   Chapter 9, Problem 7CQ

Chapter
Section
Textbook Problem

Water flows along a streamline down a river of constant width (Fig. CQ9.7). Over a short distance the water slows from speed v to v/3. Which of the following can you correctly conclude about the river’s depth? (a) It became deeper by a factor of 32. (b) It became shallower by a factor of 3. (c) It became deeper by a factor of 32. (d) It became shallower by a factor of 32. Figure CQ9.7

To determine
The nature of river’s depth.

Explanation

From equation of continuity,

A1v1=A2v2

• A1 and A2 are the cross-sectional areas.
• v1 and v2 are the speeds

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