A heavy small sized sphere is suspended by a string of length 𝑙. The sphere is rotated uniformly in a horizontal circle with the string making an angle θ with the vertical. The time period of this conical pendulum is

Question : A heavy small sized sphere is suspended by a string of length 𝑙. The sphere is rotated uniformly in a horizontal circle with the string making an angle θ with the vertical. The time period of this conical pendulum is

(A) $2\pi \sqrt{\dfrac{2\tan \theta }{g}}$

(B) $2\pi \sqrt{\dfrac{2\sin \theta }{g}}$

(C) $2\pi \sqrt{\dfrac{l}{g}}$

(D) $2\pi \sqrt{\dfrac{2\cos \theta }{g}}$