The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true? [2000]

Question

The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true? [2000]

Smart Achievers · Accepted Answer

(1)

According to the question, in a hydrogen atom, the electron makes a transition from an excited state to the ground state, i.e., the electron comes closer to the nucleus, so $r$ decreases.

$∴$ $Potential Energy (P.E.) = - \frac{K Z e^{2}}{r}$

$∴$ Potential energy decreases.

Kinetic energy (K.E.) will increase.

$∵$ $K.E. = \frac{1}{2} \frac{K Z e^{2}}{r}$

$∴$ Total energy decreases.

$∵$ $T.E. = P.E. + K.E. = - \frac{1}{2} \frac{K Z e^{2}}{r}$

Solution

Q.
The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true [2000]

1 Its kinetic energy increases and its potential and total energies decrease.

2 Its kinetic energy decreases, potential energy increases and its total energy remains the same.

3 Its kinetic and total energies decrease and its potential energy increases.

4 Its kinetic, potential and total energies decrease.

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