Ruchi.
how to find dimension of any physical quantity?
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Ruchi.
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@mukushla @mathslover @shruti @SUROJ @ashna @Preetha @PaxPolaris
SUROJ
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I guess there are 3 dimension lenght, bredth and height
SUROJ
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and if you consider forth time dimension
ashna
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In the SI system, the dimension of all physical quantities is a combination of the 7 fundamental quantities such as ..
ashna
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Name Unit Symbol
Distance Meter L
Mass Kilogram M
Time Second T
Current Ampere I
Light Candela J
Heat Kelvin K
Concentration Mole N
mathslover
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Ok so there are two types of units:
1) Basic (given above by ashna)
2) Derived for example:
speed = distance /time
unit of distance = metre and unit of time = second
hence unit of speed = m/s
mathslover
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reprsentation :
[SPEED] = \(\large{[LT^{-1}]}\)
mathslover
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is this what u wanted @Ruchi. ?
ashna
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@Ruchi. candela sybol is cd sorry !
mathslover
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right J is the symbol of Joule ( unit of energy )
ashna
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Any physical quantity Q can then be dimensionally expressed as
[Q] = L^1 M^2 T^3
ashna
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THE ONE WHICH SEEMS TO BE POWERS IN MATH IS CALLED DIMENSIONS IN PHYSICS
ashna
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P.S though not every where
ashna
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do you have any books to refer to ?
Ruchi.
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@mathslover i don't know how to find dimension of any physical quantity.
mathslover
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Of any physical quantity :?
you mean like find the dimensions of velocity , speed etc.?
ashna
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Area = length * length = L^2
UNDERSTOOD ? @Ruchi.
Ruchi.
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any i mean plz tell me that hw can we find dimension of any quantity.
Ruchi.
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okay
ashna
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Volume = Length * area
= Length * Length * Length
= L^3
ashna
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understood that ?
Ruchi.
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yes
ashna
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do you intent someone else to explain , or am i to continue ?
Ruchi.
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plz continue
ashna
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okay
ashna
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Angle = Arc / Radius
= no dimensions
ashna
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you know why ?
Ruchi.
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why?
ashna
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arc = L
radius = L
so both gets cancelled
ashna
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understood ?
Ruchi.
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ok
ashna
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Density = Mass / Volume
= M / L^3
= M^1 L^-3
ashna
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|dw:1344583056345:dw|
ashna
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OKAY ?
Ruchi.
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ok
ashna
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velocity = displacemnt / time
= LT^-1
ashna
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SINCE DISPLACEMENT = DISTANCE = L
Ruchi.
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how? i hav nt under stood it
ashna
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okay , displacement = distance = L (length)
divided by time (t)
ashna
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|dw:1344583266349:dw|
ashna
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now okay ?
ashna
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you are free to say if you didn't understand it still :)
Ruchi.
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can i ask u 1 thing
ashna
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sure :)
Ruchi.
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okay why u have taken distance=L
ashna
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distance is nothing but length .
ashna
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distance travelled , is the length travelled
understood ?
Ruchi.
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yes
ashna
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where displacement is just the other word for distance ,
displacement is the shortest dist travelled and distance is the longest possible distance = L (length)
ashna
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can i proceed ?
Ruchi.
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okay above u hav posted a table i table i hav find out that table i many bookbt i don't know how and where i hav to use that table.:"(
ashna
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Name Unit Symbol
Distance Meter L
Mass Kilogram M
Time Second T
Current Ampere I
Light Candela cd
Heat Kelvin K
Concentration Mole mol
ashna
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this is nothing , i'll explain , dont worry yourself now :)
Ruchi.
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okay
ashna
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now i said distance = L , that is the first one , okay ?
and its unit is meter .
ashna
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anything you want to know ?
ashna
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@Ruchi. you there ?
Joseph91
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Dimension of a body is determined by the co-ordinate axis attach to it. There are 1D, 2D, 3D and 4D(It includes Time).The existence of 4D is beyond our imagination.
Ruchi.
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@ashna
Ruchi.
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@ashna hav studied chapter work energy &power
ashna
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hey ruchi .. tell me a time when you can stay on in open study for like hours .. not mins , i'll help you with dimensions then ;)