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In CGS system the magnitude of the force is 100 dynes. In another system where the fundamental physical. quantities are kilogram, meter and minute, the magnitude of the force is

Options

  1. A0.036
  2. B0.36
  3. C3.6
  4. D36

Correct answer

C. 3.6

Step-by-step solution

n₂=n₁ [ ( m₁ m₂ )^a ( L₁ L₂ )^b ( T₁ T₂ )^c ] Dimensions of force is [ M L T ⁻² ] a=1, b=1, c=-2 aligned n₂ & =100 [ ( g kg )^1 ( cm metre )^1 ( sec min )⁻³ ] & =100 [ g 100 ~g cm 100 ~cm ( sec 60 sec )⁻² ] & =100 [ 1 1000 1 100 (60)^2 ] & =100 1 1000 1 100 3600=3.6 aligned

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