The magnitude of force in CGS system is 100dyne . Let kilogram, metre and minute are fundamental units, then the magnitude of force will be Related: How to Solve NEET Question Paper - Key Tips and Tricks, MUST WATCH!?

Question

The magnitude of force in CGS system is 100dyne . Let kilogram, metre and minute are fundamental units, then the magnitude of force will be Related:  How to Solve NEET Question Paper - Key Tips and Tricks, MUST WATCH!?

Answer

3.6

Answer

Given:
Magnitude of force in CGS system = 100 dyne

Fundamental Units:
- kilogram
- metre
- minute

Converting to SI units:
- 1 dyne = 10^-5 N
- 1 kg = 1000 g
- 1 m = 100 cm
- 1 min = 60 s

Converting the magnitude of force to SI units:
100 dyne = 100 * 10^-5 N = 0.001 N

Expressing force in terms of fundamental units:
Given that kilogram, metre and minute are fundamental units, we need to express force in terms of these units.
Using the relation F = ma, where F is force, m is mass and a is acceleration, we can rewrite force in terms of fundamental units:
- Force = mass * acceleration
- Acceleration = distance / time^2
Since acceleration has units of distance (m) / time^2 (s^2), we can rewrite force in terms of fundamental units as:
- Force = mass * (distance / time^2)
Given that metre is a fundamental unit, we can express distance in terms of metre.

Final Expression of Force:
Therefore, the magnitude of force in terms of kilogram, metre and minute as fundamental units is:
Force = kg * m / min^2
Thus, the magnitude of force in terms of kilogram, metre and minute as fundamental units is 0.001 kg * m / min^2.

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