Question

If the surfaces shown in figure are frictionless, the ratio of T₁ and T₂ is _______ 

(A) √3 : 2 

(B) 1 : √3 

(C) 1 : 5 

(D) 5 : 1

Answer 1

Correct option: (D) 5 : 1

Explanation:

T₂ = m₁ a

T₁ = (m₁ + m₂)a

(T₂ / T₁) = {m₁ / (m₁ + m₂)} = {3 / (3 + 12)} = (1 / 5)

hence T₁ : T₂ = 5 : 1