Question

An atom has x energy level, then total number of
lines in its spectrum are:-
(1) 1 + 2 + 3 ............(x + 1)
1) vodo .
(2) 1 + 2 + 3 ...... (x2)
(3) 1 + 2 + 3 ...... (x - 1)
1 )
)
(4) (x + 1) (x + 2) (x + 4)​

Answer 1

Answer:

 1+2+3......(×-1)

Explanation:

Thus the number of lines emitted from nth energy level

= 1 + 2 + 3 +………… n – 1 = ∑(n – 1)

∑n =  n(n+1)/2      

Thus, ∑ (n – 1) = ( n-1) (n-1+1)/2  = (n-1) (n)/2 

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