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Byju's Answer
Standard XII
Physics
Poisson's Effect
Dimensions of...
Question
Dimensions of strain are
A
[
M
L
2
T
−
2
]
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B
[
M
0
L
0
T
0
]
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C
[
M
L
−
1
T
−
2
]
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D
[
M
L
T
−
2
]
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Solution
The correct option is
B
[
M
0
L
0
T
0
]
Strain is fractional change in dimension.
e
.
g
.
strain
=
Δ
l
l
. So, it is dimensionless.
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Similar questions
Q.
The dimensions of strain is:
Q.
The dimensions of the quantities in one (or more) of the following pairs are the same. Identify the pair(s).
(Given,
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Q.
The dimensions of the quantities in one (or more) of the following pairs are the same. Identify the pair(s).
(Given,
Torque
=
Force
×
distance
,
Angular momentum
=
momentum
×
distance
Young's modulus
=
s
t
r
e
s
s
s
t
r
a
i
n
,
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Q.
Elasticity: The atoms in solids are held together by interatomic forces.The average locations of the atoms in a lattice do not change with time.Since the atoms are almost lacking in mobility, their kinetic energy is negligibly small. It is this lack of mobility which makes a solid rigid. This rigidity is the cause of elasticity in solids. In some solids such as steel, the atoms are bound together by larger inter-atomic forces than in solids such as aluminum. Thus, the elastic behavior varies from solid to solid. Even fluids exhibit elasticity. All material bodies get deformed when subjected to a suitable force. The ability of a body to regain its original shape and size is called elasticity. The deforming force per unit area is called stress. The change in the dimension (length, shape or volume) divided by the original dimension is called strain. The three kinds of stress are tensile stress, shearing stress, and volumetric stress. The corresponding strains are called tensile strain, shearing strain and volume strain. According to Hooke's law, within the elastic limit, stress is proportional to strain. The ratio stress/strain is called the modulus of elasticity.
The figure shows the strain-stress graphs for
materials A and B. From the graph it follows that:
Q.
In a plane strain case in the XY plane, normal strain in X and Y directions are equal to zero and shear strain is equal to
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×
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. What is the value of diameter of Mohr's circle of strain for these strain values?
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