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Ask iit jee aieee pet cbse icse state board experts Expert Question: units & dimensions problem
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soumidattaiitd (0)

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how to find dimension of any new quantity which is not fundamental?i am just starting woth jee preparation..
    
karthik_abiram (1222)

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hi,
 
just change all the derived quantities{i.e other than fundamental quantities} 
into fundamental quantities,and then apply the dimensions and simplify to get the dimension of the required quantity..........
 
 
 
is this wat u wanted or any thing else?
 
 
 
 
 
 

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edison (4934)

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Karthik is right as far as your query is concernerd.

For better understanding u can post some unsolved problem on units and dimensions.

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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iitkgp_bipin (6152)

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I will explain with the help of an example.

Force of attraction between two bodies is given by :

F = Gm1m2/r2 , to fond the dimension of G.

G = Fr2/m1m2

As force is (mass)x(acceleration0 its dimension is [M][a] = (M)(LT-2)

[G] = [Fr2/m1m2] = [F][r2]/[m1][m2]

[G] = (MLT--2)(L2)/{(M)(M)}

[G] = M-1L3T-2

Write down the dimensions of the quantities in terms of base quantities and simply do multiplication and division of them. 

Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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jaysunantony (171)

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Sir,
while finding the pitch of a Scre Gauge.............what if we stated exactly from
zero on the Main Scale and after fve rtations......the Main Scale reads 5.4mm
 or
smthng like that............

then is the pitch 1mm  or [5.4/5] mm..................Please reply....
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Avinash_Bhat (655)

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Hey, Jaysun.. It's (5.4 / 5)mm as : pitch = distance moved / no. of rotations given..
 
And.. Soumi,
For all those quantities which are not fundamental, directly or indirectly they will have a relation with those fundamentals qts.
 
Eg : Velocity = Displacement / Time
                    = [L] / [T]
 
And like this, all those simple quantities may be dimensionalised from which we can find those quantities like 'G' as our Bipin Sir has done...                       
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sjkalyan (11)

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if u r an inter 1st yr student id suggest u refer some gud book or else the inter 1st year text book
there a quite a few examples & jst work them out
then ull find how simple they are
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ankush_foru (0)

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hello..
can anbody help me out for the problems on optics?????
plz reply its urgent...

--@nkush.....
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