A student investigates how the pressure at the base of a liquid column changes with depth. Which graph correctly shows the relationship between pressure p and depth h in a liquid of uniform density?

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Question

A student investigates how the pressure at the base of a liquid column changes with depth. Which graph correctly shows the relationship between pressure p and depth h in a liquid of uniform density?

Accepted Answer

C: A straight line through the origin with positive gradient. — From p = ρgh, pressure is directly proportional to depth h, giving a straight line through the origin with positive gradient equal to ρg. Option A incorrectly suggests a non-linear (curved) relationship. Option B incorrectly suggests pressure is independent of depth. Option D would imply a non-zero pressure at zero depth due to the liquid alone, which contradicts the formula (at h = 0, liquid pressure p = 0).

Answer

A: A curved line with decreasing gradient as depth increases.

Answer

B: A horizontal straight line showing pressure is constant with depth.

Answer

D: A straight line with a positive y-intercept that does not pass through the origin.

Answer

C: A straight line through the origin with positive gradient.

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