 × 10⁻⁸

B

6.67 × 10⁻⁹

C

6.67 × 10⁻¹⁰

D

6.67 × 10⁻¹¹

Correct Answer

Option A

Detailed Explanation

The conversion involves changing N m² (kg)⁻² to (cm)³ s⁻² g⁻¹. Since 1 N = 10⁵ dyne, 1 m = 100 cm, and 1 kg = 1000 g, the conversion factor is 10⁵ × (100)² × (1/1000)² = 10⁵ × 10⁴ × 10⁻⁶ = 10³, making G = 6.67 × 10⁻¹¹ N m² (kg)⁻² = 6.67 × 10⁻⁸ (cm)³ s⁻² g⁻¹.

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