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A plane mirror and a concave mirror (f = 8.40cm) are facing each other and are separated by a distance of 22.0 cm. An object is placed between the mirrors and is 11.0 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. What is the distance of the image (di) produced by the concave mirror?

Answer :

Answer:

The distance of the image produced by the concave mirror is 11.27 cm.

Explanation:

Given that,

Focal length = 8.40 cm

Distance between object and plane mirror = 11.0 cm

Distance between plane mirror and concave mirror = 22.0 cm

We need to calculate the object distance

[tex]u =11.0+22.0 = 33.0\ cm[/tex]

We need to calculate the distance of the image

Using formula of distance of the image

[tex]v=\dfrac{uf}{u-f}[/tex]

Where, u = Object distance

f = focal length

Put the value into the formula

[tex]v=\dfrac{33.0\times8.40}{33.0-8.40}[/tex]

[tex]v=11.27\ cm[/tex]

Hence, The distance of the image produced by the concave mirror is 11.27 cm.

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