---
title: "A large, open-top cylindrical tank is filled with an ideal fluid to a constant height. A small hole is drilled in the side of the tank at a depth d below the surface of the fluid, and the fluid exits the hole with a speed v1. The first hole is then sealed, and a second small hole is drilled at a depth 4d below the surface of the fluid, resulting in an exit speed v2. What is the ratio v2/v1 of the exit speeds?"
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url: "https://nerd-notes.com/ubq/112313/"
date_modified: "2026-04-23T01:42:20+00:00"
---

# A large, open-top cylindrical tank is filled with an ideal fluid to a constant height. A small hole is drilled in the side of the tank at a depth d below the surface of the fluid, and the fluid exits the hole with a speed v1. The first hole is then sealed, and a second small hole is drilled at a depth 4d below the surface of the fluid, resulting in an exit speed v2. What is the ratio v2/v1 of the exit speeds?

A large, open-top cylindrical tank is filled with an ideal fluid to a constant height. A small hole is drilled in the side of the tank at a depth d below the surface of the fluid, and the fluid exits the hole with a speed v1. The first hole is then sealed, and a second small hole is drilled at a depth 4d below the surface of the fluid, resulting in an exit speed v2. What is the ratio v2/v1 of the exit speeds?

![A tall vertical tank filled with water. The water surface is open to the air at the top. Two horizontal dashed lines indicate depths. The first dashed line is at depth d from the surface, pointing to a small hole in the side from which a stream of water emerges horizontally. The second dashed line is at depth 4d from the surface, pointing to another small hole from which a second stream of water emerges horizontally, traveling a further horizontal distance than the first.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1776908540-YpCmiR.jpg)

- **A.** \( \dfrac{1}{4} \)
- **B.** \( \dfrac{1}{2} \)
- **C.** \( 2 \)
- **D.** \( 4 \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/112313/*