The image formed by a spherical mirror is real, inverted and is of magnification -2.If the image is at a distance of 30cm from the mirror, where is the object placed?Find the focal length of the mirror.List two characteristics of the image formed if the object is moved 10 cm towards mirror.
Answers
It is a concave mirror. Bcoz all these properties are possessed by the image formed by a concave mirror. The object is placed on the focus and if it is brought 10cm closer, the image formed will be magnified, erect and virtual
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Answer:
Given :
Magnification m = - 2
Image distance v = 30 cm
We know :
m = - v / u
- 2 = - (- 30 ) / u
u = - 15 cm
We have mirror formula :
1 / f = 1 / v + 1 / u
1 / f = 1 / - 15 - 1 / 30
1 / f = - 1 / 10
f = - 10 cm
When the object is moved 10 cm towards the mirror.
Then : u' = u - 10 cm
= > u' = - 5 cm
Again putting in formula to get v'
1 / - 10 + 1 / 5 = 1 / v'
1 / v' = 2 - 1 / 10
v' = 10 cm
Therefore , the image is located 10 cm behind the mirror.
Also new magnification :
m' = -v' / u'
m' = - 10 / -5
m' = 2
Since magnification is positive the image is erect and virtual.
Also image is magnified in nature.