A concave mirror magnifies images by a factor of 2.6.

Question

 

a)What is the height of an image formed by a 0.89-m-tall object?

b)What is the height of an object that has 1.8-m-tall image?

c)What is the object distance of an image that has a position of -2.00m? Please set up the formula and the answer thank you

Answer 1

Magnification factor m = 2.6

Magnification factor is the size of an image divided by the size of the object.

a)
m = I/O

Substitute 2.6 for m and 0.89 m for O in above formulae,

2.6=I/0.89

I=2.314 m

Height of the image is 2.314 m

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b)

m = I/O

Substitute 2.6 for m and 1.8 m for I in above formulae,

2.6=1.8/O

O=0.6923 m

Height of the object is 0.6923 m

 

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c)

To calculate magnification of the image using mirror formulae,

m = I/O

    = – v/u    

Here v is the distance from the lens to the image,u is the distance of object from concave mirror.

Substitute 2.6 for m and -2 m for u in above formulae,

2.6= -v/-2

  v =5.2 m

The distance from the lens to the image is 5.2 m