COMEDK2021PhysicsAtomic Physics
If an electron in hydrogen atom jumps from an orbit of level n=3 to an orbit at level n=2 , emitted radiation has a frequency of ( R= Rydberg's constant and c= velocity of light)
Options
- A3 R c 27
- BR c 25
- C8 R c 9
- D5 R c 36
Correct answer
D. 5 R c 36
Step-by-step solution
The frequency of the radiation emitted when an electron jumps from an energy level n₂ to n₁ is given by the Rydberg formula: = R c ( 1 n₁^2 - 1 n₂^2 ) Given n₁ = 2 and n₂ = 3 , substitute these values into the formula: = R c ( 1 2^2 - 1 3^2 ) = R c ( 1 4 - 1 9 ) = R c ( 9 - 4 36 ) = 5 R c 36 Answer: 5 R c 36