LEvel

On heating a liquid of coefficient of cubical expansion γ in a container having coeff of linear exp γ/3 ,then what will happen to level of liquid in container?

7 Answers

62
Lokesh Verma ·

The change of the side of the contianer will be

l(1+γ/3T)

Change of volutme will be

l3(1+γ/3T)3

=l3(1+γT+....)

for the liquid,

change of volueme will be l3(1+γT)

so the volume of the container will increase mroe than the volume of liquid... so the level of liquid will fall :)

24
eureka123 ·

thanks sir....

11
Anirudh Narayanan ·

But, bhaiyyah. In the question it's not given anywhere that the container is a cube [7]
I wouldn't have got the answer even if that were given[3]

62
Lokesh Verma ·

aragorn we dont need a cube..

you are right to have observed that..

I also saw this when i was posting but essentially it will not make any difference..

L3 will get replaced by l.b.h

that is all :)

11
Anirudh Narayanan ·

What if it were a container with a curved surface.......like a hemisphere or a cylinder? Would the answer be the same? [7]

62
Lokesh Verma ·

if it were an exam question.. my answer would still be yes.. the answer remains the same..

I know it is not convincing but this is what is expected from us at JEE level...

There is not tooo much space for dare devils in the real world ;)

11
Anirudh Narayanan ·

[7]

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