GATE ME 2015 Set 1 — Question 46
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumSolidification & Chvorinov's RuleCastingManufacturing Processes
Manufacturing Processes → Casting → Solidification & Chvorinov's Rule
Last updated
Question
The solidification time of a casting is proportional to , where is the volume of the casting and is the total casting surface area losing heat. Two cubes of same material and size are cast using sand casting process. The top face of one of the cubes is completely insulated. The ratio of the solidification time for the cube with top face insulated to that of the other cube is
Correct answer
(B) (36)/(25)
Solution
According to Chvorinov's rule, the solidification time is given by:where is the volume and is the surface area of the casting.Let the side of the cube be .
Surface area
Solidification time
Surface area (only 5 faces are losing heat)
Solidification time The ratio of the solidification time for the cube with the top face insulated to that of the other cube is:Hence, the correct option is (B).
1.Case 1: All faces are open to heat transfer.
Volume Surface area
Solidification time
2.Case 2: The top face is completely insulated.
Volume Surface area (only 5 faces are losing heat)
Solidification time The ratio of the solidification time for the cube with the top face insulated to that of the other cube is:Hence, the correct option is (B).
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 ME 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 Casting
2026 Set 1 Q30In relation to metal casting defects, match the following | Defect | Description | | :--- | :--- |…2026 Set 1 Q32A work piece is to be firmly held in a fixture. It is to be machined by using a plain slab milling…2026 Set 1 Q59In a deep drawing operation of a rectangular sheet metal, stretching in length results in…2026 Set 1 Q63During orthogonal turning by using a single point cutting tool, feed rate is 0.24 mm/rev. The uncut…2026 Set 1 Q64A drill bit during its lifetime can produce 150 through holes in a plate at a drill-speed of 200…