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MHT CET 2026 (13 Apr, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2026 (13 Apr, Shift 1)

Q27MHT CET 2026 · 13 APR · SHIFT 1Medium

Bohr Model: Orbits, Speed & Angular Momentum

The ratio of centripetal acceleration for an electron revolving in 3rd and 5th Bohr orbit of hydrogen atom is

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Answer: (c)

  1. a=v2ra = \frac{v^2}{r} with v∝1nv \propto \frac{1}{n}, r∝n2⇒a∝1n4r \propto n^2 \Rightarrow a \propto \frac{1}{n^4}
  2. a3a5=5434=62581\frac{a_3}{a_5} = \frac{5^4}{3^4} = \frac{625}{81}
  3. So the answer is (c) 625:81625 : 81.
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