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Standard XII
Physics
Dimensional Analysis
Question
The dimension of the universal constant of gravitation
G
is
[
M
L
2
T
−
1
]
[
M
−
1
L
3
T
−
2
]
[
M
−
1
L
2
T
−
2
]
[
M
L
3
T
−
2
]
A
[
M
−
1
L
3
T
−
2
]
B
[
M
−
1
L
2
T
−
2
]
C
[
M
L
3
T
−
2
]
D
[
M
L
2
T
−
1
]
Open in App
Solution
Verified by Toppr
[
G
]
=
[
F
r
2
m
1
m
2
]
=
[
M
−
1
L
3
T
−
2
]
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Similar Questions
Q1
Match the physical quantities given in Column I with suitable dimensions expressed in Column
II.
Column I
Column II
a) Angular momentum
g)
M
L
2
T
−
2
b) Latent heat
h)
M
L
2
Q
−
2
c) Torque
i)
M
L
2
T
−
1
d) Capacitane
j)
M
L
3
T
−
1
Q
−
2
e) Inductance
k)
M
−
1
L
−
2
T
2
Q
2
f) Resistivity
l)
L
2
T
−
2
View Solution
Q2
Match the physical quantities given in Column I with suitable dimensions expressed in Column
II.
Column I
Column II
a) Angular momentum
1)
M
−
1
L
3
T
−
2
b) Torque
2)
M
L
T
−
2
c) Gravitational constant
3)
M
L
2
T
−
2
d) Tension
4)
M
L
2
T
−
1
View Solution
Q3
Some physical constants are given in List - I and their dimensional formulae are given in List
- II. Match the following :
List - I
List - II
A) Planck's constant
e)
[
M
L
−
1
T
−
2
]
B) Gravitational constant
f)
[
M
L
1
T
−
1
]
C) Bulk modulus
g)
[
M
L
2
T
−
1
]
D) Linear momentum
h)
[
M
−
1
L
3
T
−
2
]
View Solution
Q4
The dimensional formula
M
−
1
L
3
T
−
2
refers to :
View Solution
Q5
E, m,l and G denote energy, mass, angular momentum and gravitational constant respectively, then the dimension of
E
l
2
m
2
G
2
are
View Solution