NTA Abhyas JEE Main2020PhysicsAtomic PhysicsPractice
If ∆ r 1 represents the difference in radii of stationary orbits for n = 3 and n = 4 in a hydrogen atom and ∆ r 2 represents the difference in radii of stationary orbits for n = 8 and n = 9 , then the value of ∆ r 1 ∆ r 2 is
Options
- A0.71
- B0.41
- C2.43
- D14.82
Correct answer
B. 0.41
Step-by-step solution
Use the relationship between the radius of an orbit and quantum number n of that orbit. r 4 - r 3 r 9 - r 8 = r 1 × 4 2 - r 1 × 3 2 r 1 × 9 2 - r 1 × 8 2 = 16 - 9 81 - 64 = 0.41