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PHY 104 Oscillatory Motion Objective Question
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Question

The motion of an oscillating liquid in a U-tube is SHM. Which of the following statements about its period T is true?
Options
A T is directly proportional to the density of the liquid.
B T is inversely proportional to the density of the liquid.
C T is independent of the density of the liquid.
Correct Answer
D T depends on the amplitude of oscillation.
Correct Answer

Option C is the correct answer.

Detailed Explanation

The 'Fluid Oscillating in a U-Tube' section on page 13 and 14 states that 'T is independent of fluid density and tube cross-section, as well as oscillation amplitude.' Equation (36a) and (36b) for the period T, T = 2π√(L/2g) or T = π√(2L/g), do not include the fluid density.

Hint

Although the restoring force in the U-tube depends on density, the total oscillating mass also depends on density, leading to a cancellation in the period formula.

Question Info

Course: PHY 104
Topic: Oscillatory Motion
Type: Objective
Difficulty: Not specified
Question 267 of 947
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