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JEE Main Physics Class 11 Properties of Solids and Liquids Questions Part 1 Questions
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Question : 8
Total: 100
A thin
1
m
long rod has a radius of
5
m
m
. A force of
50
π
k
N
is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is
0.01
m
m
,
which of the following statements is false ?
[Online April 10, 2016]
The maximum value of
Y
that can be determined is
2
×
10
14
N
∕
m
2
Δ
Y
Y
gets minimum contribution from the uncertainty in the length
Δ
Y
Y
gets its maximum contribution from the uncertainty in strain
The figure of merit is the largest for the length of the rod.
Validate
Solution:
Young's modulus
Y
=
F
A
∕
Δ
l
l
Y
=
F
l
π
r
2
Δ
l
Given, radius
r
=
5
m
m
,
force
F
=
50
π
k
N
,
l
Δ
l
=
0.01
m
m
∴
Y
=
F
π
r
2
l
Δ
l
=
2
×
10
14
N
∕
m
2
© examsnet.com
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