Q53 / 60 · JEE Advanced 2015 (Paper 2) · Physics

In terms of potential difference V , electic current I , permittivity ε0 , permeability μ0 and speed of light c , the dimensionally correct equation(s) is (are)

  • Correct answer
    A
    μ0I2=ε0V2
  • B
    ε0I=μ0V
  • Correct answer
    C
    I=ε0cV
  • D
    μ0cI=ε0V

Solution

Using C=1μ0ϵ0 & R=μ0ϵ0 we can check corrections
(i) μ0I2=ϵ0V2
μ0ϵ0=V2I2=R2
∴R2=R2 Correct
(ii) ϵ0I=μ0V
ϵ0μ0=VI
1R2=R Not correct
(iii) I=ϵ0cV
1V=ϵ0c=ϵ0μ0ϵ0
1R=ϵ0μ0=1R Correct
(iv) μ0CI=ϵ0V
μ0Cϵ0=VI
μ0ϵ01μ0ϵ0=R
∴1ϵ0μ0ϵ0=R⇒Rϵ0=R  Incorrect

Hence, the correct answer is options: 'A', 'C'.

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