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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: WHAT IS THE DINESION OF C?
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kria (478)

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WHAT IS THE DINESION OF C IN:


D=A+D/C^2


D=DENSITY


A=AREA


D= A CONSTANT


PLZZZZZ HELP IT IS BUZZZIN ME


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kria (478)

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I THINK C= TO [M^1L^-3]


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ANKIT.25ANKIT (27)

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C= ML^-3


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ganesha1991 (1700)

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how is this possible



[ D] = [ D/C^2]

then

c^2 must be dimensionless


 


the question is wrong i guess


 


according to question


[D] = [A]


which is impossible

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netkid07 (2019)

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*edited.....THANKS ganesha1991


d=A+D/C^2



d is a constant having dimensions of L^2





so,...D/C^2 should also have dimensions of L^2....so C^2 gets the dimensions of M L^(-5)...C has dimensions of M^(1/2) L^(-5/2)



hope it helps...cheero :)


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and 47 other dangerous words.............

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ganesha1991 (1700)

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@ netkid ur assumption is wrong

the first D cannot be density
if it is density
then {D] = {A]
which is impossible

so the first D is constant
i have posted the solution in the other thread
http://www.goiit.com/posts/list/general-dimension-of-c-58632.htm
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Avinash_Bhat (665)

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CASE 1





The Question is:    d   =   A  +  ( D / C2 )    where 'd' is the constant with dimensional formula [ L2 ].

So, the dimensions of  ( D / C2 )  =  Dimensions of A  =  [ L2 ].


Therefore, the dimensions of C2  =  Dimensions of  ( D / A )  =  [ M L - 5 ]




==> Dimensions of C  =  [ M1/2 L - 5/2 ]






CASE 2





The Question is:    D  =  ( A + d ) / C2    where 'd' is the constant with dimensional formula [ L2 ].




So, the dimensions of C2  =  Dimensions of  ( A + d ) / D  =  [ L2 ] / [ M L- 3 ]  =    [ M -1 L5 ].






==> Dimensions of C  =  [ M -1/2 L5/2 ]


 


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