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Questions  >>  JEEMAIN and NEET  >>  NEET PAST PAPERS  >>  1998
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Q)

In the Bohr model of H-atom, an electron (e) is revolving around a proton (p) with velocity v, if r is the radius of orbit and m is mass and $\varepsilon_{0}$ is vacuum permittivity, the value of v is :


( A ) $\large\frac{e}{\sqrt{4 \pi m \in_0 r}}$
( B ) $\large\frac{e}{\sqrt{\pi m \in_0 r}}$
( C ) $\large\frac{2e}{\sqrt{\pi m \in_0 r}}$
( D ) $\large\frac{e}{4 \pi m \in_0 r}$

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A)
Solution :
When a charged body is revolving around alter charged body
Contrepetal force = Electrostatic force
$\large\frac{mv^2}{r}=\frac{1}{4 \pi \in_0} \frac{e^2}{r^2}$$
$v^2= \large\frac{e}{\sqrt{4 \pi \in _0 r m }}$
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