Question

do the question of attachment-​

Answer 1

Answer:

It is given that on the circle Ck  of radius kcm, the particle moves kcm.

Therefore, angular displacement (θ) on kth circle is given by-  θ= radius

distance travelled by the particle  =kk  radian=1 radian

Thus angular displacement on each circle is 1 radian.

If the particle crosses the x-axis for the first time on circle Cn​  

, then-

Total angular displacement =n radians, i.e.,

We have to move to the circle with radius n to cover the angle of2πn .

∴n>2π

Since n is the natural number such that n>2π.

∴n=7

Hence the required answer is n=7.

Answer 2

THE REQUIRED ANSWER IS N=7