1. Virtual, 135 indigenous the lens

The distance of the image from the lens deserve to be calculated by making use of the lens equation:\frac1q=\frac1f-\frac1pwhereq is the street of the image from the lensf is the focal lengthp is the distance of the mole from the lensIn this problem, us havef = 15.0 centimeter is the focal length (positive for a convex lens, together the one in a magnifying glass)p = 13.5 cm is the street of the mole native the lensSolving the equation because that q,q=\frac1\frac115.0 cm-\frac113.5 cm=-135 cmThe an adverse sign tells that the photo is online (on the opposite side of the lens v respect come the image), and also located 135 centimeter from the lens.2. 10The magnification M the the photo is given byM=-\fracqpwhereq = -135 centimeter is the distance of the picture from the lensp = 13.5 cm is the street of the mole indigenous the lensSolving the equation for M, we findM=-\frac-135 cm13.5 cm=103. 50 mmThe magnification equation can likewise be written asM=\frach_ih_o=-\fracqpwhereh_i is the size of the imageh_o is the size of the objectSince below we haveh_o = 5.00 mm diameter that the real moleM = 10We findh_i = M h_o = (10)(5.00 mm)=50 mm"}>" data-testid="answer_box_list">

*

1. Virtual, 135 native the lens

The street of the image from the lens have the right to be calculated by making use of the lens equation:

*

where

q is the distance of the photo from the lens

f is the focal distance length

p is the distance of the mole native the lens

In this problem, we have

f = 15.0 cm is the focal size (positive for a convex lens, together the one in a magnifying glass)

p = 13.5 cm is the street of the mole indigenous the lens

Solving the equation for q,

*

The an unfavorable sign tells the the image is virtual (on the opposite next of the lens through respect come the image), and located 135 centimeter from the lens.

You are watching: A doctor examines a mole with a 15 cm focal length

2. 10

The magnification M the the photo is given by

*

where

q = -135 centimeter is the street of the picture from the lens

p = 13.5 cm is the street of the mole native the lens

Solving the equation for M, us find

*

3. 50 mm

The magnification equation can likewise be composed as

*

where

*
is the dimension of the image

*
is the size of the object

Since below we have

*
diameter that the actual mole

M = 10

We find

*


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