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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 -

Options

  1. A1 10 N
  2. B1 N
  3. C10 N
  4. D100 N

Correct answer

A. 1 10 N

Step-by-step solution

Dimensionally F = M L T - 2 In C.G.S. system 1 d y n e = 1 g 1 c m 1 s - 2 In the new system 1 x = 10 g 10 c m 0.1 s - 2 1 d y n e 1 x = 1 g 10 g × 1 c m 10 c m 10 s 1 s - 2 1 d y n e = 1 10,000 × 1 x 10 4 d y n e = 1 x 10 x = 10 5 d y n e = 1 N x = 1 10 N

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