The top in figure has a moment of inertia of 4.00 x ${10}^{-4}\mathrm{kg}.{\mathrm{m}}^2$ and is initially at rest. It is free to rotate about the stationary axis AA'. A string, wrapped around a peg along the axis of the top, is pulled in such a manner as to maintain a constant tension of 2.5 N. If the string does not slip while it is unwound from the peg, what is the angular speed of the top after 80.0 cm of string has been pulled off the peg?

• A

  75 rad/s

• B

  50 rad/s

• C

  125 rad/s

• D

  100 rad/s