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Question: Answered & Verified by Expert
In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalent to -
PhysicsUnits and DimensionsJEE Main
Options:
  • A 110 N
  • B 1 N
  • C 10 N
  • D 100 N
Solution:
1928 Upvotes Verified Answer
The correct answer is: 110 N
Dimensionally

F=MLT-2

In C.G.S. system

1 dyne=1g 1 cm 1s-2

In the new system

1x=10 g10 cm0.1 s-2

1 dyne1 x=1 g10 g×1 cm10 cm10 s1 s-2

1 dyne=110,000×1x

104 dyne=1x

10x=105 dyne=1 N

x=110 N
 

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