If the object is moved to a point 3 cm away from the lens. what is the new position, height, nature of the image?
To determine the new position, height, and nature of the image formed by a lens when an object is moved, we need to understand the concepts of lens formula, magnification, and the nature of the image formed by a lens.
1. Lens Formula: The lens formula relates the focal length (f), object distance (u), and image distance (v) using the equation: 1/f = 1/v - 1/u. Here, f can be positive for a converging lens (convex lens) and negative for a diverging lens (concave lens).
2. Magnification (m): The magnification of a lens is given by the formula: m = -v/u. The negative sign indicates that the image formed is inverted.
To calculate the new position, height, and nature of the image, follow these steps:
Step 1: Identify the given information:
- Initial object distance (u) from the lens
- Initial position (v) of the image formed
- Initial height of the object or image
Note: Without the given values, it is impossible to provide specific numerical answers. However, I can explain the steps to calculate them.
Step 2: Use the lens formula to find the initial position (v) of the image:
1/f = 1/v - 1/u
Step 3: Calculate the initial magnification (m) of the image:
m = -v/u
Step 4: Determine the new object distance (u) from the lens. In this case, it is given as 3 cm.
Step 5: Use the lens formula to find the new position (v) of the image:
1/f = 1/v - 1/u
Step 6: Calculate the new magnification (m) of the image:
m = -v/u
Step 7: Determine the new height of the image using the old height and the magnification formula:
New Image Height = Magnification x Old Object Height
Step 8: Analyze the nature of the image:
- If the image distance (v) is positive, the image is real.
- If the image distance (v) is negative, the image is virtual.
- If the magnification (m) is positive, the image is upright.
- If the magnification (m) is negative, the image is inverted.
By following these steps and plugging in the given values, you can find the new position, height, and nature of the image formed when the object is moved.