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![[Post New]](/templates/default/images/icon_minipost_new.gif) 12 Apr 2007 17:34:43 IST
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a sample of metal weighs 210g in air, 180g in water and 120g in an unknown liquid. then density of metal is
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12 Apr 2007 18:11:18 IST
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does the body get fully immersed in the water and liquid? if yes, then the density of the metal comes out to be 7g/cc(i'm not sure, i might be wrong) ; if no, then i have to think about the question once again....
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12 Apr 2007 18:26:06 IST
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only this much is given in the question
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12 Apr 2007 18:27:29 IST
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is the answer given?
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12 Apr 2007 18:33:04 IST
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this should be fine, well see
let the volume be v
now in air 210=v*d1..........................1
d1 is dens.of air
180=v*d2..........................................2
d2 is den of water
120=vd3.....................................3
d3 density of unknown liquid
now the fourth equ. is the relation between the densities of water and air (which u can easily look up in a book)
rate me plssss
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12 Apr 2007 18:38:05 IST
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if the answer is correct then i'll give my solution(coz' i'm not very sure abt it)....
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Vp1g = 21/10 [ p1 is density of substance ] ------------- Eq. 1 Vp1g - Vp2g = 18/10 [ p2 is density of water ] ------------- Eq. 2 Put Eq. 1 in Eq. 2, you get, Vp2g = 3/10 ----------- Eq. 3 Eq. 1 / Eq. 3 p1 / p2 = 7 p1 = 7p2 Density of water is 1 gm/ml Density of material = 7 gm/ml
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12 Apr 2007 19:10:01 IST
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ya i also got the same result
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<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>
   
<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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12 Apr 2007 20:53:30 IST
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Q) A sample of metal weighs 210g in air, 180g in water and 120g in an unknown liquid. then density of metal is Sol) Density of water = 1g/cc We consider density of air to be negligible = 0 (though strictly it is not) Let volume of the sample = V cubic centimeter = V cc So buoyancy force due to water = Fw = V dw Where, dw is density of water = 1 gm/cc so 180 g = 210 g - V dwg (where g is accln due to gravity) so V = 30 cc Now density of unknown liquid = dp so 120g = 210 g - V dpg or, 120 = 210 - 30dp so, dp = 90/30 = 3 gm/cc also density of metal = 210/V = 210/30 = 7g/cc
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12 Apr 2007 21:03:26 IST
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dear mr. edison, i think your solution has a flaw. you have taken 210g to be the mass of the body but the question states that the body weighs 210g which means the mass of the body is 21g. if i'm wrong then plz do tell me.....
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12 Apr 2007 21:16:14 IST
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Dear Catch_arnnie,
Just don't wory about numerical values.
The procedure is not going to change which is more important.
Just follow the approach.
Moreover If u take mass of the body to be 21g, event then also ratio is maintained and the answer will not change, it will be same only that is density of metal = 7 g/cc only.
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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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12 Apr 2007 21:34:09 IST
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dear mr. edison, i think ur 2nd equation(120g = 210 g - V dp g ) might be wrong, coz here dp should be the density of the unknown liquid not the density of the metal, plz clarify if i'm wrong....
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12 Apr 2007 21:57:16 IST
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Yes man its unknown fluid and mistakenly written metal. Thanx for rectification.
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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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13 Apr 2007 14:14:07 IST
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dear mr. edison,i rectified your answer so i think i deserve a rate for it....(if you wish to give it)
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