Question 490: Atoms & Nuclei

Question

Some energy levels of a molecule are shown in the figure with their wavelengths of transitions. Then :

Accepted Answer

$$\begin{aligned}
& h \frac{c}{\lambda_1}=\frac{-5 E}{2}+4 E=\frac{3}{2} E \quad 	ext{.... (1)}\
& h \frac{c}{\lambda_2}=-2 E+3 E=E \quad 	ext{.... (2)}\
& h \frac{c}{\lambda_3}=-2 E+4 E=2 E \quad 	ext{.... (3)}
\end{aligned}$$
Comparing (2) and (3)
$$\frac{1}{\lambda_3}=\frac{2}{\lambda_2} \quad \lambda_2=2 \lambda_3$$
Comparing (1) and (2)
$$3 \lambda_1=2 \lambda_2 \quad \lambda_1<\lambda_2$$

Answer

$$\lambda_3>\lambda_2, \lambda_1=2 \lambda_2$$

Answer

$$\lambda_3>\lambda_2, \lambda_1=4 \lambda_2$$

Answer

$$\lambda_1>\lambda_2, \lambda_2=2 \lambda_3$$

Answer

$$\lambda_2>\lambda_1, \lambda_2=2 \lambda_3$$

Atoms & Nuclei

Some energy levels of a molecule are shown in the figure with their wavelengths of transitions. Then :

Choose the correct answer: