Question

the wavelength of a certain line in balmer series is observed to be 4341 angstrom to what of n does this corresponsd

Answer 1

We will use the following conversion formula :

1 nm = 10 Angstroms

We will then do the calculations as follows :

1 nm = 10 Angstroms

? = 4341 Angstroms

Cross multiplyin:

(4341 / 10) × 1 = 434.1 n

Answer 2

Answer: The value of n corresponds to 5.

Explanation: Using Rydberg's Equation:

$\frac{1}{\lambda }=R_H\left(\frac{1}{n_i^2}-\frac{1}{n_f^2} \right )$

Where,

$\lambda$ = Wavelength of radiation = $4341\AA =4.341\times 10^{-7}m$

$R_H$ = Rydberg's Constant = $1.09737\times 10^7m^{-1}$

$n_i$ = Lower energy level = 2 (Balmer series)

$n_f$ = Higher energy level = ?

Putting the values, in above equation, we get

$\frac{1}{4.341\times 10^{-7}m}=1.09737\times 10^7m^{-1}\left(\frac{1}{2^2}-\frac{1}{n_f^2} \right)$

$n_f=5$

The value of n will correspond to 5.