please help.. heat

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a cubical block is floating inside a bath. The temp of the system is increased by a small temp T. It was found that the depth of the submerged portion did not change. find relation between coeff of linear expansion Î± of cube and volume expansion of liquid Î³
plz give explanation also

#Physics #Thermal physics

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4 Answers

11

virang1 Jhaveri ·2009-03-25 04:03:01

Density of liquid is M / V₁

F = V₂dg

mg =V₂dg
m = A*hd

Since the height remains the same h is constant
New A₂ = A(1+2 Î±*T)
Since 2Î± = Î² where Î± is coeff of linear expansion while Î² is coeff of area expansion

Change in density = M/V₁(1+Î³T)

m = h *A * M/V₁
After increase of T
m = h * A(1+ 2Î±*T) * M/V₁(1+Î³T)
m = m
2Î± = Î³

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11

virang1 Jhaveri ·2009-03-25 04:05:32

Is it rite?

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11

virang1 Jhaveri ·2009-03-25 04:38:16

Pls check this out

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1

cipher1729 ·2009-03-25 07:49:44

perrrrfect anwer, thanks a lot, man!!

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