a dimensionally correct equation is the actual equation.do you agree? substantiate your answer.
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Dimensionally correct equation need
not be a correct equation:
Example:
Work=Force × circumference
[
M
1
L
2
T
−2
]=[
M
1
L
1
T
−2
][
L
1
]
[
M
1
L
2
T
−2
]=[
M
1
L
2
T
−2
]
The above formula is dimensionally
correct, but it is not a correct formula.
Dimensionally incorrect equation is
necessarily wrong:
Example:
Work=Force×time
[
M
1
L
2
T
−2
]=[
M
1
L
1
T
−2
][
T
1
]
[
M
1
L
2
T
−2
]=[
M
1
L
1
T
−1
]
The above formula is dimensionally
incorrect as well as it is an incorrect
formula.
not be a correct equation:
Example:
Work=Force × circumference
[
M
1
L
2
T
−2
]=[
M
1
L
1
T
−2
][
L
1
]
[
M
1
L
2
T
−2
]=[
M
1
L
2
T
−2
]
The above formula is dimensionally
correct, but it is not a correct formula.
Dimensionally incorrect equation is
necessarily wrong:
Example:
Work=Force×time
[
M
1
L
2
T
−2
]=[
M
1
L
1
T
−2
][
T
1
]
[
M
1
L
2
T
−2
]=[
M
1
L
1
T
−1
]
The above formula is dimensionally
incorrect as well as it is an incorrect
formula.
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