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Byju's Answer
Standard XII
Physics
Dimensional Analysis
Express the f...
Question
Express the following derived units in terms of the fundamental units of length, mass and
time.
1)
Speed
2) Area
3) Acceleration
4) Density
5) Volume
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Solution
(i)
S
p
e
e
d
=
D
i
s
t
a
n
c
e
T
i
m
e
=
L
e
n
g
t
h
T
i
m
e
(ii)
A
r
e
a
=
L
e
n
g
t
h
×
B
r
e
a
d
t
h
=
L
e
n
g
t
h
×
L
e
n
g
t
h
=
(
L
e
n
g
t
h
)
2
(iii)
A
c
c
e
l
e
r
a
t
i
o
n
=
V
e
l
o
c
i
t
y
T
i
m
e
=
D
i
s
p
l
a
c
e
m
e
n
t
T
i
m
e
×
T
i
m
e
=
L
e
n
g
t
h
(
T
i
m
e
)
2
(iv)
D
e
n
s
i
t
y
=
M
a
s
s
V
o
l
u
m
e
=
M
a
s
s
L
e
n
g
t
h
×
L
e
n
g
t
h
×
L
e
n
g
t
h
=
M
a
s
s
L
e
n
g
t
h
3
(v)
V
o
l
u
m
e
=
L
e
n
g
t
h
×
B
r
e
a
d
t
h
×
H
e
i
g
h
t
=
L
e
n
g
t
h
×
L
e
n
g
t
h
×
L
e
n
g
t
h
=
(
L
e
n
g
t
h
)
3
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