Find the ratio of the centripetal acceleration of the electron in ground-state He⁺ to that in ground-state H.
Physics · Atomic Structure and X-rays
JEE Advanced Practice

Question

Find the ratio of the centripetal acceleration of the electron in ground-state He⁺ to that in ground-state H.

G1 Physics · Accepted Answer

Step 1: For hydrogen-like ground states, v∝Z and r∝1/Z, so centripetal acceleration a=v²/r∝Z³. For He⁺, Z=2, hence aHe/aH=2³=8.