JEE Main20246 Apr 2024Evening ShiftPhysicsAtomic PhysicsActual
The longest wavelength associated with Paschen series is : (Given R _ H =1.097 10^7 SI unit)
Options
- A3.646 10⁻⁶ ~m
- B1.876 10⁻⁶ ~m
- C2.973 10⁻⁶ ~m
- D1.094 10⁻⁶ ~m
Correct answer
B. 1.876 10⁻⁶ ~m
Step-by-step solution
For longest wavelength in Paschen's series: 1 = R [ 1 n ₁^2 - 1 n ₂^2 ] For longest n ₁=3 n ₂=4 aligned & 1 = R [ 1 (3)^2 - 1 (4)^2 ] & 1 = R [ 1 9 - 1 16 ] & 1 = R [ 16-9 16 9 ] & = 16 9 7 R = 16 9 7 1.097 10^7 & =1.876 10⁻⁶ ~m aligned