An electron of mass 9.1 x 10\(^{-31}\) kg moves with a speed of 2.0 x 10\(^6\) ms\(^{-1}\) round the nucleus of an atom in a Circular path of radius 6.1 x 10(^{11}\) m. Determine the angular speed of the electron.

A.

3.28 x 10\(^{16}\) rad s\(^{-1}\)

B.

8.55 x 10\(^{3}\) rad s\(^{-1}\)

C.

9.11 x 10\(^{13}\) rad s\(^{-1}\)

D.

5.22 x 10\(^{15}\) rad s\(^{-1}\)

Correct answer is A

Angular speed of the electron (W) 

w = \(\frac{Velocity}{Radius} = \frac{V}{R}\)

= \(\frac{2.0 \times 10^6}{6.1 \times 10^{11}}\) 

= 3.28 x 10\(^{16}\) rads\(^{-1}\)