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Standard XII
Physics
Question
Which of the following pair does not have same dimensions ?
Impulse, Torque
Angular velocity, Velocity gradient
Surface tension, Force constant
Pressure, Modulus of Elasticity
A
Pressure, Modulus of Elasticity
B
Angular velocity, Velocity gradient
C
Surface tension, Force constant
D
Impulse, Torque
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Solution
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Pressure
=
Modulus of Elasticity
=
F
A
=
M
1
L
−
1
T
−
2
Angular velocity
=
ω
=
T
−
1
Velocity gradient
=
d
v
d
z
=
L
T
−
1
L
=
T
−
1
Surface Tenstion
=
f
l
=
Force constant
=
M
1
L
1
T
−
2
L
1
=
M
T
−
2
Impulse
=
f
×
t
=
M
1
L
1
T
−
2
×
T
1
=
M
1
L
1
T
−
1
Torque
=
→
r
×
→
f
=
L
1
×
M
1
L
1
T
−
2
=
M
1
L
2
T
−
2
Hence, option D is correct.
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