Which of the following statements are correct? (A) Ratio of time taken from x0 to mean and from mean to left most position is 1 : 1

Question

An elastic string of unit cross–sectional area and natural length (a + b) where a > b and modulii of elasticity Y has a particle of mass m attached to it at a distance a from one end , which is fixed to a point A of a smooth horizontal plane. The other end of the string is fixed to a point B so that string is just unstretched. If particle is displaced towards right by distance x₀ and then released,

Which of the following statements are correct?

(A) Ratio of time taken from x₀ to mean and from mean to left most position is 1 : 1

(B) Ratio of time taken from x₀ to mean and from mean to left most position is √a : √b

(C) Maximum velocity of the particle is v = √(y/am)x₀

(D) When particle is at left most position, potential energy of the system is 1/2(k₁)x₀²  where k₁ = Y/a 

Answer 1

Correct option (B) (C) (D)

Explanation: