Can anyone explain me the meaning of this line with example:
The dimensions of a base quantity in other base quantities is always zero.
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Answered by
10
Answer:
Explanation:
its soo simple
if u will get the dimension of base quantity on other base quantity it will cancel the base quantity of other and answer will surely be 0.
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Answered by
24
Now, you might know what are the seven base quantities and it’s dimensions
1) Length [L]
2) Mass [M]
3) Time [T]
4) Temperature [K]
5) Current [A] or [I]
6) Luminous intensity [J]
7) Amount of substance [N]
These are the fundamental quantities which are independent.
They do not depend on any other quantities.
For example,
Length :
it has no relation with mass, time, current or any other base quantities.
Therefore, it’s dimension would be [M^0 L^1 T^0]
Dimensions are the power to which a fundamental quantity is raised.
In the dimension of length,
Mass and time has been raised to the power 0. Anything raised to the power 0 is always 1.
i.e. M^0 = 1 and T^0 = 1
So if u multiply the above dimensions, the product you’ll get is L^1. Means it has no relation with Mass and time.
So, the dimensions of any other base quantities [M] , [T] , etc will always be 0 in other base quantity
[L].
Same goes for other base quantities as well.
Hope you understood : )
1) Length [L]
2) Mass [M]
3) Time [T]
4) Temperature [K]
5) Current [A] or [I]
6) Luminous intensity [J]
7) Amount of substance [N]
These are the fundamental quantities which are independent.
They do not depend on any other quantities.
For example,
Length :
it has no relation with mass, time, current or any other base quantities.
Therefore, it’s dimension would be [M^0 L^1 T^0]
Dimensions are the power to which a fundamental quantity is raised.
In the dimension of length,
Mass and time has been raised to the power 0. Anything raised to the power 0 is always 1.
i.e. M^0 = 1 and T^0 = 1
So if u multiply the above dimensions, the product you’ll get is L^1. Means it has no relation with Mass and time.
So, the dimensions of any other base quantities [M] , [T] , etc will always be 0 in other base quantity
[L].
Same goes for other base quantities as well.
Hope you understood : )
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