For each natural number k, let `C_k` denotes the circle radius k centimeters in the counter-clockwise direction.After completing its motion on `C_k`, the particle moves to `C_[k+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 the positive direction of the x-axis for first time on the circle `C_n`,then n equal to

For each natural number k. Let C_(k) denotes the circle with radius k centimetres and centre at origin. On the circle C_(k) a particle moves k centrimetres in the counter-clockwise direction . After completing its motion on C_(k) the particle moves to C_(k+1) in the radial direction . The motion of the particle continue 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 C_(n) , then n ="__________________" .

For each natural number k, let C_k denotes the circle with radius k units and centre at the origin. On the circle C_k , a particle moves k units in the counter clockwise direction. After completing its motion on C_k , the particles moves to C_(k + l) , in some well defined manner, where l gt 0 . The motion of the particle continues in this manner. Answer the following question based on above passage : Let l= 1, the particles starts at (1, 0), if the particles crossing the positive direction of the x-axis for the first time on the circle C_n then n is equal to

For each natural number k, let C_k denotes the circle with radius k units and centre at the origin. On the circle C_k , a particle moves k units in the counter clockwise direction. After completing its motion on C_k , the particles moves to C_(k + l) , in some well defined manner, where l gt 0 . The motion of the particle continues in this manner. Answer the following question based on above passage : Let l= 1, the particles starts at (1, 0),If k in N and l = 1, the particles cross x-axis again at

The velocity of a particle moving in the positive direction of the X-axis varies as v= Ksqrt(S) Where K is a positive constant.Draw V-t graph .

The velocity of a particle moving in the positive direction of the X-axis varies as V = KsqrtS where K is a positive constant. Draw V-t graph.