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  • Bohr model is applied to a particle of mass m and charge q moving in a plane under the influence of a transverse magnetic field B. The energy of the charged particle in the <img alt="\mathrm{n^{\te

Bohr model is applied to a particle of mass m and charge q moving in a plane under the influence of a transverse magnetic field B. The energy of the charged particle in the \mathrm{n^{\text {th }} } level will be

Option: 1

\mathrm{\frac{2 n h qB}{\pi m} }


Option: 2

\frac{n h q B}{2 \pi m}


Option: 3

\mathrm{\frac{n h q B}{4 \pi m}}


Option: 4

\mathrm{\frac{n h q B}{\pi m}}


Answers (1)

best_answer

we know that,

\begin{aligned} \mathrm{F} & =\mathrm{q u B} \\ \mathrm{\frac{m v^2}{r}} & \mathrm{=2 \times \frac{nh}{2 \pi m r} \times B} \quad\left\{\quad \because \begin{array}{l} \text { mvr } \mathrm{=\frac{nh}{2 \pi}} \end{array}\right. \\ \mathrm{\frac{1}{2} m v^2 }& =\mathrm{\frac{n h q B}{4 \pi m}=\text { Energy }} \end{aligned}

Posted by

Ritika Jonwal

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