Question

The ratio of areas within the electron orbits for the first exited state to the ground state for the hydrogen atom is

Answer 1

Explanation:

Radius of Bohr's orbit in hydrogen and hydrogen like species can be calculated by using the following formula.

radius of bohr's orbit

Where

n = prinicipal quantum number of orbit.

Z = atomic number

Now compare the n2/Z values of orbits for given species with that of hydrogen's first orbit to get the answer.

Solution:

1st orbit of H atom Option 1

n=2, Li2+ Option 2

n=2, Be3+ Option 3

n=2, He+ Option 4

n=3, Li2+

n = 1 2 2 2 3

Z = 1 3 4 2 3

n2/Z 12/1 = 1 22/3 = 4/3 22/4 = 1 22/2 = 2 32/3 = 3