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COMEDK Exam 2013 Solved Paper
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© examsnet.com
Question : 27
Total: 180
The pair of quantities having same dimensions is
impulse and surface tension
angular momentum and work
work and torque
Young's modulus and energy
Validate
Solution:
Impulse
=
Force
×
Time
=
[
M
L
T
−
2
]
[
T
]
=
[
M
L
T
−
1
]
Surface tension
=
Force
Length
=
[
M
L
T
−
2
]
[
L
]
=
[
M
L
0
T
−
2
]
Angular momentum
=
Moment of inertia
×
Angular velocity
=
[
M
L
2
]
[
T
−
1
=
[
M
L
2
t
−
1
]
Work
=
Force
×
Distance
=
[
M
L
T
−
2
]
[
L
]
=
[
M
L
2
T
−
2
]
Torque
=
Force
×
Distance
=
[
M
L
2
T
−
2
]
Energy
=
[
M
L
2
T
−
2
]
Young
′
s
modulus
=
F
o
r
c
e
A
r
e
a
Δ
L
L
=
[
M
L
T
−
2
]
×
[
L
]
[
L
2
]
×
[
L
]
=
[
M
L
−
1
T
−
2
]
∴ Work and torque have same dimensions.
© examsnet.com
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