A 2.5-cm-tall object is 13 cm in front of a converging lens that has a 23 cm foc

Question

A 2.5-cm-tall object is  13 cm in front of a converging lens that has a 23 cm focal length.

Part A

Calculate the image position.

Express your answer to two significant figures and include the appropriate units.

299cm

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Part B

Calculate the image height.

Express your answer to two significant figures and include the appropriate units.

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A 2.5-cm-tall object is  13 cm in front of a converging lens that has a 23 cm focal length.

Part A

Calculate the image position.

Express your answer to two significant figures and include the appropriate units.

299cm

SubmitMy AnswersGive Up

Incorrect; Try Again; 4 attempts remaining

Part B

Calculate the image height.

Express your answer to two significant figures and include the appropriate units.

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Explanation / Answer

use the basic lens equation:

1/p + 1/q = 1/f

p=object distance = +13 cm
q=image distance
f=focal length = + 23 cm

1/13 + 1/q = 1/23

1/q = 1/23 - 1/13

q = -29.9 cm, so the image is 29.9 cm in front of the converging lens (the sign convention for converging lenses is that positive image distances are behind the lens; positive object distances are in front of the lens)

the magnification is given by m = -q/p = 29.9/13 = 2.3

this means the image has the 2.3 times height as the object and is inverted

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