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JEE Advanced 2014 Paper 1
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© examsnet.com
Question : 11
Total: 60
During Searle’s experiment, zero of the Vernier scale lies between
3.20
×
10
−
2
m and
3.25
×
10
−
2
m of the main scale. The 20th division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of 2 kg is applied to the wire, the zero of the Vernier scale still lies between
3.20
×
10
−
2
m and
3.25
×
10
−
2
m of the main scale but now the 45th division of Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is 2 m and its cross-sectional area is
8
×
10
−
7
m
2
.The least count of the Vernier scale is
1.0
×
10
−
5
m The maximum percentage error in the Young’s modulus of the wire is
Your Answer:
Validate
Solution:
Y
=
F
L
l
A
since the experiment measures only change in the length of wire
∴
Δ
Y
Y
×
100
=
Δ
l
l
×
100
From the observation
l
1
=
M
S
R
+
20
(LC)
l
2
=
M
S
R
+
45
(LC)
⇒ change in lengths
=
25
(LC)
and the maximum permissible error in elongation is one LC
∴
Δ
Y
Y
×
100
=
(
L
C
)
25
(
L
C
)
×
100
=
4
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