The wavelength of the radiation emitted,when | vedclass

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

Question

(C) The Rydberg formula for the wavelength of emitted radiation is given by: $\frac{1}{\lambda} = R_H 	imes Z^2 	imes (\frac{1}{n_1^2} - \frac{1}{n_

Vedclass · Accepted Answer

$91$

Vedclass · Answer

(C) The Rydberg formula for the wavelength of emitted radiation is given by: $\frac{1}{\lambda} = R_H 	imes Z^2 	imes (\frac{1}{n_1^2} - \frac{1}{n_2^2})$For a hydrogen atom,$Z = 1$. The electron falls from infinity $(n_2 = \infty)$ to the stationary state $n_1 = 1$.Substituting the values: $\frac{1}{\lambda} = 1.097 	imes 10^7 \ m^{-1} 	imes (1)^2 	imes (\frac{1}{1^2} - \frac{1}{\infty^2})$$\frac{1}{\lambda} = 1.097 	imes 10^7 	imes (1 - 0) = 1.097 	imes 10^7 \ m^{-1}$$\lambda = \frac{1}{1.097 	imes 10^7} \ m \approx 9.115 	imes 10^{-8} \ m$To convert meters to nanometers $(nm)$,multiply by $10^9$: $\lambda = 9.115 	imes 10^{-8} 	imes 10^9 \ nm = 91.15 \ nm \approx 91 \ nm$.

The wavelength of the radiation emitted,when in a hydrogen atom an electron falls from infinity to stationary state $n = 1$,would be ........ $nm$ (Rydberg constant $R_H = 1.097 \times 10^7 \ m^{-1}$)

Similar Questions

The energy of the second Bohr orbit of the hydrogen atom is $-328 \ kJ \ mol^{-1}$. Hence,the energy of the fourth Bohr orbit would be .............. $kJ \ mol^{-1}$.

$A$ certain transition in the hydrogen spectrum from an excited state in one or more steps gives rise to a total of $10$ lines. The number of lines lying in the visible spectrum is:

As an electron moves away from the nucleus,its potential energy

$A$ bulb of $40 \ W$ is producing light of wavelength $620 \ nm$ with $80 \%$ efficiency. The number of photons emitted by the bulb in $20 \ s$ is $(1 \ eV = 1.6 \times 10^{-19} \ J, hc = 12400 \ eV \ \mathring{A})$

The limiting line in the Balmer series of the $H$ spectrum has a frequency of ....... $(R_\infty = 3.29 \times 10^{15} \, cycles/s)$

Vedclass Test Series

Exam Paper Generator

Online Exam Module