1. An object at infinity (or rather, very, very far away) is viewed through two consecutive nses. The first lens through which the light passes is a diverging lens with a focal length -1.6 m. The position of the image seen through both lenses combined is the same as the osition of the first lens. The image viewed through just the first lens differs in size from e image viewed through both lenses such that one of these images is 3 times larger than Le other. image seen through both lenses object is far away HI diverging second lens lens d Is the final image upright or inverted, compared to the object's orientation? Explain. Determine whether the second lens needs to be converging or diverging, or whether both types of lenses are possible under the right conditions. Explain.
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.
![### Optical System with Two Lenses
An object at infinity (or rather, very, very far away) is viewed through two consecutive lenses. The first lens through which the light passes is a diverging lens with a focal length of \(-1.6 \, \text{m}\). The position of the image seen through both lenses combined is the same as the position of the first lens. The image viewed through just the first lens differs in size from the image viewed through both lenses such that one of these images is three times larger than the other.
#### Diagram Explanation
The diagram shows two lenses aligned along the optical axis:
1. **Diverging Lens**: On the left, labeled as having a focal length of \(-1.6 \, \text{m}\). An object positioned at infinity on the left of this lens produces an image on its right.
2. **Second Lens**: Positioned at a distance \( x \) to the right of the diverging lens. The nature of this lens is not specified initially.
3. **Image Path and Size**:
- The object, indicated to be very far away, is represented with rays diverging into the first lens.
- After passing through both lenses, the image location coincides with the position of the diverging lens, and its magnification is three times different compared to the first image formed by the diverging lens alone.
### Questions
**a.** Is the final image upright or inverted, compared to the object's orientation? Explain.
**b.** Determine whether the second lens needs to be converging or diverging, or whether both types of lenses are possible under the right conditions. Explain.
**c.** Find the distance that the lenses are separated.
**d.** Find the focal length of the second lens.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F153bfb9c-b05e-4b91-94e3-9e151aaf7f28%2F04b2906f-71b0-4e97-98b7-7b1f9494897b%2Fhj2yi2n_processed.png&w=3840&q=75)
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