GATE CE 2023 Set 2 — Question 10
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumMensuration & GeometryQuantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Mensuration & Geometry
Last updated
Question
Consider a spherical globe rotating about an axis passing through its poles. There are three points , , and situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let , , and move with speeds , , and , respectively.Which one of the following options is CORRECT?
Correct answer
(C) v_P v_R v_Q
Solution
The speed of a point on a rotating sphere is given by , where is the angular velocity (constant for all points on the globe) and is the perpendicular distance from the axis of rotation.
Thus, .
1.For point on the equator, (radius of the globe), so .
2.For point at the north pole, , so .
3.For point midway between the equator and the north pole (latitude ), , so .
Comparing the speeds: , , and . Thus, .
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 Quantitative Aptitude
2026 Set 2 Q1'The team ____ more than 300 runs in 20 overs ____ rains. However, some players needed to…2026 Set 1 Q1‘The shopkeeper sells lemons.’ In this sentence, the word ‘lemons’ is the ________.2026 Set 2 Q2If a positive real satisfies the following equation then…2026 Set 1 Q2The figure below is supposed to show three non-overlapping shapes – one oval and two triangles.…2026 Set 2 Q3The next figure (indicated by ‘?’) in the sequence is