CBSE Class 10 Science 2019 Outside Delhi Set 1

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Question : 13
Total: 27
A student holding a mirror in his hand, directed the reflecting surface of the mirror towards the Sun. He then directed the reflected light on to a sheet of paper held close to the mirror.
(a) What should he do to burn the paper?
(b) Which typeof mirror does he have?
(c) Will he be able to determine the approximate value of focal length of this mirror from this activity? Give reason and draw ray diagram to justify your answer in this case.
OR
A 10cm tall object is placedperpendicular to the principal axis of a convex lens of focal length 12cm. The distance of the object from the lens is 18cm. Find the nature, position and size of the image formed.
Solution:  
(a) He should place the sheet of paper at the focus of the mirror to burn the paper.
(b) He has a concave mirror.
(c) Yes, the sheet of paper will start burning at the focus of the mirror which will give approximate value of focal length, i.e., the distance between mirror and the focal point where the sheet of paper starts burning.
A concave mirror forms a real image of the sun.
ORGiven : Height of object, h1=+10cm. Focal length, f=+12cm.
Object distance, u=18cm. From the lens fomula,
1
v
1
u
=
1
f

1
v
1
18
=
1
12

1
v
+
1
18
=
1
12

1
v
=
1
12
1
18

1
v
=
32
36
=
1
36

v=36cm
fication, m=
h2
h1
=
v
u
=2

h2=
v
u
×h1

h2=
36
18
×10cm

=20cm
The position of image formed is at distance of 36cm from convex lens.
Since the value of magnification is more than 1 (it is 2), the image formed is larger than object.
The minus sign of magnification shows that image is formed below the principal axis. Hence, the image formed is real and inverted.
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