What would be the change in tangential velocity of an electron, if it

1.	What would be the change in tangential velocity of an electron, if it remains in same orbit and electronic charge is doubledHint:if v is proportional to square root of charge
Answer» ANSWER: $(\sqrt{<klux>2</klux>}-1)v$ Explanation: 1) We know that, Columbic force which PROVIDES centripetal acceleration to the electron is proportional to charge q of moving particle. (Here electron ) And centripetal acceleration is proportional to square of its velocity. 2) Moving swiftly to equations, we get $F_c \propto q\\ \\=>v^2 \propto q \\ =>v \propto \sqrt{q}$ 3) If charge gets doubled, Then, We have, v_i = INITIAL tangential velocity v_f = final tangential velocity $\frac{v_f}{v_i}=\frac{\sqrt{2q}}{\sqrt{q}}\\ \\=>v_f = \sqrt{2}v_i$ CHANGE in tangential velocity, $\Delta v=v_f-v_i\\ \\ =(\sqrt{2}-1)v_i$