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Fri 12:37 PM ommittee edugen.wileyplus com Cengage Brain My Home Applying to with AMCAs" MCAT study s ules 75 Days Lsu Mail myusu Apple wileypius My McNeese ESPN icloud Facebook Wiley PLUS Student is Reading A Lecture Written On A Blackb U S Cutnell, Physics, 10e Wiley PLUS My WileyPLUS GI NERAL PHYsics ORION iment FULL SCREEN NEXT PRINTER VERSION Chapter 26, Problem 061 Your answer is partially correct. Try again. An object is 15 cm in front of a diverging lens that has a focal length of -10 cm. How far in front of the lens should the object be placed so that the size of its image is reduced by a factor of 2.6? Number 220.9469 the tolerance is +/-2% the tolerarea Slow HINT Question Attempts: Un Copyright 2000-2017 by John wiley & Sons, inc. or related companies. All rights reserved

Explanation / Answer

f = - 10 cm ,

o = 15 cm ,

using equation is

1 / f = 1 / o + 1 / i

1 / - 10 = 1 / 15 + 1/ i

i = - 6 cm

the magnification is M = - i / 0

M = - ( - 6 ) / 15

M = 0.4

we have even M = hi / ho = 0.4

hi = 0.4 ho  

hi = ( 1 / 2.6 ) X ( 0.4 ho )

hi = 0.1538 ho

m = 0.1538 o '

- 1 / 10 = - 1 / 0.1538 o' + 1 / o '

- 0.1 X 0.1538 o' 2 = o ' ( - 1 + 0.1538 )

o ' = 0.8462 / 0.01538

o ' = 55.01 cm

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