A 12.75 eV electron beam is used to bombard | vedclass

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

Question

(A) The energy of the ground state of a hydrogen atom is $E_1 = -13.6 \ eV$. When an electron beam of $12.75 \ eV$ bombards the hydrogen gas,the energ

Vedclass · Accepted Answer

either Paschen,Lyman or Balmer series

Vedclass · Answer

(A) The energy of the ground state of a hydrogen atom is $E_1 = -13.6 \ eV$. When an electron beam of $12.75 \ eV$ bombards the hydrogen gas,the energy of the excited hydrogen atom becomes $E = -13.6 + 12.75 = -0.85 \ eV$. Using the formula $E_n = -13.6 / n^2 \ eV$,we find that $-0.85 = -13.6 / n^2$,which gives $n^2 = 16$,so $n = 4$. The possible transitions from the $n = 4$ state are: $n = 4$ $\rightarrow 3, 4$ $\rightarrow 2, 4$ $\rightarrow 1, 3$ $\rightarrow 2, 3$ $\rightarrow 1, 2$ $\rightarrow 1$. Transitions ending at $n = 1$ belong to the Lyman series $(4$ $\rightarrow 1, 3$ $\rightarrow 1, 2$ $\rightarrow 1)$. Transitions ending at $n = 2$ belong to the Balmer series $(4$ $\rightarrow 2, 3$ $\rightarrow 2)$. Transition ending at $n = 3$ belongs to the Paschen series $(4 \rightarrow 3)$. Thus,the emitted wavelengths belong to the Lyman,Balmer,and Paschen series.

$A$ $12.75 \ eV$ electron beam is used to bombard gaseous hydrogen at room temperature. The wavelengths emitted belong to which of the following series?

Similar Questions

The ratio of the area enclosed by the second orbit to the first orbit is ......

Consider an electron moving in the first Bohr orbit of a $He^{+}$ ion with a velocity $v_1$. If it is allowed to move in the third Bohr orbit with a velocity $v_3$,then indicate the correct $v_3: v_1$ ratio.

The wave number of the last line of the Lyman series of the atomic spectrum of the $H$ atom corresponds to :-

The wavelength of a particular electron transition for $He^{+}$ is $100 \ nm$. The wavelength (in $\mathring{A}$) of $H$ atom for the same transition is

Maximum frequency of emission is obtained for the transition $:-$

Vedclass Test Series

Exam Paper Generator

Online Exam Module