What type of lens from the following would you have in your magnifying lens to read a page in small print?

Options

A. a convex lens of focal length 80 cm
B. a concave lens of focal length 80 cm
C. a concave lens of focal length 4 cm
D. a convex lens of focal length of 4 cm

Answer

To determine the type of lens suitable for a magnifying lens to read small print, we can follow these steps:

### Step 1: Understand the Requirements
When using a magnifying lens, the goal is to magnify the small print so that it can be seen clearly. We need a lens that can create a virtual image that is both magnified and erect (upright).

**Hint:** Think about what kind of image you want to see when using a magnifying lens.

### Step 2: Identify the Type of Lens
The lens that meets the requirement of producing a virtual, erect, and magnified image is a **convex lens**. Convex lenses are known for their ability to magnify objects.

**Hint:** Recall the characteristics of convex lenses and how they interact with light.

### Step 3: Consider the Position of the Object
For a convex lens to create a virtual image, the object (in this case, the small print) must be placed between the optical center of the lens and its focus. This positioning allows the lens to produce a magnified image that appears upright.

**Hint:** Visualize how the placement of an object relative to a lens affects the type of image produced.

### Step 4: Compare Focal Lengths
When choosing a convex lens for magnification, it is important to consider the focal length. The magnification is inversely related to the focal length; therefore, a lens with a shorter focal length will provide greater magnification.

**Hint:** Remember that a smaller focal length means a stronger lens for magnification.

### Step 5: Choose the Best Lens
Given two options for convex lenses, one with a focal length of 80 cm and another with a focal length of 4 cm, the lens with the shorter focal length (4 cm) will provide the maximum magnification. Therefore, the best choice for a magnifying lens to read small print is the lens with a focal length of 4 cm.

**Hint:** Compare the focal lengths and think about which one would give you a clearer and larger image.

### Final Answer
The type of lens you would use in your magnifying lens to read a page in small print is a **convex lens with a focal length of 4 cm**.

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