An object of 5cm is placed a distance of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should screen be placed to get the sharp image also calculate the size of the image?
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Answer:Height of image (h2) =?
Height of object (h1) = 5cm
Focal length of mirror(f)=-15cm
Object distance (u)=--20cm
Image distance(v)=?
Now we will apply mirror formulae
1/f=1/v+1/u
-1/15=1/v-1/20
shifting -1/20 to r.h.s
1/20-1/15=1/v
1/v=-1/60
v=-60
Therefore image will be formed at 60 cm in front of mirror
Now, we will calculate magnification.
Since we have two formulas for magnification w will use both the formulas to calculate height of the image.
magnification(m)=-v/u=-(-60/-20)=-3
magnification(m)=h2/h1
-3=h2/5
-15=h2
h2=-15
Explanation:
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