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MHT CET 2025 (21 Apr, Shift 2) · Biot-Savart Law & Circular Coils

Biot-Savart Law & Circular Coils question from MHT CET 2025 (21 Apr, Shift 2)

Q24MHT CET 2025 · 21 APR · SHIFT 2Medium

Biot-Savart Law & Circular Coils

An electron moves in Bohr orbit. The magnetic field at the centre is proportional to

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Answer: (d)

  1. B=μ0I2rB = \frac{\mu_0 I}{2r} with I=ev2πrI = \frac{ev}{2\pi r}, so B∝vr2B \propto \frac{v}{r^2}.
  2. Bohr model: v∝1nv \propto \frac{1}{n}, r∝n2r \propto n^2.
  3. B∝n−1n4=n−5B \propto \frac{n^{-1}}{n^4} = n^{-5}
  4. So the answer is (d) n−5n^{-5}.
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