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JEE Main 202522 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
22 January
Shift
Morning Shift
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2025 · 22 January · Morning Shift · Physics · Units and Dimensions

If B is magnetic field and μ_0 is permeability of free space, then...

If BB is magnetic field and μ0\mu_0 is permeability of free space, then the dimensions of (B/μ0)\left(B / \mu_0\right) is

Options

  1. AML2 T−2 A−1\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-1}
  2. BMT−2 A−1\mathrm{MT}^{-2} \mathrm{~A}^{-1}
  3. CL−1 A\mathrm{L}^{-1} \mathrm{~A}
  4. DLT−2 A−1\mathrm{LT}^{-2} \mathrm{~A}^{-1}

Correct answer

C. L−1 A\mathrm{L}^{-1} \mathrm{~A}

Step-by-step solution

For a current carrying loop at centre B=μ0i2R∴Bμ0≡iR≡[AL−1]\begin{aligned} & B=\frac{\mu_0 i}{2 R} \\ & \therefore \quad \frac{B}{\mu_0} \equiv \frac{i}{R} \equiv\left[\mathrm{AL}^{-1}\right] \end{aligned}
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