Two thin converging lenses are placed on a common axis, so that the centre of one of them coincides with the focus of the other. An object is placed at a distance twice the focal length from the left hand lens. Where will its image be? What is the lateral magnification? The focal of each lens is f.

Explanation

To solve the problem, we need to analyze the system of two converging lenses step by step. Here’s the detailed solution:

### Step 1: Understand the Setup
We have two thin converging lenses placed along a common axis. The first lens (L1) has its focal length denoted as \( f \). The second lens (L2) is positioned such that its center coincides with the focus of the first lens. An object is placed at a distance of \( 2f \) from the first lens.

### Step 2: Determine the Image Formed by the First Lens
Using the lens formula:
\[
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