PLEASE HELP ME WITH THIS ONE QUESTION
A diverging lens has a focal length of –10 cm. Suppose an object is placed 15 cm in front of the lens. a) What is the image distance? b) Is the image real or virtual?

Respuesta :

Answer:

b

Explanation:

For given diverging lens(Concave) ; a) The distance of the image is -6 Cm, b) The image is virtual.

What is diverging lens?

The lens that diverge incident parallel beam of light after refraction from the lens, is called diverging or concave lens.

  • The images formed by it are always smaller, upright, towards object and between focus and optical center of the lens.

Given data:

a)

  • u = -15 Cm, f = -10 Cm, v= ?
  • by using lens formula,

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

  • On putting the values,

        [tex]\frac{1}{-10} = \frac{1}{v} - \frac{1}{-15}\\\frac{1}{-10} = \frac{1}{v} + \frac{1}{15}[/tex]

        [tex]\frac{1}{v} = \frac{1}{-10} -\frac{1}{15} \\\frac{1}{v} = \frac{-3-2}{30} \\[/tex]

         [tex]v = -6 Cm[/tex]

b) Magnification ,

m= ([tex]\frac{v}{u}[/tex])

on putting values,

[tex]m =(\frac{-6}{-15} )=\frac{2}{5} =0.4[/tex]

since m is positive it means the image is virtual

Hence a) distance of image is -6 Cm and b) the image is virtual.

Find out more information about the concave lens here:

https://brainly.com/question/2919483

#SPJ2