If we take length is the fundamental unit of mass,power, force,then what is dimension of the length?
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Answer:
Length is the measure of one spatial dimension, whereas area is a measure of two dimensions (length squared) and volume is a measure of three dimensions (length cubed).
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Answered by
0
Answer:
Correct option is
A
M
2
1
L
2
1
F
−
2
1
We are given that force F, length L, and mass M are the fundamental quantities of time T and hence we put,
T=F
x
L
y
M
z
Substituting their dimensions we have
[T]=[M
x
L
x
T
−2x
]L
y
M
z
Applying principle of homogeneity of dimensions we have
1=−2x or x=
2
−1
,
y=
2
1
,
z=
2
1
,
∴ dimension of time becomes M
2
1
L
2
1
F
2
−1
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