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JEE Main 2025 (4 Apr, Shift 2) · Units & Dimensions

Units & Dimensions question from JEE Main 2025 (4 Apr, Shift 2)

Q12JEE Main 2025 · 4 APR · SHIFT 2Easy

Units & Dimensions

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of [MPLQTRAS][\mathrm{M^{P}L^{Q}T^{R}A^{S}}]. The value of P and Q are:

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Answer: (b)

  1. Electric dipole moment p=qdp = qd: [p]=ATL[p] = \mathrm{ATL}.
  2. Magnetic dipole moment m=IAm = IA: [m]=AL2[m] = \mathrm{AL^2}.
  3. [p/m]=ATL/AL2=M0L−1T1A0[p/m] = \mathrm{ATL}/\mathrm{AL^2} = \mathrm{M^0L^{-1}T^1A^0}
  4. So P=0P = 0, Q=−1Q = -1: answer (b).
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