When an electron jumps from the orbit n = 2 to n = 4, then wavelength of the radiations absorbed will be (R is Rydberg's constant).

Question

When an electron jumps from the orbit n = 2 to n = 4, then wavelength of the radiations absorbed will be (R is Rydberg's constant). (A)  (16/3R) (B)  (16/5R) (C)  (5R/16) (D)  (3R/16)

Tardigrade Admin · Accepted Answer

Wavelength, (1/λ) =R[(1/n12)-(1/n22)] (1/λ) =R[(1/(2)2)-(1/(4)2)] (1/λ) =R[(1/4)-(1/16)] (1/λ) =R[(4-1/16)] (1/λ) =(3 R/16) λ =(16/3 R)

Q. When an electron jumps from the orbit $n = 2$ to $n = 4$ , then wavelength of the radiations absorbed will be ( $R$ is Rydberg's constant).

$\frac{16}{3 R}$

$\frac{16}{5 R}$

$\frac{5 R}{16}$

$\frac{3 R}{16}$

Wavelength, $\frac{1}{λ} = R [\frac{1}{n _{1}^{2}} - \frac{1}{n _{2}^{2}}]$
$\frac{1}{λ} = R [\frac{1}{( 2 ) ^{2}} - \frac{1}{( 4 ) ^{2}}]$
$\frac{1}{λ} = R [\frac{1}{4} - \frac{1}{16}]$
$\frac{1}{λ} = R [\frac{4 - 1}{16}]$
$\frac{1}{λ} = \frac{3 R}{16}$
$λ = \frac{16}{3 R}$

Q. When an electron jumps from the orbit n=2 to n=4, then wavelength of the radiations absorbed will be (R is Rydberg's constant).

3R16​

5R16​

165R​

163R​