A photon collides with a stationary hydrogen | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) $1$. The ground state energy of a hydrogen atom is $E_1 = -13.6 \, eV$. The first excited state is $E_2 = -3.4 \, eV$. The energy required to exci

Vedclass · Accepted Answer

One photon of energy $10.2 \, eV$ and an electron of energy $1.4 \, eV$

Vedclass · Answer

(C) $1$. The ground state energy of a hydrogen atom is $E_1 = -13.6 \, eV$. The first excited state is $E_2 = -3.4 \, eV$. The energy required to excite the atom from ground state to the first excited state is $\Delta E = E_2 - E_1 = -3.4 - (-13.6) = 10.2 \, eV$.$2$. When the first photon of $10.2 \, eV$ collides,the atom absorbs it and transitions to the first excited state. After a microsecond,the atom de-excites,emitting a photon of $10.2 \, eV$.$3$. When the second photon of $15 \, eV$ collides with the atom (which is now back in the ground state),since $15 \, eV > 13.6 \, eV$ (the ionization energy of hydrogen),the atom undergoes ionization.$4$. The kinetic energy of the ejected electron is $K = E_{photon} - |E_1| = 15 \, eV - 13.6 \, eV = 1.4 \, eV$.$5$. Therefore,the detector will observe one photon of $10.2 \, eV$ (from the first event) and one electron of $1.4 \, eV$ (from the second event).

Similar Questions

$A$ string fixed at one end and free at the other is vibrating in its second overtone. The length of the string is $10 \ cm$ and the maximum amplitude of vibration of particles of the string is $2 \ mm$. The amplitude of the particle at $9 \ cm$ from the fixed end is

The point where the line $\frac{x - 1}{2} = \frac{y - 2}{-3} = \frac{z + 3}{4}$ meets the plane $2x + 4y - z = 1$ is:

Identify $A, B$ and $C$ in the following reactions:
$CH_3 Cl$ $\xrightarrow{KCN} A$ $\xrightarrow{H_3 O^{\oplus}} B$ $\xrightarrow{C_2 H_5 OH / H^{+}, \Delta} C$

$A$ car travels from point $A$ to point $B$ with a speed of $40 \ km/h$ and returns from $B$ to $A$ with a speed of $60 \ km/h$. What is the average speed of the car for the entire journey (in $km/h$)?

In the Fraunhofer diffraction experiment,$L$ is the distance between the screen and the obstacle,$b$ is the size of the obstacle,and $\lambda$ is the wavelength of the incident light. The general condition for the applicability of Fraunhofer diffraction is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module