Question

A lens produces a real imag eof a real object.

If lens 1 from part d were placed in exactly the same location as lens 2, would the image produced by lens 1 be larger or smaller than the image produced by lens 2?

Answer 1

The relative size of the image produced by lens 1 compared to lens 2 would depend on their respective focal lengths and how they are positioned in relation to the object. A lens with a shorter focal length will typically create a larger magnification. For virtual images, the magnification will result in a larger, upright image while real images can vary depending on distance, but generally are inverted when projected.

Step-by-step explanation:

The question is asking whether an image produced by one lens (lens 1) would be larger or smaller than an image produced by another lens (lens 2) if placed at the same location. In general, image size can be affected by factors such as focal length and distance of the object from the lens.

Typically, a lens that has a shorter focal length (assuming equal object distances and other conditions) will produce a larger magnification of an image, because of the greater bending of light rays passing through it, compared to a lens with a longer focal length.

Based on the information provided, if lens 1 is positioned within the focal length of the lens, it will create a virtual image that is upright and larger than the object. This type of virtual image, which cannot be projected onto a screen, is useful in devices like magnifying glasses or the eyepiece of a microscope, where the image is magnified for closer inspection. If lens 2 is designed to create virtual images as well, the size of the image produced by lens 1 compared to lens 2 would depend on their respective focal lengths and positioning relative to the object and the observer's eye.

On the other hand, if lens 1 happens to be of the sort that creates real images (case 1 images), which occur when the object is farther than the focal length of the lens, the comparison again depends on the specific focal lengths of lenses 1 and 2 and their configurations. Real images are inverted and can be projected onto a screen. In a microscope, the objective lens typically produces a case 1 image, which is then magnified by the eyepiece.