Question

A diverging lens has radius of focal length f = –10.0 cm. An object is placed a certain distance dO from the mirror along its principal axis.

For each value of dO in the table, fill in (i) the distance dI from the lens to the image; (ii) the lateral magnification m of the image; (iii) whether the image is real or virtual; (iv) whether the image is on the same side of the lens as the object or the opposite side; (v) whether the image is upright or inverted; and (vi) whether the image is larger than the object, smaller than the object, or the same size as the object.

Object distance dO (cm)	Image distance dI (cm)	Lateral magnification m	Real or virtual?	Same side as object or opposite side?	Upright or inverted?	Larger than object, smaller, or same size?
30.0
20.0
15.0
5.00

Answer 1

the equation used is

1/f = 1/do + 1/di

if di is negative, image is on the same side as the object, image is virtual, upright

__________________________

Object distance dO (cm)	Image distance dI (cm)	Lateral magnification m	Real or virtual?	Same side as object or opposite side?	Upright or inverted?	Larger than object, smaller, or same size?
30.0	- 7.5	0.25	virtual	same side	upright	smaller
20.0	- 6.66	0.333	virtual	same side	upright	smaller
15.0	-6	0.4	virtual	same side	upright	smaller
5.00	-3.333	0.666	virtual	same side	upright