The image of object formed by a mirror is real inverter and is of magnification -1 if the images at a distance of 30 cm from the mirror where is the object placed find the position of the image of the object is now move 20cm towards a mirror what is the nature of the image obtained? justify your answer with the help of a diagram
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as m = -1, -v/u = -1, v = u, object is placed at 30 cm.
as object is moved 20 cm towards mirror, then u = 10 cm < f = 15 cm.
nature of image is virtual, erect and enlarged.
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Answer:
+ 30 cm
Explanation:
Given :
Magnification = - 1
Image distance = 30 cm
We know
m = - v / u
- 1 = 30 / u
u = - 30 cm
Now we have ,
1 / f = 1 / v + 1 / u
1 / f = 1 / - 30 - 1 / 30
f = - 15 cm
When object moved 20 cm
u' = - 30 + 20 = - 10 cm
We have f = - 15 cm
We have to find new image distance v'
Again ,
1 / f = 1 / v' + 1 / u'
- 1 / 15 = 1 / v' - 1 / 10
1 / v' = 1 / 30
v' = 30.
Nature of image as :
Virtual
Erect
Magnified.
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