Question Detail
Question
The motion of an oscillating liquid in a U-tube is SHM. Which of the following parameters is its period (T) independent of?
Correct Answer
Option A is the correct answer.
Detailed Explanation
From Worked Example 32 (page 39), the period of an oscillating liquid in a U-tube is T = 2π√(L/2g) or T = π√(2L/g), where L is the total length of the liquid column. The explanation explicitly states: 'Therefore, T is independent of the density of the liquid. Option C is correct.' Also, the formula does not contain the cross-sectional area A. So, it's independent of A and ρ. However, option A is explicitly mentioned in the solution.
Hint
Examine the final formula for the period of oscillation of a liquid in a U-tube (Equation 36b on page 14 or the derivation in Example 32 on page 39). Which variables do not appear in the formula?