Considering the Bohr model of hydrogen like atoms, the ratio of the radius of
orbit of the electron in
and
is
Text Solution
Verified by ExpertsThe correct answer is:
B
In the Bohr model for a hydrogen-like atom, the radius of the
orbit is given by

where:
is the principal quantum number,
is the Bohr radius, and
is the atomic number (the effective nuclear charge).
For the
orbit
:
For
(where
):

For
(where
):

Now, the ratio of the radius of the 5th orbit of
to that of
is:

Thus, the ratio is
.
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