Rank in order, from most positive to most negative, the image heights in the fol

Question

Rank in order, from most positive to most negative, the image heights in the following situations:


Rank from most positive to most negative. To rank items as equivalent, overlap them


1. A 1.0-cm-tall object is 8 cm from a converging lens of focal length of 10 cm.
2. A 1.5-cm-tall object is 7 cm from a diverging lens of focal length of -10 cm.
3. A 2.0-cm-tall object is 15 cm from a converging lens of focal length of 13 cm.
4. A 2.5-cm-tall object is 16 cm from a diverging lens of focal length -13 cm.

CAN SOMEONE EXPLAIN WHY THE ANSWERS ARE NOT -5, -.88, 13, AND -1.12???? I THOUGHT THE ANSWER SHOULD BE

3>2>4>1

Explanation / Answer

1) 1/i + 1/o = 1/f

1/i + 1/8 =1/10

i=-40

h' = 1*40/8 = 5cm

2) 1/i + 1/7 = 1/-10

i=-4.12

h = 1.5*4.12/7=0.883

3) 1/i+1/15 =1/13

i=97.5

h =-2*97/5/15=-2.59

4) 1/i +1/16=1/-13

i=-7.17

h= 2.5*7.17/16=1.12

so answer is

1>4>2>3

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