A 4.0 c m -tall object is 10 c m in front of a convex mirror that has a -25 c m

Question

A 4.0cm -tall object is 10cm  in front of a convex mirror that has a -25cm  focal length.

A) Calculate the image position.
B )Calculate the image height. A 4.0cm -tall object is 10cm  in front of a convex mirror that has a -25cm  focal length.

A 4.0cm -tall object is 10cm  in front of a convex mirror that has a -25cm  focal length.

A 4.0cm -tall object is 10cm  in front of a convex mirror that has a -25cm  focal length.

A) Calculate the image position.
B )Calculate the image height. A) Calculate the image position. B )Calculate the image height.

Explanation / Answer

h0=4cm

d0=10cm

f=-25 cm

1/f=1/di+1/d0

1/di=1/f-1/d0

1/di=1/-25 - 1/10

(A)di=-7.1 cm [inverting] (negative sign indicates a virtual image)

magnificatiob=m=di/do=0.7143(ignoring the negative sign)

(B)hieght of image=m*h0=2.857 cm

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