Geometrical Optics. Find the correct option(s)?

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Answer 1 · 2017-04-05T18:16:18

$"option C"$

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$" If there was not the convex mirror, the image of point A (-50.0) would be at point D (75,0)."$

$f:"focus"$

$u:"distance object and mirror or lens"$

$u':"distance image and mirror or lens"$

$1/f=1/u+1/(u')$

$1/30=1/50+1/(u')$

$1/(u')=1/30-1/50$

$1/(u')=(5-3)/150$

$1/(u')=2/150$

$u'=75$

$"The image at point D (75,0) behaves like a virtual object for the convex mirror."$

$"If the axes of the thin-edge lens and the convex mirror coincided, the image of point D (75,0) would be at O (0,0). "$

$-1/f=-1/u+1/(u')$

$-1/50=-1/25+1/(u')$

$1/(u')=-1/50+1/25$

$1/u'=(-1+2)/50$

$u'=50$

$" The Point O (0,0) also rotates 30 degrees when the spherical mirror rotates 30 degrees."$

$" We should rotate the point O(0,0) as 30 degrees."$

$Delta x=50*cos 30=(50*sqrt3)/2=25sqrt 3$

$Delta y=50*sin 30=50*0.5=25$

$"Coordinates of image of A(-50,0) is " (50-25sqrt 3,25)$

Answer 2 · 2017-04-06T09:43:45

$"I have drawn again. The drawing have been scaled. "$
$"The answer is on the drawing."$

enter image source here

$"The answer is on the drawing."$