14) Select two transition in hydrogen spectrum for which the wave number ration is 108:7.
$A) 2 \to 1 : 3 \to 1 B) 2 \to 1, 4 \to 3 C) 2 \to 1, 5 \to 4 D) 2 \to 1, 4 \to 1$

Question

14) Select two transition in hydrogen spectrum for which the wave
number ration is 108:7
A )   2 → 1 : 3 → 1 B )   2 → 1 ,
  4 → 3 C )   2 → 1 ,   5 → 4 D )
  2 → 1 ,   4 → 1

Yasodharan · Accepted Answer

Dear Student,

The transition of hydrogen spectrum for wave number ratio of 108:7
is computed and expressed below,

Calculation using four series

v=R[1n12-1n22]First Lyman series, v=R[112-122]=34RFirst Balmer series,v=R[122-132]=556RFirst Paschen series,v=R[132-142]=7144RFirst Bracket series,v=R[142-152]=9400RThe  given ratio 180:7 suits well with Lyman:Paschen series Lyman:Paschen =34:7144=3:736=108:7Hence the answer is Option (B) 2→1, 4→3
Regards

14) Select two transition in hydrogen spectrum for which the wave number ration is 108:7. A ) 2 → 1 : 3 → 1 B ) 2 → 1 , 4 → 3 C ) 2 → 1 , 5 → 4 D ) 2 → 1 , 4 → 1

14) Select two transition in hydrogen spectrum for which the wave number ration is 108:7.
$A) 2 \to 1 : 3 \to 1 B) 2 \to 1, 4 \to 3 C) 2 \to 1, 5 \to 4 D) 2 \to 1, 4 \to 1$