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AP EAMCET20228 Jul 2022Morning ShiftPhysicsAtomic PhysicsActual

As the quantum number increases, the difference in energy between consecutive energy levels

Options

  1. ARemains the same
  2. BIncreases
  3. CDecreases
  4. DSometimes increases and sometimes decreases

Correct answer

C. Decreases

Step-by-step solution

E_ n+1 -E_n=13.6 [ 1 n^2 - 1 (n+1)^2 ] aligned & E _ n =13.6 [ ( n +1)^2- n ^2 n ^2( n +1)^2 ] & =13.6 [ 1+2 n n ^2( n +1)^2 ] aligned For large value of n E _ n =13.6 [ 2 n n ^4 ] aligned & 1 n ^3 & So, n E _ n aligned

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