JEE Main 20199 AprilMorning Shift
- Exam
- JEE Main
- Year
- 2019
- Date
- 9 April
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Atomic Physics
JEE Main 2019 · 9 April · Morning Shift · Physics · Atomic Physics
Taking the wavelength of first Balmer line in hydrogen spectrum ( n...
Taking the wavelength of first Balmer line in hydrogen spectrum to as , the wavelength of the Balmer line to will be :
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
From Rydberg’s equation,
R\left(\dfrac{1}{{n}^{2}} - \dfrac{1}{{n}_{2}^{2}}\right)\dfrac{1}{660 \times {10}^{- 9}} =
R\left(\dfrac{1}{{2}^{2}} - \dfrac{1}{{4}^{2}}\right)\dfrac{\lambda}{600 \times {10}^{- 9}} = \dfrac{5}{9 \times 4} \times \dfrac{16 \times 4}{12}\lambda = 488.9nm
R\left(\dfrac{1}{{n}^{2}} - \dfrac{1}{{n}_{2}^{2}}\right)\dfrac{1}{660 \times {10}^{- 9}} =
R\left(\dfrac{1}{{2}^{2}} - \dfrac{1}{{4}^{2}}\right)\dfrac{\lambda}{600 \times {10}^{- 9}} = \dfrac{5}{9 \times 4} \times \dfrac{16 \times 4}{12}\lambda = 488.9nm