Problem 24.05 Ca iatete size ofthe mage formed by an 150mm a ayed whose dane ton

Question

Problem 24.05 Ca iatete size ofthe mage formed by an 150mm a ayed whose dane ton te meer-120 an Express your answer in milimeters te three significant figures A concave spherical mimor has a radius of curvature of 12.0 em Part E the batin ofthe mage formed by am 15.0mm-wiobject whose dalance from, temmy is 300em Express your answer in centimeters to three significant figures Part F Part g Calouiale the lecation of the inage formed by an 15.0mm-tall object whose dstance from the maror is 100m Express yeur anw iceimeters to theee significent gures Part H

Explanation / Answer

Solution:

focal length=radius of curvature/2=12 cm

as focal length of a concave mirror is negative, here f=-12 cm
Part D:
given that object distance=u=-12 cm

if image distance is v,

then (1/v)+(1/u)=(1/f)

==>(1/v)-(1/12)=-1/12

==>1/v=-2/20

==>v = -10 cm

then magnification=-(image distance/object distance)=-(-10/-12)= -0.833

hence image height=15 mm*( -0.833)= -12.495 mm

so the image is real and inverted.

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