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JEE Advanced 2018 Paper 2
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© examsnet.com
Question : 11
Total: 54
A steel wire of diameter
0.5
m
m
and Young’s modulus
2
×
10
11
N
/
m
2
carries a load of mass M. The length of the wire with the load is
1.0
m
. A vernier scale with 10 divisions is attached to the end of this wire. Next to the steel wire is a reference wire to which a main scale, of least count
1.0
m
m
, is attached. The 10 divisions of the vernier scale correspond to 9 divisions of the main scale. Initially, the zero of vernier scale coincides with the zero of main scale. If the load on the steel wire is increased by
1.2
k
g
, the vernier scale division which coincides with a main scale division is ___. Take
g
=
10
m
s
2
and
π
=
3.2
Your Answer:
Validate
Solution:
d
=
0.5
m
m
Y
=
2
×
10
11
l
=
1
m
Δ
l
=
F
l
A
y
=
m
g
l
π
d
2
4
y
=
1.2
×
10
×
1
π
4
×
(
5
×
10
−
4
)
2
×
2
×
10
11
Δ
l
=
1.2
×
10
3.2
4
×
25
×
10
−
8
×
2
×
10
11
=
12
0.8
×
25
×
2
×
10
3
=
12
40
×
10
3
=
0.3
m
m
So 3rd division of a vernier scale will coincicle with main scale.
© examsnet.com
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