For each natural number k,let Ck denote the circle with radius k centimetres and centre at the origin .on the circle Ck ,a particle moves k centimetres in the counter clockwise direction .after completing it`s motion on Ck ,the particle moves on CK+1 in the radial direction .the motion of the particle continues in this manner .the particle starts at (1,0).if the particle crosses the positive direction of the x axis for the first time on the circle Cn , then the value of n is equal to(a) 6. (b)5. (c)7. (d)3.

For each natural number k,let Ck denote the circle with radius k centimetres and centre at the origin .on the circle Ck ,a particle moves k centimetres in the counter clockwise direction .after completing it`s motion on Ck ,the particle moves on CK+1 in the radial direction .the motion of the particle continues in this manner .the particle starts at (1,0).if the particle crosses the positive direction of the x axis for the first time on the circle Cn , then the value of n is equal to(a) 6. (b)5. (c)7. (d)3.