What is the value of Universal Gravitational Constant (G) in C.G.S uni...
The value of the Universal Gravitational Constant (G) in CGS (Centimeter-Gram-Second) units is approximately 6.67 * 10(-8) cm3 g(-1) s(-2).
So, the correct option from the provided choices is C) 6.67 * 10(-8) cgs unit.
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What is the value of Universal Gravitational Constant (G) in C.G.S uni...
Understanding the Universal Gravitational Constant (G)
The Universal Gravitational Constant (G) is a fundamental constant in physics, crucial for understanding gravitational forces between masses. Its value is typically expressed in different units depending on the system used.
Value of G in C.G.S Units
In the C.G.S (centimeter-gram-second) system, the value of the Universal Gravitational Constant is represented as:
- G = 6.67 x 10^-8 cm³/g·s²
This value is derived from the standard value of G in SI units, which is approximately 6.674 x 10^-11 N·m²/kg². To convert it into the C.G.S system, we apply the necessary conversions:
- 1 N (Newton) = 10^5 dyne
- 1 m = 100 cm
- 1 kg = 1000 g
Using these conversions, the value of G in C.G.S units becomes:
- G = 6.674 x 10^-11 N·m²/kg² = 6.67 x 10^-8 cm³/g·s²
Explanation of Options
Now, let’s analyze the options provided:
- a) 6.67 * 10^-6 cgs unit (Incorrect)
- b) 6.67 * 10^-7 cgs unit (Incorrect)
- c) 6.67 * 10^-8 cgs unit (Correct)
- d) 6.67 * 10^-10 cgs unit (Incorrect)
The correct answer is option 'C' (6.67 * 10^-8 cgs unit), which aligns with the established value of G in the C.G.S system.
Conclusion
Understanding the value of G in different units is essential for solving problems in gravitational physics, especially in fields like astrophysics and engineering. The correct conversion and recognition of this constant are crucial for accurate calculations in these domains.