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In a new system of units, the unit of force is 100 N , unit of length is 10 m and unit of time is 100 s . Unit of mass in this system can be expressed as

Options

  1. A10 5 k g
  2. B10 6 k g
  3. C10 2 k g
  4. D10 3 k g

Correct answer

A. 10 5 k g

Step-by-step solution

Here, force (F) = [MLT –2 ] = 100 N ...(i) Length (L) = [L] = 10 m ...(ii) Time (t) = [T] = 100 s ...(iii) Substituting values of L and T from Equations. (ii) and (iii) in Equation. (i), we get M × 10 × (100) –2 = 100 or M ⁡ × 1 0 1 0 0 × 1 0 0 = 1 0 0 or M = 100 × 1000 kg M = 10 5 kg

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