Question

What type of image is formed by a lens if m = 3.0?

A. A virtual image that is smaller than the object
B. A virtual image that is larger than the object
C. A real image that is larger than the object
D. A real image that is smaller than the object

Answer 1

B. A virtual image that is larger than the object

Step-by-step explanation:

Quiz verified

Answer 2

B. A virtual image that is larger than the object

Step-by-step explanation:

The magnification of a lens is given by

`m=(h_i)/(h_o)=-(d_i)/(d_o)` (1)

where

`h_i` is the size of the image

`h_o` is the size of the object

`d_i` is the distance of the image from the lens

`d_o` is the distance of the object from the lens

Some considerations:

`h_o, d_o` are always taken as positive

if
`h_i > h_o`, the image is larger than the object, otherwise it is smaller

if
`d_i > 0`, the image is real, otherwise it is virtual

In this situation, we have M = 3.0 (positive number and larger than 1). Looking at eq.(1), this implies:

1)
`h_i > h_o` --> image is larger than the object

2)
`d_i < 0` --> the image is virtual

So, the correct choice is

B. A virtual image that is larger than the object