CBSE Class 10 Science 2017 Delhi Term II Set 1 Paper

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Question : 16
Total: 36
An object 4cm in height, is placed at 15cm in front of a concave mirror of focal length 10 cm. At what distance from the mirror should a screen be placed to obtain a sharp image of the object. Calculate the height of the image.
Solution:  
Given : u=15cm,f=10cm,ho=4cm
Using the mirror formula
1
v
+
1
u
=
1
f

1
v
1
15
=
1
10

1
v
=
1
10
+
1
15

1
v
=
15+10
150
=
5
150

v=30cm
Thus, to obtain a sharp image of the object, the screen should be placed in front of the mirror at a distance of 30cm.
Now,
m=
v
u
=
height of image
height of object

m=(
30
15
)
m
=2

2=
hi
4
hi
=8cm

Height of the image is 8cm. (inverted)
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