GATE CE 2024 Set 2 — Question 54
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumRelative DensitySoil Phase & Index PropertiesGeotechnical Engineering
Geotechnical Engineering → Soil Phase & Index Properties → Relative Density
Last updated
Question
The in-situ percentage of voids of a sand deposit is . The maximum and minimum densities of sand determined from the laboratory tests are and , respectively. Assume the specific gravity of sand as . The relative density index of the in-situ sand is ______________ (rounded off to decimal places).
Correct answer
0.12 to 0.14
Solution
Given:
In-situ porosity (percentage of voids),
Maximum dry density,
Minimum dry density,
Specific gravity of sand,
Density of water, Step 1: Calculate the in-situ void ratio ():Step 2: Calculate the minimum void ratio () corresponding to maximum density:Step 3: Calculate the maximum void ratio () corresponding to minimum density:Step 4: Calculate the relative density index ():Rounding off to two decimal places, the relative density index is .
In-situ porosity (percentage of voids),
Maximum dry density,
Minimum dry density,
Specific gravity of sand,
Density of water, Step 1: Calculate the in-situ void ratio ():Step 2: Calculate the minimum void ratio () corresponding to maximum density:Step 3: Calculate the maximum void ratio () corresponding to minimum density:Step 4: Calculate the relative density index ():Rounding off to two decimal places, the relative density index is .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Soil Phase & Index Properties
2026 Set 1 Q18The name of a person in Column 1 is to be matched with the test mentioned in Column 2. | Column 1 |…2026 Set 2 Q21Based on the Casagrande’s plasticity chart, plasticity index (in ) of inorganic clays having a…2026 Set 2 Q22Information related to foundation design is provided in table below. | Column 1 | Column 2 | | :---…2026 Set 1 Q31For a liquid, the permeability of a sandy soil having a void ratio of was determined as…2026 Set 1 Q32To obtain undisturbed clay soil sample, an Area Ratio of needs to be achieved for a…