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Byju's Answer
Standard XII
Physics
Dimensional Analysis
The dimension...
Question
The dimensions
[
M
L
−
1
T
−
2
]
may be of
A
pressure
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B
energy per unit volume
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C
force
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D
linear momentum
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Solution
The correct options are
A
pressure
D
energy per unit volume
Pressure
P
=
force/ area
=
F
/
A
[
P
]
=
[
M
L
T
−
2
]
/
[
L
2
]
=
[
M
L
−
1
T
−
2
]
Energy per unit volume ,
E
=
work done/volume
=
(force
×
displement)/volume
[
E
]
=
[
M
L
T
−
2
]
[
L
]
[
L
3
]
=
[
M
L
−
1
T
−
2
]
The dimension of force,
[
F
]
=
[
M
L
T
−
2
]
and linear momentum,
[
p
]
=
[
m
v
]
=
[
M
L
T
−
1
]
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Similar questions
Q.
The dimensions ML
−1
T
−2
may correspond to
(a) work done by a force
(b) linear momentum
(c) pressure
(d) energy per unit volume.
Q.
Dimensions
[
M
L
−
1
T
−
1
]
are related to
Q.
The dimension
M
L
−
1
T
−
2
may correspond to
Q.
The dimensions of energy per unit volumes are the same as those of :
Q.
Three physical quantity having dimensions [ M L
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T
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] are.
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