The first three spectral lines of H -atom in the Balmer series are given λ 1 , λ 2 , λ 3 considering the Bohr atomic model, the wave lengths of first and third spectral lines λ 1 λ 3 are related by a factor of approximately x × 10 - 1 . The value of x , to the nearest…

Question

The first three spectral lines of H -atom in the Balmer series are given &#955; 1 , &#955; 2 , &#955; 3 considering the Bohr atomic model, the wave lengths of first and third spectral lines &#955; 1 &#955; 3 are related by a factor of approximately x &#215; 10 - 1 . The value of x , to the nearest integer, is ________.

Aicharya · Accepted Answer

1 &#955; 1 = R z 2 1 2 2 - 1 3 2 1 &#955; 1 = R z 2 5 36 . . . ( i ) For 3 rd line 1 &#955; 3 = R z 2 1 2 2 - 1 5 2 1 &#955; 3 = R z 2 21 100 . . . ( ii ) ( ii ) + ( i ) &#955; 1 &#955; 3 = 21 100 &#215; 36 5 = 1 . 512 = 15 . 12 &#215; 10 - 1 x &#8776; 15

The first three spectral lines of H -atom in the Balmer series are given λ 1 , λ 2 , λ 3…

Solution

The first three spectral lines of H -atom in the Balmer series are given &#955; 1 , &#955; 2 , &#955; 3…

Solution

The first three spectral lines of H -atom in the Balmer series are given λ 1 , λ 2 , λ 3…