A glass tube of uniform bore is bent into the form of a square of sides a and filled with equal amounts of three immiscible liquids of densities p, P2 and pg. It is known that P, < P2 < P3. If the tube arrangement is placed in a vertical plane (i.e. two sides vertical) and if one of the vertical sides is completely filled with the liquid of density p2. E 1 P2 (a) Show that (2P3 +pi) > P2 > (P3 + 2p,) 3 3 P3 (b) If the relative densities of the first and third liquids are 1.0 and 1.2 respectively, find the range of the relative densities of the second liquid which makes the above arrangement possible.
A glass tube of uniform bore is bent into the form of a square of sides a and filled with equal amounts of three immiscible liquids of densities p, P2 and pg. It is known that P, < P2 < P3. If the tube arrangement is placed in a vertical plane (i.e. two sides vertical) and if one of the vertical sides is completely filled with the liquid of density p2. E 1 P2 (a) Show that (2P3 +pi) > P2 > (P3 + 2p,) 3 3 P3 (b) If the relative densities of the first and third liquids are 1.0 and 1.2 respectively, find the range of the relative densities of the second liquid which makes the above arrangement possible.
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter3: The Structure Of Real Materials
Section: Chapter Questions
Problem 3.12P
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![A glass tube of uniform bore is bent into
the form of a square of sides a and filled with equal amounts of
A
three immiscible liquids of densities p, P2 and p3. It is known that
P, < P2 < P3. If the tube arrangement is placed in a vertical plane
(i.e. two sides vertical) and if one of the vertical sides is completely
filled with the liquid of density P2-
E
P2
(a) Show that (2P3 + p;) > P2 > (P3 + 2p;)
G P3
(b) If the relative densities of the first and third liquids are
1.0 and 1.2 respectively, find the range of the relative
densities of the second liquid which makes the above
arrangement possible.
B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb0f816e-df50-4530-a4b4-204cfa48489a%2Fafe4a9b4-d35a-4403-9081-37b12df11aad%2Fko7ejac_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A glass tube of uniform bore is bent into
the form of a square of sides a and filled with equal amounts of
A
three immiscible liquids of densities p, P2 and p3. It is known that
P, < P2 < P3. If the tube arrangement is placed in a vertical plane
(i.e. two sides vertical) and if one of the vertical sides is completely
filled with the liquid of density P2-
E
P2
(a) Show that (2P3 + p;) > P2 > (P3 + 2p;)
G P3
(b) If the relative densities of the first and third liquids are
1.0 and 1.2 respectively, find the range of the relative
densities of the second liquid which makes the above
arrangement possible.
B.
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