CBSE Class 12 Physics 2015 Delhi Set 1 Paper

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Question : 9
Total: 26
Use the mirror equation to show that an object placed between f and 2f of a concave mirror produces a real image beyond 2f.
OR
Find an expression for intensity of transmitted light when a polaroid sheet is rotated between two crossed polaroids. In which position of the polaroid sheet will the transmitted intensity be maximum?
Solution:  
Derivation of the required condition
1
f
=
1
v
+
1
u

For concave mirror f<0 and u<0
As object lies between f and 2f
(i) At u=f
1
v
=
1
f
+
1
f

v=
At u=2f
1
v
=
1
f
+
1
2f
=
1
2f

v=2f
Hence, image distance v2f
Since, v is negative therefore the image is real.
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