An object that has a height of 0.4 meter is placed at a distance of 0.7 meter from a concave spherical mirror. An image is formed in front of the mirror and has a height of 0.35 meter. How from the mirror is the image located?

Respuesta :

Answer:

0.6125 meters

Explanation:

We know that,

the height of the object (h) = 0.4 m,

the distance between the object and the mirror (u) = -0.7 m; and

the height of image (h') = 0.35 m.

For a concave spherical mirror, we know the formula of magnification:

magnification = [tex]\frac{h}{h'}[/tex] = [tex]-\frac{v}{u}[/tex]

[tex]\frac{0.35}{0.4} =\frac{-v}{-0.7}[/tex]

By cross multiplication:

[tex]v=\frac{0.35*0.7}{0.4}[/tex]

[tex]v= 0.6125[/tex]

Therefore, the image is located 0.6125 meters away from the mirror.


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