when an object is placed 20cm from a concave mirror a real image magnified three times is formed find :
A)the focal length of the mirror
B)where must be the object be placed to give a virtual image three times the height of the object
Answers
Step-by-step explanation:
GIVEN
Magnification, m= -3
Object distance, u= -20cm
USING MAGNIFICATION FORMULA
m = -v/u
-3 = - v/ -20
v = - 60 cm
distance of the image from the mirror is - 60
USING MIRROR FORMULA
1/f = 1/v +1/u
1/f = 1/ -60 + 1/ -20
f = -15 cm
the focal length of the mirror is -15
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to find the distance of the object from the mirror
USING MAGNIFICATION FORMULA
m = h (height of image) / h (height of object)
m = -v/u
as per question ''three times the height of the object''
v= -3u
USING MIRROR FORMULA
1/ -3u + 1/u = 1/-15
u= -10 cm
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hope it helped....... :)
Answer:
m=h2/h1
m=-v/u=3
v=-3u
applying mirror formula
1/v+1/u=1/f
1/(-3u)+1/u=1/-15
1/u=1/-15_1/3u
u=-10cm