Question

the energy of the second bohr orbit in the hydrogen atom is -3.41ev. The energy of the second bohr orbit of He+ ion would be.
a. -1.70
b. -6.82
c. -0.85
d. -13.64

Answer 1

Using the formula E=−13.6z2/n2eVE=−13.6z2/n2eV Where z is atomic no. And n is the no of orbitSo energy of second orbit of he would be −13.6×2×2/2×2=−13.6eV

so option d is correct

Answer 2

Answer:

The correct answer is option d.

Explanation:

An energy if the nth orbit in hydrogen or hydrogen like species is given by:

$E_n=\frac{-13.6\times Z^2}{n^2}$

Z = atom,ic number

n = 0.1,2,3....

The energy of the second Bohr orbit in the hydrogen atom

$E_2=-3.41 eV$

$E_2=\frac{-13.6\times 1^2}{2^2}=-3.41 eV$

The energy of the second Bohr orbit of $He^+$ ion would be:

$E_2'=\frac{-13.6\times 2^2}{2^2}=4\times \frac{-13.6}{2^2}=4\times (-3.41 eV)=-13.64 eV$

Hence, the correct answer is option d.