The correct option is D 8
As per the question, for H atom
rn+2−rn=rn−2 ...(i)
where rn=Radius of Bohr's nth energy level
As per Bohr's theory, rn=0.529n2Z
For H atom, rn=0.529 n2
Similiarly, rn+2=0.529(n+2)2
rn−2=0.529(n−2)2
Putting these values in equation (i), we get
0.529(n+2)2−0.529 n2=0.529(n−2)2
⇒(n+2)2−n2=(n−2)2
⇒n2−8n=0
⇒n(n−8)=0
⇒n=0 or n=8
Since n=0 is not possible, the only possible value is n=8.