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Question: Answered & Verified by Expert
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
PhysicsUnits and DimensionsJEE Main
Options:
  • A 10 5  kg
  • B 10 6  kg
  • C 10 2  kg
  • D 10 3  kg
Solution:
1718 Upvotes Verified Answer
The correct answer is: 10 5  kg
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 kg

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