Question

the radii of two of first four bohr orbits of hydrogen atom are in ratio of 1 is to 4.the energy difference between them may be​

Answer 1

Answer:

As we know,

r

n

∝n

2

r

n

1

r

n

2

=

1

4

=2

2

/1

1

=4

2

/2

2

so

The two orbits are either I and II or II and IV

Also, we know that,

E

n

∝−Z

2

/n

2

and E

n

=−13.6×Z

2

/n

2

Thus, E

2

−E

1

=

4

−13.6

+13.6=10.2eV

and E

4

−E

2

=

16

−13.6

+

4

13.6

=2.55eV