Question

A closed organ pipe of length L and an open organ pipe contain gases of densities ρ₁ and ρ₂ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. What is the length of the open organ pipe? 

(A) (4L / 3) √(ρ₁ / ρ₂) 

(B) (L/3) 

(C) (4L / 3) √(ρ₂ / ρ₁) 

(D) (4L / 3)

Answer 1

The correct option is  (A) (4L / 3) √(ρ₁ / ρ₂).

Explanation:

Both piper vibrate in first overtone.