A hydrogen atom is in ground state ( n=1 ). The magnetic field produced by revolving electron, at centre of atom is B_0 . Atom is excited to state n=4 . According to Bohr model, the correct alternative(s) is/are

Olympiad workbook

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Chapter: Atomic Physics

Olympiad workbook · NSEP · Atomic Physics

A hydrogen atom is in ground state ( n=1 ). The magnetic field...

A hydrogen atom is in ground state (

\mathrm{n}=1

). The magnetic field produced by revolving electron, at centre of atom is

\mathrm{B}_0

. Atom is excited to state

\mathrm{n}=4

. According to Bohr model, the correct alternative(s) is/are

Options

AMagnetic field at centre of atom for $(n=4)$ becomes $B_4=\frac{B_0}{64}$
BEnergy absorbed by atom in going from $(n=1)$ to $(n=4)$ is 12.75 eV
CChange in magnitude of angular momentum of electron is $\frac{3 h}{2 \pi}$
DAssume that this excited atom $(n=4)$ is at rest and it makes transition to ground state $(n=1)$ in a single quantum jump of an electron, (Take mass of atom $\mathrm{M}_{\mathrm{H}}=1.67 \times 10^{-27} \mathrm{Kg}$ ) the recoil speed of atom will be nearly $\mathrm{v}=4.1 \mathrm{~ms}^{-1}$ .

Correct answer

D. Assume that this excited atom $(n=4)$ is at rest and it makes transition to ground state $(n=1)$ in a single quantum jump of an electron, (Take mass of atom $\mathrm{M}_{\mathrm{H}}=1.67 \times 10^{-27} \mathrm{Kg}$ ) the recoil speed of atom will be nearly $\mathrm{v}=4.1 \mathrm{~ms}^{-1}$ .

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