Answer :
Answer:
To construct a ray diagram for a convex lens and locate the image of an object placed between the focal point ('f') and twice the focal length ('2f'), we typically use the following two principal rays:
1. **Ray parallel to the principal axis:**
- This ray travels parallel to the principal axis before refraction.
- After refraction, it passes through the focal point on the opposite side of the lens.
2. **Ray passing through the focal point before the lens:**
- This ray passes through the focal point of the lens before it reaches the lens.
- After refraction, it travels parallel to the principal axis.
Now, let's apply these rays to locate the image step by step:
### Ray Diagram Steps:
1. **Object Placement:**
- Place the object (say an arrow) between the focal point 'f' and twice the focal length '2f' on the principal axis of the convex lens.
2. **Ray 1: Parallel Ray**
- Draw a ray from the top of the object parallel to the principal axis towards the lens.
- After refraction by the convex lens, this ray will pass through the focal point on the opposite side of the lens.
3. **Ray 2: Ray through Focal Point**
- Draw another ray from the top of the object that passes through the focal point on the same side of the lens before reaching the lens.
- This ray will refract and travel parallel to the principal axis after passing through the lens.
4. **Locate Image Position:**
- The intersection point of these two refracted rays (extended if necessary) will give the position of the image formed by the convex lens.
- This image will be located beyond '2f' on the opposite side of the lens from where the object is placed.
### Image Characteristics:
- The image formed will be real, inverted, and diminished (smaller in size compared to the object).
- It will be located between the focal point 'f' and twice the focal length '2f' on the opposite side of the lens.
By using these two principal rays and understanding their paths after refraction through the convex lens, you can effectively locate and describe the image formation for an object placed between 'f' and '2f'.
Explanation:
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Answer:
To construct a ray diagram for a convex lens, we typically use two principal rays:
1. **Parallel Ray (R1)**: A ray of light that is initially parallel to the principal axis before encountering the lens.
- After refraction by the convex lens, this ray will pass through the focal point on the opposite side of the lens (F').
2. **Central Ray (R2)**: A ray of light that passes through the center of the lens.
- This ray will continue in a straight line without deviating from its path, since it passes through the center of curvature (C) of the lens.
**Steps to locate the image of an object placed between 'f' and '2f' of a convex lens:**
- Place the object (denoted by an arrow pointing towards the lens) between the focal point (F) and twice the focal length (2f) on the principal axis.
- Draw two rays starting from the tip of the object arrow:
1. **Parallel Ray (R1)**: Draw a line parallel to the principal axis towards the lens. After refraction, this ray will pass through the focal point on the opposite side of the lens (F').
2. **Central Ray (R2)**: Draw a line passing through the center of the lens (which is also the point where the object arrow is placed). This ray will continue straight through without bending.
- Locate the point where these two refracted rays intersect after passing through or appearing to diverge from the lens. This intersection point represents the tip of the image arrow formed by the lens.
- Draw the image arrow from this intersection point back towards the lens, denoting the direction in which the image appears.
- The image formed by the convex lens will be virtual (if the object is between 'f' and '2f'), upright, and located beyond 2f on the opposite side of the lens from the object.
This methodical approach using the two principal rays helps in accurately predicting the position and characteristics of the image formed by the convex lens.