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JEE Advanced 2023 Paper 1 Solutions
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© examsnet.com
Question : 10
Total: 51
In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is
10
±
0.1
‌
cm
and the distance of its real image from the lens is
20
±
0.2
‌
cm
. The error in the determination of focal length of the lens is
n
%
. The value of
n
is________
[JEE Adv 2023 P1]
Your Answer:
Validate
Solution:
Object distance
=
10
±
0.1
‌
cm
Image distance
=
20
±
0.2
‌
cm
Applying lens formula
‌
1
∕
v
−
‌
1
∕
u
=
‌
1
∕
f
.........(i)
⇒
‌
‌
‌
1
20
−
‌
1
(
−
10
)
=
‌
1
f
⇒
f
=
‌
20
3
‌
cm
Differentiate equation (i)
−
‌
1
v
2
d
v
+
‌
1
u
2
d
u
=
‌
−
1
f
2
d
f
For calculating error
‌
1
f
2
d
f
=
+
‌
1
v
2
d
v
+
‌
1
u
2
d
u
(
‌
d
f
f
)
×
100
=
(
‌
0.2
20
2
+
‌
0.1
10
2
)
‌
20
3
×
100
=
(
‌
0.2
4
+
‌
0.1
1
)
‌
20
3
=
1
∴
‌
‌
‌
d
f
f
×
100
=
1
%
© examsnet.com
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