Atoms and Nuclei Part 2

Since we know that, energy of hydrogen atom is
E=−13.6‌

Z2

n2

where, Z is the atomic number and n is the energy state.
∵ For hydrogen atom, Z=1 and n=1
⇒‌‌E=‌

−13.6(1)2

12

⇒‌‌E=−13.6eV...(i)
For carbon atom, Z=6,n= ?
⇒‌‌E=‌

−13.6(6)2

n2

....(ii)
According to question, carbon has same energy as the ground stat energy of hydrogen atom.
∴ From Eqs. (i) and (ii), we get
−13.6=‌

−13.6(6)2

n2

⇒n2=62
⇒‌‌n=6