Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >  Two soil specimens with identical geometric d... Start Learning for Free
Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen is
  • a)
    3.05
  • b)
    3.80
  • c)
    4.00
  • d)
    6.25
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two soil specimens with identical geometric dimensions were subjected ...
View all questions of this test
Most Upvoted Answer
Two soil specimens with identical geometric dimensions were subjected ...
Free Test
Community Answer
Two soil specimens with identical geometric dimensions were subjected ...
Given information:
- Two soil specimens with identical geometric dimensions were tested in the laboratory under identical conditions.
- The fall of water head was measured after an identical time interval.
- The ratio of initial to final water heads for the test involving the first specimen was 1.25.
- The coefficient of permeability of the second specimen is 5 times that of the first.

To find:
The ratio of initial to final water heads in the test involving the second specimen.

Solution:
Let's assume the initial water head for both specimens is 'H0' and the final water head for both specimens is 'Hf'.

For the first specimen:
- Initial water head (H0): H0
- Final water head (Hf): 1.25 * H0 (given ratio of initial to final water heads is 1.25)

For the second specimen:
- The coefficient of permeability of the second specimen is 5 times that of the first.
- Let's assume the coefficient of permeability of the first specimen is 'k1', then the coefficient of permeability of the second specimen is '5k1'.

Using Darcy's law, the discharge (Q) is given by:
Q = k * A * (H0 - Hf) / L

Since the geometric dimensions of both specimens are identical, we can assume the cross-sectional area (A) and length (L) are the same.

For the first specimen:
Q1 = k1 * A * (H0 - 1.25 * H0) / L
= k1 * A * (1 - 1.25) * H0 / L
= -0.25 * k1 * A * H0 / L

For the second specimen:
Q2 = (5k1) * A * (H0 - Hf) / L
= (5k1) * A * (H0 - 5 * H0) / L
= -4 * k1 * A * H0 / L

Since the fall of water head was measured after an identical time interval, the discharge for both specimens will be the same.

Q1 = Q2

-0.25 * k1 * A * H0 / L = -4 * k1 * A * H0 / L

Cancelling out common terms, we get:
-0.25 = -4

This is not possible, so there must be an error in the problem statement or the given options.
Explore Courses for Civil Engineering (CE) exam

Similar Civil Engineering (CE) Doubts

Top Courses for Civil Engineering (CE)

Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer?
Question Description
Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer?.
Solutions for Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5-times that of the first, the ratio of initial to final water heads in the test involving the second specimen isa)3.05b)3.80c)4.00d)6.25Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev