A slide projector produces 500 times enlarged image of a slide on a screen 10 m away. Assume that the projector consists of a single convex lens used for magnification. If the screen is moved 2.0 m closer, by what distance should the slide be moved towards or away from the lens so that the image remains focused on the screen ? What is the magnification in this case ?

Explanation

To solve the problem step by step, we will follow the principles of optics, particularly using the lens formula and the magnification formula.

### Step 1: Identify the given values
- Initial magnification (M) = 500
- Initial image distance (V) = 10 m
- The screen is moved 2 m closer.

### Step 2: Calculate the initial object distance (U)
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