The wavelength of the second Balmer line in t | vedclass

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

Question

(D) The Rydberg formula is given by $\frac{1}{\lambda} = R \left[ \frac{1}{n_1^2} - \frac{1}{n_2^2} \right]$.For the Balmer series, $n_1 = 2$. The fir

Vedclass · Accepted Answer

None of the above

Vedclass · Answer

(D) The Rydberg formula is given by $\frac{1}{\lambda} = R \left[ \frac{1}{n_1^2} - \frac{1}{n_2^2} \right]$.For the Balmer series, $n_1 = 2$. The first line corresponds to $n_2 = 3$, and the second line corresponds to $n_2 = 4$.$\frac{1}{\lambda_B} = R \left[ \frac{1}{2^2} - \frac{1}{4^2} \right] = R \left[ \frac{1}{4} - \frac{1}{16} \right] = R \left( \frac{3}{16} \right)$.Given $\lambda_B = 600 \ nm$, so $\frac{1}{600} = R \left( \frac{3}{16} \right) \implies R = \frac{16}{1800} \ nm^{-1}$.For the Lyman series, $n_1 = 1$. The third line corresponds to $n_2 = 4$ (since $n_2 = 2, 3, 4, \dots$).$\frac{1}{\lambda_L} = R \left[ \frac{1}{1^2} - \frac{1}{4^2} \right] = R \left[ 1 - \frac{1}{16} \right] = R \left( \frac{15}{16} \right)$.Substituting the value of $R$:$\frac{1}{\lambda_L} = \left( \frac{16}{1800} \right) \left( \frac{15}{16} \right) = \frac{15}{1800} = \frac{1}{120}$.Therefore, $\lambda_L = 120 \ nm$.Since $120 \ nm$ is not among the options, the correct choice is $D$.

The wavelength of the second Balmer line in the hydrogen spectrum is $600 \ nm$. The wavelength for its third line in the Lyman series is:

Similar Questions

If the first line in the Lyman series has wavelength $\lambda$,then the first line in the Balmer series has the wavelength

In hydrogen atom spectra,if the ratio of wavelengths corresponding to the first line of the Lyman series and the first line of the Balmer series is $9 \alpha$,the value of $\alpha$ is

The ratio of momentum of the photons of the 1st and 2nd line of Balmer series of Hydrogen atoms is $\alpha/\beta$. The possible values of $\alpha$ and $\beta$ are:-

Which series of the hydrogen spectrum was observed first?

What is the ratio of the wavelengths of radiations emitted when an electron in a hydrogen atom jumps from the fourth orbit to the second orbit and from the third orbit to the second orbit?

Vedclass Test Series

Exam Paper Generator

Online Exam Module