Question 293: Dual Nature of Matter and Radiation

Question

When an electron orbiting in hydrogen atom in its ground state jumps to higher excited state, the de-Broglie wavelength associated with it

Accepted Answer

In a hydrogen atom, when an electron transitions from the ground state to a higher excited state, it gains energy and moves to an orbit with a larger radius. According to the de Broglie hypothesis, the wavelength associated with a moving electron is given by:
$$ \lambda = \frac{h}{p} $$
where:
$ \lambda $ is the de Broglie wavelength,
$ h $ is Planck's constant,
$ p $ is the momentum of the electron.
The momentum $ p $ can be expressed in terms of the electron's kinetic energy. As the electron transitions to a higher energy level, its energy increases due to the work done to move it further from the nucleus, resulting in a higher velocity and increased momentum. Consequently, the de Broglie wavelength $ \lambda $ will decrease, since wavelength is inversely proportional to momentum. Therefore, the correct response is:
Option C:
will decrease.

Answer

will become zero.

Answer

will remain same.

Answer

will decrease.

Answer

will increase.

Dual Nature of Matter and Radiation

When an electron orbiting in hydrogen atom in its ground state jumps to higher excited state, the de-Broglie wavelength associated with it

Choose the correct answer: