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Physics
Physics
Problem
A physical quantity
X
X
X
is defined by
X
=
F
2
r
m
k
X = \dfrac{F^{2} r}{\sqrt{m\,k}}
X
=
m
k
F
2
r
, where
F
F
F
is force,
r
r
r
is distance,
m
m
m
is mass and
k
k
k
is the spring constant (force per unit length). Determine the dimensional formula of
X
X
X
. a)
[
M
L
2
T
−
3
]
[M\,L^{2}\,T^{-3}]
[
M
L
2
T
−
3
]
b)
[
M
L
3
T
−
3
]
[M\,L^{3}\,T^{-3}]
[
M
L
3
T
−
3
]
c)
[
M
2
L
3
T
−
3
]
[M^{2}\,L^{3}\,T^{-3}]
[
M
2
L
3
T
−
3
]
d)
[
M
L
3
T
−
4
]
[M\,L^{3}\,T^{-4}]
[
M
L
3
T
−
4
]
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