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Standard XII
Physics
Dimensional Analysis
Question
Planck's constant has the dimensions ___________.
M
L
3
T
−
1
.
M
L
6
T
−
1
.
M
L
2
T
−
1
.
M
L
8
T
−
1
.
A
M
L
6
T
−
1
.
B
M
L
8
T
−
1
.
C
M
L
2
T
−
1
.
D
M
L
3
T
−
1
.
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Solution
Verified by Toppr
Planck's constant, symbolized
h
, relates the energy in one quantum (photon)
of electromagnetic radiation to the frequency
of that radiation.
h
=
E
v
=
[
M
L
2
T
−
2
]
[
T
−
1
]
=
[
M
L
2
T
−
1
]
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Similar Questions
Q1
The dimensions of the quantity
1
ϵ
0
e
2
h
c
is
e = charge of electron
h = planck’s constant
c = velocity of light
ϵ
0
= permittivity of free space
View Solution
Q2
Match the following two columns:
Column I
Column II
A.
Electrical resistance
1.
[
M
L
3
T
−
3
A
−
2
]
B.
Electrical potential
2.
[
M
L
2
T
−
3
A
−
2
]
C.
Specific resistance
3.
[
M
L
2
T
−
3
A
−
1
]
D.
Specific conductance
4.
None of these
View Solution
Q3
Planck's constant has the dimensions ___________.
View Solution
Q4
Planck's constant has the dimensions of
View Solution
Q5
Match the Column I with Column II.
Column I
(Physical quantity)
Column II
(Dimensional formula)
(A)
Premittivity of free space
(p)
[
M
0
L
0
T
−
1
]
(B)
Radiant flux
(q)
[
M
L
3
T
−
3
A
−
2
]
(C)
Resistivity
(r)
[
M
L
2
T
−
3
]
(D)
Hubble constant
(s)
[
M
−
1
L
−
3
T
4
A
2
]
View Solution