$A$ bike moving at a speed of $60 \; km/hr$ takes a turn with a radius of $0.1 \; km$. At what angle with the vertical should the bike be tilted to avoid slipping?

• A
  $\frac{{{{(60)}^2}}}{{0.1}}$
• B
  ${\tan ^{ - 1}}\left[ {\frac{{{{(50/3)}^2}}}{{100 \times 9.8}}} \right]$
• C
  ${\tan ^{ - 1}}\left[ {\frac{{100 \times 9.8}}{{{{(50/3)}^2}}}} \right]$
• D
  ${\tan ^{ - 1}}\sqrt {60 \times 0.1 \times 9.8} $