A concave lens has a focal length of -31 {cm}. Find the image distance and magnification that results when an object is placed 29 {cm} in front of the lens.
d1= ? cm
m= ?

Respuesta :

Answer:

The value is [tex]v  =  440 \  cm[/tex]

and  

 [tex]m  =  16[/tex]

Explanation:

From the question we  are told that

    The image  distance is  [tex]v  =  29 \  cm[/tex]

    The focal length is [tex]f =  -31 \  cm[/tex]

From the lens equation we have that

      [tex]\frac{1}{f}  =  \frac{1}{v}  - \frac{1}{u}[/tex]

=>    [tex]\frac{1}{-31}  =  \frac{1}{v}  - \frac{1}{29}[/tex]

=>     [tex]v  =  450 \  cm[/tex]

Generally the magnification  is  

      [tex]m  =  \frac{v}{u}[/tex]

=>    [tex]m  =  \frac{ 450}{29}[/tex]

=>    [tex]m  =  16[/tex]