An electron in a Hydrogen atom first jumps fr | vedclass

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

Question

(D) The energy levels for a Hydrogen atom are given by $n=1$ (ground state),$n=2$ (first excited state),$n=3$ (second excited state),and $n=4$ (third

Vedclass · Accepted Answer

$\frac{20}{7}$

Vedclass · Answer

(D) The energy levels for a Hydrogen atom are given by $n=1$ (ground state),$n=2$ (first excited state),$n=3$ (second excited state),and $n=4$ (third excited state).For the first transition from the third excited state $(n=4)$ to the second excited state $(n=3)$:$\frac{1}{\lambda_{1}} = R \left( \frac{1}{3^{2}} - \frac{1}{4^{2}} ight) = R \left( \frac{1}{9} - \frac{1}{16} ight) = R \left( \frac{16-9}{144} ight) = R \left( \frac{7}{144} ight)$.For the second transition from the second excited state $(n=3)$ to the first excited state $(n=2)$:$\frac{1}{\lambda_{2}} = R \left( \frac{1}{2^{2}} - \frac{1}{3^{2}} ight) = R \left( \frac{1}{4} - \frac{1}{9} ight) = R \left( \frac{9-4}{36} ight) = R \left( \frac{5}{36} ight)$.Taking the ratio $\frac{\lambda_{1}}{\lambda_{2}}$:$\frac{\lambda_{1}}{\lambda_{2}} = \frac{1/\lambda_{2}}{1/\lambda_{1}} = \frac{R(5/36)}{R(7/144)} = \frac{5}{36} 	imes \frac{144}{7} = \frac{5 	imes 4}{7} = \frac{20}{7}$.

An electron in a Hydrogen atom first jumps from the third excited state to the second excited state and then from the second excited state to the first excited state. The ratio of the wavelengths $\lambda_{1} : \lambda_{2}$ emitted in the two cases respectively is:

Similar Questions

Which of the following does not show negative deviation from Raoult's law?

Which of the following is an accessory whorl of a flower?

$Br_2 + 2X^{-} \to 2Br^{-} + X_2$
$Cl_2 + 2Y^{-} \to 2Cl^{-} + Y_2$
The incorrect match regarding the above reactions is:

$A$ clock pendulum made of invar has a period of $0.5 \, s$ at $20^{\circ} C$. If the clock is used in a climate where the temperature averages to $30^{\circ} C$, how much time does the clock lose in each oscillation? (For invar, $\alpha = 9 \times 10^{-7} /{ }^{\circ} C$, $g = \text{constant}$)

Which among the following factors is the most important in making fluorine the strongest oxidising halogen?

Vedclass Test Series

Exam Paper Generator

Online Exam Module