Which energy level transition among the follo | vedclass

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

Question

(C) According to the energy relation,$E = \frac{hc}{\lambda}$,which implies $E \propto \frac{1}{\lambda}$.Since the energy of the emitted photon is in

Vedclass · Accepted Answer

$n_4 \longrightarrow n_1$

Vedclass · Answer

(C) According to the energy relation,$E = \frac{hc}{\lambda}$,which implies $E \propto \frac{1}{\lambda}$.Since the energy of the emitted photon is inversely proportional to its wavelength,the transition with the largest energy difference will result in the shortest (least) wavelength.The energy difference $\Delta E$ is given by $\Delta E = 13.6 	imes Z^2 \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} ight) 	ext{ eV}$.Comparing the transitions:$(A)$ $n_4 \longrightarrow n_3$: $\Delta E \propto (\frac{1}{9} - \frac{1}{16}) = \frac{7}{144} \approx 0.048$$(B)$ $n_4 \longrightarrow n_2$: $\Delta E \propto (\frac{1}{4} - \frac{1}{16}) = \frac{3}{16} = 0.1875$$(C)$ $n_4 \longrightarrow n_1$: $\Delta E \propto (\frac{1}{1} - \frac{1}{16}) = \frac{15}{16} = 0.9375$$(D)$ $n_2 \longrightarrow n_1$: $\Delta E \propto (\frac{1}{1} - \frac{1}{4}) = \frac{3}{4} = 0.75$The transition $n_4 \longrightarrow n_1$ has the largest energy difference,therefore it corresponds to the least wavelength.

Which energy level transition among the following will have the least wavelength?

Similar Questions

$A$ surface ejects electrons when hit by green light but not when hit by yellow light. Will electrons be ejected if the surface is hit by red light?

The electron present in an excited state of $He^{+}$ ion shows separation (ionization) on collision with an electron having $2.5 \ eV$ energy. What will be the minimum value of $n$ for this electron of $He^{+}$ ion?

The difference between the radii of $3^{rd}$ and $4^{th}$ orbits of $Li^{2+}$ is $\Delta R_{1}$. The difference between the radii of $3^{rd}$ and $4^{th}$ orbits of $He^{+}$ is $\Delta R_{2}$. Ratio $\Delta R_{1} : \Delta R_{2}$ is :

Calculate the wavelength of the emitted radiation when an electron transitions from $n = 3$ to $n = 2$ in a hydrogen atom. To which region does this radiation belong?

Time taken for an electron to complete one revolution in the Bohr orbit of hydrogen atom is

Vedclass Test Series

Exam Paper Generator

Online Exam Module