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JEE Main Physics Class 11 Properties of Solids and Liquids Questions Part 3 Questions
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© examsnet.com
Question : 58
Total: 100
In an experiment to determine the Young's modulus of wire of a length exactly
1
m
, the extension in the length of the wire is measured as
0.4
mm
with an uncertainty of
±
0.02
mm
when a load of
1
kg
is applied. The diameter of the wire is measured as
0.4
mm
with an uncertainty of
±
0.01
mm
. The error in the measurement of Young's modulus
(
∆
Y
)
is found to be
x
×
10
10
Nm
−
2
. The value of
x
is ________
(
.
take
.
g
=
10
ms
−
2
)
[26-Jul-2022-Shift-1]
Your Answer:
Validate
Solution:
F
∕
A
l
∕
L
=
Y
,
A
=
π
D
2
∆
Y
Y
=
∆
F
F
+
2
∆
D
D
+
∆
l
e
+
∆
L
L
=
2
×
0.01
0.4
+
0.02
0.4
=
0.04
0.4
=
1
10
Y
=
F
l
A
∆
l
=
10
×
1
π
(
0.1
m
m
)
2
×
0.4
m
m
=
1.988
×
10
11
≈
2
×
10
11
∆
y
y
=
1
10
∆
y
=
y
10
=
2
×
10
10
© examsnet.com
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