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Would the Bohr formula for the H-atom remain unchanged if proton had a charge (+4/3)e and electron a charge (−3 /4)e, where e = 1.6 × 10–19C. Give reasons for your answer.

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प्रश्न

Would the Bohr formula for the H-atom remain unchanged if proton had a charge (+4/3)e and electron a charge (−3/4)e, where e = 1.6 × 10–19C. Give reasons for your answer.

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उत्तर

According to Bohr, for an electron around a stationary nucleus, the electrostatic force of attraction provides the necessary centripetal force.

i.e. `1/(4πε_0) (q_1q_2)/r^2 = (mv^2)/r` ......(i)

Hence the magnitude of electrostatic force F ∞ qx q2

If the proton had a charge (+4/3)e and the electron a charge (−3/4)e, then the Bohr formula for the H-atom remains the same, since the Bohr formula involves only the product of the charges which remain constant for given values of charges.

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अध्याय 12: Atoms - Exercises [पृष्ठ ७८]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 12
अध्याय 12 Atoms
Exercises | Q 12.17 | पृष्ठ ७८

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