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Question
Physics
The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
Q. The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
3788
159
NTA Abhyas
NTA Abhyas 2020
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A
Length
50
c
m
, diameter
0.5
mm
B
Length
100
c
m
,
diameter
1
mm
C
Length
200
c
m
, diameter
2
mm
D
Length
300
c
m
, diameter
3
mm
Solution:
Y
=
Δ
ℓ
/
ℓ
F
/
A
⇒
Δ
ℓ
=
A
Y
F
L
Δ
ℓ
∝
D
2
L
∴
Δ
ℓ
1
:
Δ
ℓ
2
:
Δ
ℓ
3
:
Δ
ℓ
4
=
0.
5
2
50
:
1
2
100
:
2
2
200
:
3
2
300
=
1
1
:
4
2
:
16
4
:
36
6
=
1
:
2
1
:
4
1
:
6
1