Constants I Periodic Table Part A A small lightbulb is 1.10 Im from a screen. If

Question

Constants I Periodic Table Part A A small lightbulb is 1.10 Im from a screen. 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 View Available Hint(s) between the lightbulb and the screen at di.d2 cIm from the lightbulb Submit Part B What's the magnification in the first case (smaller distance from the lightbulb)? Express your answer using two significant figures. View Available Hint(s) Submit Part C What's the magnification in the second case (larger distance from the lightbulb)? Express your answer using two significant figures. View Available Hintis) Submit

Explanation / Answer

distance between object and image d + si = 1.1 m

d0 = object distance

di = image distance

di = 1.1 - d0

from lens equation

1/d0 + 1/di = 1/f

focal length f = 17 cm = 0.17 m

1/d0 + 1/(1.1-d0) = 1/f

1/d0 + 1/(1.1 - d0) = 1/0.17

1.1*0.17 = 1.1*d0 - d0^2

d0^2 - 1.1d0 -0.187 = 0

solving hte above equation

do has two values d1 , d2

d1 = 0.21 m

d2 = 0.89 m

d1 , d2 = 0.21m , 0.89 m

part ( B )

image distance d1i = 1.1 - 0.21 = 0.89 m

Magnification = d1i/d1 = 4.2

part( c)

image distance d2i = 1.1 - 0.89 = 0.21 m

Magnification = d1i/d1 = 0.24

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