An object is placed 50.0 cm in front of a convex mirror. where can be the image located if the focal length is 40 cm from the mirror

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Respuesta :

Answer:

Image will form at distance 22.22 cm behind the mirror

Explanation:

As we know that the mirror formula is given as

[tex]\frac{1}{d_i} + \frac{1}{d_o} = \frac{1}{f}[/tex]

now we know that

object distance from mirror is

[tex]d_o = -50 cm[/tex]

Focal length of the mirror is given as

[tex]f = 40 cm[/tex]

now we have

[tex]\frac{1}{-50} + \frac{1}{d_i} = \frac{1}{40}[/tex]

[tex]\frac{1}{d_i} = \frac{1}{50} + \frac{1}{40}[/tex]

[tex]d_i = 22.22 cm[/tex]