Question

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

Answer 1

Answer:

1 + 2 +x - 1)

An atom has x energy level then total number of lines in its spectrum are 1 + 2 + 3.(x - 1).

For example:

When an atom has 5 energy levels, the total number of lines in its spectrum will be 1+2+3+4=10.

These lines corresponds to following transitions.

5→1

4→1

3→1

2→1

5→2

4→2

3→2

5→3

4→3

5→4