99 Percentile Qs Bank for JEE MainPhysicsUnits and Dimensions
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
- A0.036
- B0.36
- C3.6
- 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