Single Choice

For the electron moving in the circular orbit in the hydrogen atom, the forces of attraction of the nucleus are balanced by the force equal to:

A$$\displaystyle\frac { 1 }{ 2 } { mV }^{ 2 }$$
B$$\displaystyle\frac { { -mV }^{ 2 } }{ r } $$
Correct Answer
C$$\displaystyle\frac { { -e }^{ 2 } }{ 2r } $$
D$$\displaystyle\frac { m }{ { Vr }^{ 2 } } $$

Solution

For an object moving in the circular orbit , the centripetal force is given by $$\displaystyle\frac{mV^2}{r}$$ which is equal to force of attraction between electron and proton.

SIMILAR QUESTIONS

Atomic Structure

According to Bohr theory, the angular momentum for an electron of $$5$$th orbit is:

Atomic Structure

For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?

Atomic Structure

Which one of the following statement is not correct?

Atomic Structure

The orbital angular momentum of a d-electron is:

Atomic Structure

The angular momentum of an electron in a given stationary state can be expressed as $$m_evr = n\frac{h}{2\pi}$$. Based on this expression an electron can move only in those orbits for which its angular momentum is ?

Atomic Structure

Orbital angular momentum depends on______.

Atomic Structure

What will be the angular momentum of an electron, if the energy of this electron in H-atom is $$1.5 eV$$ (in J-s)?

Atomic Structure

What is the difference in the angular momentum of an electron present in $$3p$$ and that present in $$4p$$ orbital ?

Atomic Structure

What is Bohr's postulate of angular momentum ?

Atomic Structure

Fill in the blanks: $$ \dfrac{h}{\pi} $$ is the angular momentum of the electron in the ________ orbit of $$He^{+}$$.

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