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A 2.5-cm-tall object is 90cm in front of a diverging lens that has a -45cm focal...

A 2.5-cm-tall object is 90cm in front of a diverging lens that has a -45cm focal length.

A) Calculate the image position.

B) Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted.

Please show all your formulas and work!

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Answer #1

given are

ho=2.5cm

d0=90cm

f=-45cm

using lens formula

1/f=1/d0+1./di

1/-45=1/90+1/di

1/di=1/90+1/45

1/di=0.033

di=30.3 cm

Magnification: M = -di/do

=30.3/90

=0.336

M=hi/ho

0.336=hi/2.5cm

0.336*2,5=hi

0.841cm=hi

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