Suppose there are two vessels. One of diameter = D and other vessel dia = d.

Suppose there are two vessels. One of diameter = D and
other vessel dia = d. Suppose in vessel with dia D, water
is filled upto height H and vessel with dia d is empty. Now
both vessels are connected.Water will flow from D dia vesel
to small d dia vessel.Suppose after equilibrium height of
water in vessel with dia D is h. How much is h in terms of
D, d,H etc?

Question Posted / bhupendra sahu

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Suppose there are two vessels. One of diameter = D and other vessel dia = d. Suppose in vessel wi..

Answer / shivaray

After connecting each other in both vessels volumes are
remane same.
After equilibrium height for dia D is 'h' that means volume
is v1=Pi/4 *D^2*h
After equilibrium height for dia d is 'H-h' that means
volume is v2=Pi/4 *d^2*(H-h)

v1=v2

i.e D^2*h=d^2*(H-h)

(D^2+d^2)*h=d^2*H

so ans is h= d^2*H/(d^2+D^2)

I am requesting to Mr.Banke Bihari & Mr.Jikku Joseph to
make a comment on this answer.Bcz their ans is not correct

Is This Answer Correct ?

3 Yes

8 No

Suppose there are two vessels. One of diameter = D and other vessel dia = d. Suppose in vessel wi..

Answer / sadha

PRESSURE IS SAME
SO
h=D^3/d^3 x H2

Is This Answer Correct ?

2 Yes

8 No

Suppose there are two vessels. One of diameter = D and other vessel dia = d. Suppose in vessel wi..

Answer / shuhaib

According to question the level difference is not mentioned
so according to me the concept of height differenceas (H-h)
is not suggested.
at equilibrium h=H/2

Is This Answer Correct ?

0 Yes

9 No

Suppose there are two vessels. One of diameter = D and other vessel dia = d. Suppose in vessel wi..

Answer / vivek

h = H/2
as both the vesels are connected water will be at the same
level having no effect of diamt or shape...

Is This Answer Correct ?

7 Yes

17 No