An Open U-Tube Has Water to a Height H on Both

question 47

Multiple Choice

An open U-tube has water to a height h on both sides, as shown. The cross-sectional area of the left-hand tube is A₁ = 1.50 cm², and that of the right-hand tube is A₂ = 0.50 cm². A light oil (which does not mix with water) with a density of 0.83 g/cm³ is added to the right-hand side. When equilibrium is reached, which of the following is correct?

• A) The level on the right-hand side is higher than that on the left.
• B) The level on the right-hand side is lower than that on the left.
• C) The levels of the two sides are the same.
• D) The difference in the heights depends on A₁ and A₂.
• E) None of these is correct.

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Definitions:

RMS

Root Mean Square, a statistical measure of the magnitude of a varying quantity, commonly used to calculate the effective value of an alternating current.

Peak

The highest point or maximum value in a cycle, often used in the context of waves or signals.

V

Typically represents voltage in electrical contexts, indicating the electrical potential difference between two points.

Cycle

In electrical terms, a cycle refers to one complete oscillation or wave of alternating current or voltage.