Question

A 2.20 cm high insect is 1.15 m from a 130 mm focal-length lens.
What is the image distance?
mm
How high is the image?
cm
What type is it? (Select all that apply.)

The image is behind the lens.

The image is virtual

The image is inverted.

The image is real.

The image is upright.

The image is in front of the lens.

Answer 1

According to the thin lens formula, we get
     
And from the given values, we have
     
And the focal length is given by
  
And so,
  
  
  
  
   
This is the image distance in the unit of mm.

The sketch is given as follows ( ignore the different given values, the image is taken from the internet )
     

And the definition of the magnification is given by
  
And the height of the object
     
And so, the height of the image is
   
And so,
     


As the image distance is positive, so, the image is behind the lens.
And as the magnification is negative, so, the image is inverted and real.

And so the correct statements are :
  The image is behind the lens.
   The image is inverted.
  The image is real.