Statement $I :$ $A$ cyclist is moving on an unbanked road with a speed of $7 \, km/h$ and takes a sharp circular turn along a path of radius $2 \, m$ without reducing the speed. The static friction coefficient is $0.2$. The cyclist will not slip and pass the curve $(g = 9.8 \, m/s^2)$.
Statement $II :$ If the road is banked at an angle of $45^{\circ}$,the cyclist can cross the curve of $2 \, m$ radius with a speed of $18.5 \, km/h$ without slipping.

• A
  Statement $I$ is incorrect and statement $II$ is correct.
• B
  Statement $I$ is correct and statement $II$ is incorrect.
• C
  Both statement $I$ and statement $II$ are false.
• D
  Both statement $I$ and statement $II$ are true.