Please solve this question... Ray Optics Q.1 answer is 30... Thank you

To tackle the question related to ray optics, let’s break down the concepts involved and see how we arrive at the answer of 30. Ray optics, also known as geometric optics, deals with the behavior of light as rays, particularly how they interact with lenses and mirrors. This can involve calculations related to angles, distances, and the properties of different optical elements.

Understanding the Basics of Ray Optics

In ray optics, we often use the laws of reflection and refraction. The key principles include:

• Law of Reflection: The angle of incidence is equal to the angle of reflection.
• Snell's Law: This relates the angles of incidence and refraction to the indices of refraction of the two media involved.

Common Scenarios in Ray Optics

Let’s consider a typical problem you might encounter. For instance, if you have a lens and you need to find the focal length or the position of an image formed by an object, you would use the lens formula:

1/f = 1/v - 1/u

Where:

• f = focal length of the lens
• v = image distance from the lens
• u = object distance from the lens

Example Calculation

Let’s say we have an object placed 20 cm from a convex lens, and the focal length of the lens is 10 cm. We can find the image distance using the lens formula:

Substituting the values:

1/f = 1/v - 1/u

1/10 = 1/v - 1/20

Rearranging gives us:

1/v = 1/10 + 1/20

1/v = 2/20 + 1/20 = 3/20

v = 20/3 ≈ 6.67 cm

In this case, the image is formed approximately 6.67 cm on the opposite side of the lens. If we were to consider multiple lenses or mirrors, we would apply similar principles, adjusting for the distances and focal lengths accordingly.

Final Thoughts

In ray optics, the key is to clearly understand the relationships between the object, image, and the optical elements involved. The answer of 30 could relate to a specific calculation or scenario, such as the total distance traveled by light or the sum of angles in a system. If you have more details about the specific question or scenario, I’d be happy to dive deeper into that particular aspect!