Calculate the two longest wavelength of the Balmer series of

garcialdaria2zky1

garcialdaria2zky1

Answered question

2022-05-09

Calculate the two longest wavelength of the Balmer series of triply ionized berillium (Z=4)

Answer & Explanation

Darion Sexton

Darion Sexton

Beginner2022-05-10Added 14 answers

Two longest wavelength of Balmer series of Triply ionized Beryllium (z=4) B e + 3
Energy for n level, Wavelength for Balmer series is given by
1 λ = R z 2 ( 1 2 2 1 n 2 )
Here n=3, 4 and R = 1.09 × 10 7   m 1
z = 4
For longest wavelength λ 1 ( n = 3 )
1 λ 1 = R z 2 ( 1 2 2 1 n 2 ) 1 λ 1 = 1.09 × 10 7 × 4 2 ( 1 2 2 1 3 2 ) λ 1 = 4.12 × 10 8 m
For longest wavelength λ 2 ( n = 4 )
1 λ 2 = R z 2 ( 1 2 2 1 n 2 ) 1 λ 1 = 1.09 × 10 7 × 4 2 ( 1 2 2 1 4 2 ) λ 2 = 3.05 × 10 8 m

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