Which electron transition in a hydrogen atom requires the largest… - Vidyadip

MCQ

Which electron transition in a hydrogen atom requires the largest amount of energy :

✓
From $n = 1$ to $n = 2$
B
From $n = 2$ to $n = 3$
C
From $n = \infty$ to $n = 1$
D
From $n = 3$ to $n = 5$

✓

Answer

Correct option: A.

From $n = 1$ to $n = 2$

a
The electron transition from $n=1$ to $n=2$ in hydrogen atom will require largest amount of energy.

The amount of energy is directly proportional to

$\left[\frac{1}{ n _1^2}-\frac{1}{ n _2^2}\right]$

This difference is maximum for the electron transition from $n=1$ to $n=2$

$\left[\frac{1}{1^2}-\frac{1}{2^2}\right]=0.75$

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