An illuminated object is placed on the principal axis of a converging lens so that real image is formed on the other side of the lens. If the object is shifted a little,

Options

A. 1.the image will be shifted simultaneously with the object
B. 2.the image will be shifted a little later than the object
C. 3.the image will be shifted as little earlier than the object
D. 4.to image will not shift

Answer

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have a converging lens (convex lens) placed on the principal axis. An illuminated object is positioned in front of the lens, which produces a real image on the opposite side of the lens.

2. **Behavior of Light Rays**:
- When light rays from the object pass through the lens, they converge to form an image. The position of the image depends on the distance of the object from the lens.

3. **Shifting the Object**:
- If the object is shifted slightly (either closer to or further from the lens), we need to analyze how this affects the image position.

4. **Speed of Light**:
- The speed of light is extremely fast (approximately \(3 \times 10^8\) m/s). This means that any change in the position of the object will result in an almost instantaneous change in the position of the image.

5. **Image Shift**:
- Since the speed of light is so high, when the object is moved slightly, the rays of light will still travel through the lens and converge to form an image almost immediately after the object is shifted. This means that the image will also shift almost simultaneously with the object.

6. **Conclusion**:
- Therefore, if the object is shifted a little, the image will also shift simultaneously with the object. This leads us to conclude that the correct answer is that the image will be shifted simultaneously with the object.

### Final Answer:
The image will be shifted simultaneously with the object.

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