Please show all work! thank you! Select from the following for the next two ques

Question

Please show all work! thank you!

Select from the following for the next two questions: real, inverted and larger than the object real, upright and larger than the object virtual, upright and smaller than the object virtual, upright and larger than the object real, inverted and smaller than the object virtual, inverted and smaller than the object virtual, inverted and larger than the object real, upright and smaller than the object An object is placed 7. 1 cm away from a diverging lens. The lens has a focal length of 10. 0 cm. Select the statement from the list above which best describes the image.

Explanation / Answer

1/v - 1/u = 1/f

u = -7.1
f= -10

therefore calculating v from the above equation
v= -4.152 cm
since v is negative therefore image is virtual

magnification = -v/u = -(-4.152/-7.1) = -0.584 (negative and <1)
therefore image is inverted and smaller than object

therefore answer is F

Virtual inverted and smaller than object

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