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Question

In a hypothetical system, a particle of mass $$'m\ '$$ and charge $$'-3q\ '$$ is moving around a very heavy particle charge $$q$$. Assume that Bohr's model is applicable to this system, then velocity of mass $$'m\ '$$ in the first orbit is


A
3q22ϵ0h
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B
3q24ϵ0h
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C
3q2πϵ0h
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D
3q4πϵ0h
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Solution

The correct option is A $$\displaystyle\frac{3q^2}{2\epsilon_0h}$$
According to the derivation of the above equation:
The changes are, charge of electron being $$-3q$$ and proton is $$q$$.
Here, $$Z=n=1$$
Hence, $$ v=\dfrac { 3{ q }^{ 2 } }{ 2h{ \varepsilon  }_{ 0 } }$$

Physics

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