Question

How many spectral lines are emitted by hydrogen atoms excited to nth excited state?

Answer 1

Explanation:

Number of spectral lines that appear in hydrogen spectrum when an electron jumps from nth energy level = n (n-1)/2

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Answer 2

Spectral lines are emitted by hydrogen atoms excited to nth excited state are :

• Let hydrogen be excited from n1 state to n2 state

• Spectral lines emission for this excitation is given by formula

• No. of spectral lines = ( n2 - n1 )×( n2 - n1 - 1 ) / 2

• We are given that hydrogen is excited from ground state to nth excited state

Therefore, n1 = 0 and n2 = n

• We get,

No. of spectral lines, N = ( n - 0 )×( n - 0 - 1 ) / 2

• N = n×( n - 1 ) / 2