First slide

Bohr's atom model

Question

The electron in a hydrogen atom jumps from the ground state to the higher energy state where its velocity is reduced to one-third of its initial value. If the radius of the orbit in the ground state is r, the radius of new orbit will be

Moderate

A

3r
B

9r
C

$\frac{r}{3}$
D

$\frac{r}{9}$

Solution

$v \propto \frac{1}{n}$
Since v is reduced to one-third, therefore n = 3.
Now, $r \propto n^{2}$
So, radius of new orbit will be 9r.

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