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Question: Answered & Verified by Expert

Let 0 denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then :

PhysicsUnits and DimensionsJEE MainJEE Main 2013 (07 Apr)
Options:
  • A 0 = M -1  L 2  T -1  A - 2
  • B 0 = M -1  L 2  T -1  A
  • C 0 = M -1  L - 3  T 2  A
  • D 0 = M -1  L - 3  T 4  A 2
Solution:
2470 Upvotes Verified Answer
The correct answer is: 0 = M -1  L - 3  T 4  A 2
F = 1 4 π ε 0 q 1 q 2 R 2

ε 0 = q 1 q 2 4 π FR 2

Hence, ε 0 = C 2 N . m 2 = AT 2 ML T - 2 . L 2 = M -1  L - 3  T 4  A 2

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