A small lightbulb is 1.02 m from a screen. Part A If you have a convex lens with

ID: 1446110 • Letter: A

Question

A small lightbulb is 1.02 m from a screen.

Part A

If you have a convex lens with 17 cm focal length, where are the two lens locations that will project an image of the lightbulb onto the screen?

Express your answers using two significant figures separated by a comma.

Part B

What’s the magnification in the first case (smaller distance from the lightbulb)?

Express your answer using two significant figures.

M =

Part C

What’s the magnification in the second case (larger distance from the lightbulb)?

Express your answer using two significant figures.

M =

between the lightbulb and the screen at d1, d2 =

By lens formula

1/u. + 1/v . = 1/f

let the lens location be at x cm from lightsource,

u = -x , v = 102-x

-1/x. + 1/(102-x) = 1/17

{2x -102}×17. = x(102-x)

34x - 1734 = 102x - x^2

x^2 -68x -1734 =0

x = -20 cm ,88cm

these x distance are from lightbulb

hence lens is 132cm from sceen or 14 cm from screen

PartB) magnification in case 1 =132/20 =6.6

PartC)

Magnification in case 2 = -14/88 = -0.16

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