ICSE Class 10 Physics 2018 Solved Paper

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Question : 50
Total: 78
An object is placed at a distance of 12‌cm from a convex lens of focal length 8‌cm. Find:
(i) the position of the image
(ii) nature of the image
Solution:  
Given: u=12‌cm (negative), f=8‌cm (positive)
We know, by lens formulae,
‌‌
1
f
=‌
1
v
−‌
1
u

‌‌
1
v
=‌
1
u
+‌
1
f

or ‌
1
v
=‌
1
u
+‌
1
f

or ‌‌
1
v
=‌
1
−12
+‌
1
8

‌‌
1
v
=‌
−2+3
24
=‌
1
24

∴‌‌v=24‌cm‌ (positive) ‌
Thus, the image is formed at a distance of 24 cm behind the lens.
We know, ‌‌m=‌
v
u
=‌
24
−12
=−2

Thus, the image is Real, inverted and magnified in size.
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