Question

In an atom for the electron to revolve around the nucleus, the necessary centripetal force is obtained from the following force exerted by the nucleus on the electron A motor cycle driver doubles its velocity when he is having a turn. The force exerted outwardly will be A motor cycle driver doubles its velocity when he is having a turn. The force exerted outwardly will be AA motor cycle driver doubles its velocity when he is having a turn. The force exerted outwardly will be

• A. Double
• B. Half
• C. 4 times
• D. $\frac{1}{4}$ times

Answer 1

Answer: (C)

4 times

Answer 2

$F = \frac{mv^{2}}{r}$ $\therefore F \propto v^{2}$ or $\frac{F_{2}}{F_{1}} = \left( \frac{v_{2}}{v_{1}} \right)^{2}$ $= \left( \frac{2v}{v} \right)^{2} = 4$

⇒ $F_{2} = 4F_{1}$