Q.
The energy of an electron in the ground state ($n=1$) for $He^+$ ion is $-x$ J, then that for an electron in $n=2$ state for $Be^{3+}$ ion in J is:
A) $-4x$
B) $-\frac49x$
C) $-x$
D) $-\frac x9$
Explanation
[Solution by Claude - not from source] $E\propto\frac{Z^2}{n^2}$. $He^+$ ($n=1$): $4$; $Be^{3+}$ ($n=2$): $\frac{16}{4}=4$. So the energy is $-x$. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.