# Object Beneath the Water Problem

• x31fighter
In summary, using the equation for apparent depth, it was found that the logo appears to be 2.96 cm beneath the top surface of the water. When taking into account the additional 2.15 cm of water above the block, the logo appears to be 5.11 cm from the top surface of the water.
x31fighter

## Homework Statement

A small logo is embedded in a thick block of transparent material (n = 1.81), 4.03 cm beneath the top surface of the block. The block is put under water (n = 1.333), so there is 2.15 cm of water above the top surface of the block. The logo is viewed from directly above by an observer in air. How far beneath the top surface of the water does the logo appear to be?

## Homework Equations

apparent depth = d ((n_2)/(n_1))

## The Attempt at a Solution

First was 4.03(1.33/215) it was wrong.

For the block in water I used n2/n1 = real/apparent depth.
n2 is the block, n1 is the water. I got 2.96cm as the point in the block from which the light appears to come from into the water.
You can now take this point to be at a depth of 2.15 + 2.96 in WATER
then do n2/n1 = real/ apparent again ( I got 4.58cm from water surface)

## What is the "Object Beneath the Water Problem"?

The "Object Beneath the Water Problem" refers to the challenge of detecting and identifying objects that are submerged in bodies of water, such as lakes, rivers, and oceans.

## Why is the "Object Beneath the Water Problem" important?

The ability to accurately and efficiently detect and identify objects beneath the water's surface is crucial for a variety of reasons, including safety, environmental monitoring, and resource management.

## What are some methods used to solve the "Object Beneath the Water Problem"?

Some common methods used to address the "Object Beneath the Water Problem" include sonar technology, underwater cameras, and remotely operated vehicles (ROVs). These methods allow for the collection of data and images that can be used to identify and locate objects beneath the water.

## What are the challenges associated with solving the "Object Beneath the Water Problem"?

The "Object Beneath the Water Problem" presents several challenges, including the distortion of images and data caused by light absorption and scattering in water, as well as the difficulty of navigating and operating equipment in underwater environments.

## What are some potential applications for solving the "Object Beneath the Water Problem"?

The ability to effectively detect and identify objects beneath the water's surface has numerous potential applications, such as search and rescue operations, underwater mapping and surveying, and the monitoring of marine life and habitats.

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