When two lenses are used in combination, the first one forms an image that then serves as the object for the second lens. The magnification of the combination is the ratio of the height of the final image to the height of the object. A 1.60-cm-tall object is 59.0 cm to the left of a converging lens of focal length 40.0 cm. A second converging lens, this one having a focal length of 60.0 cm, is located 300 cm to the right of the first lens along the same optic axis. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of An image of an image. Part A Find the location and height of the image (call it I₁) formed by the lens with a focal length of 40.0 cm. Enter your answers in centimeters separated with a comma. [ΕΑΣΦΗ s₁.lv 120,2.40 Submit 3 Previous Answers Request Answer ? cm
Ray Optics
Optics is the study of light in the field of physics. It refers to the study and properties of light. Optical phenomena can be classified into three categories: ray optics, wave optics, and quantum optics. Geometrical optics, also known as ray optics, is an optics model that explains light propagation using rays. In an optical device, a ray is a direction along which light energy is transmitted from one point to another. Geometric optics assumes that waves (rays) move in straight lines before they reach a surface. When a ray collides with a surface, it can bounce back (reflect) or bend (refract), but it continues in a straight line. The laws of reflection and refraction are the fundamental laws of geometrical optics. Light is an electromagnetic wave with a wavelength that falls within the visible spectrum.
Converging Lens
Converging lens, also known as a convex lens, is thinner at the upper and lower edges and thicker at the center. The edges are curved outwards. This lens can converge a beam of parallel rays of light that is coming from outside and focus it on a point on the other side of the lens.
Plano-Convex Lens
To understand the topic well we will first break down the name of the topic, ‘Plano Convex lens’ into three separate words and look at them individually.
Lateral Magnification
In very simple terms, the same object can be viewed in enlarged versions of itself, which we call magnification. To rephrase, magnification is the ability to enlarge the image of an object without physically altering its dimensions and structure. This process is mainly done to get an even more detailed view of the object by scaling up the image. A lot of daily life examples for this can be the use of magnifying glasses, projectors, and microscopes in laboratories. This plays a vital role in the fields of research and development and to some extent even our daily lives; our daily activity of magnifying images and texts on our mobile screen for a better look is nothing other than magnification.
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### Problem Statement (Part A):
**Task:** Find the location and height of the image (\(I_1\)) formed by the lens with a focal length of 40.0 cm.
**Instructions:**
- Enter your answers in centimeters separated with a comma.
**Example Answer Format:**
```plaintext
s'_1, |y'_1| = [location], [height] cm
```
**Provided Answer:**
```
120, 2.40 cm
```
**Interface:**
- There are input fields to enter the calculated values.
- Options: Submit, Previous Answers, Request Answer.
By working through the described problem, students can practice the application of lens equations and the principles of magnification in optics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66642e03-4e4a-4c87-8e6d-75cae92b5ebf%2F4a7af0a8-ded2-4d21-bcfa-6bdde1a10ac5%2Ffyzpkml_processed.png&w=3840&q=75)
![### Part B
#### Question:
\( I_1 \) is now the object for the second lens. Find the location and height of the image produced by the second lens. This is the final image produced by the combination of lenses.
#### Instruction:
Enter your answers in centimeters separated with a comma.
#### Input Box:
There is an input box where you can enter your answer as shown below:
\[
s_2, |y_2| = \underline{ \hspace{5cm}} \; \text{cm}
\]
**Example Entry:**
49.29, 116
#### Provided Answer:
49.29, 116
### Submission
To submit your answer, press the 'Submit' button.
### Additional Options
- **Previous Answers**: Click to review your previous answers.
- **Request Answer**: Click to request the correct answer if you are unable to solve the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66642e03-4e4a-4c87-8e6d-75cae92b5ebf%2F4a7af0a8-ded2-4d21-bcfa-6bdde1a10ac5%2F3xjl3p_processed.png&w=3840&q=75)
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