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How to use this worksheet
This independent worksheet checks gravitational field strength with a new problem, an explanation task and an interleaved related skill. It is not an official IEM question paper, a difficulty forecast or a prescribed timed examination.
Write an attempt first, then compare your method with the visible answers. Record whether a miss came from interpretation, a missing concept, execution or a condition you overlooked.
Question 1: apply the topic
If distance triples, what is the field-strength ratio?
Answer and checking point
1/9 of the original value.
Check dimensions, direction and limiting behaviour. Ask whether the answer should increase or decrease when an input changes. A dimensional check is necessary in many calculations but cannot certify an omitted dimensionless coefficient or an inappropriate physical model.
Question 2: diagnose an approach
Explain why the following warning matters and identify the correction it calls for: Using height above a surface as r instead of distance from the centre can give the wrong field.
Model checkpoint: A gravitational field gives force per unit test mass. For a spherical point-mass model it decreases with squared distance. Governing rule: g=GM/r² outside a spherical mass distribution.
Question 3: transfer to pressure and hydrostatic depth
A 100 N normal force acts on 0.02 m². Find pressure.
Answer: 100/0.02=5000 Pa.
This is an interleaved related-skill task, not a claim that the two topics have identical methods. Explain which idea changes when switching from the main topic to this one.
Review the attempt
Separate correct answers reached with a justified method from lucky guesses. Rework missed steps without looking at the answer, then use a fresh problem from an appropriate primary textbook or official paper. Do not use a small worksheet result as an admission cutoff, rank or readiness guarantee.
Official sources and verification
Sources checked on 26 October 2026. A source’s date, programme and campus limit which claims it supports. Official pages may change after review.
- UEM — IEMJEE examination information
Historical examination pattern; verify the current cycle on the central portal.
- NTA — explicitly labelled JEE Main 2026 syllabus
Historical PCM syllabus reference. Lessons and exercises are independently authored, not official IEMJEE papers or verified 2027 paper predictions.
- NCERT — official textbook catalogue
Primary textbook reference for checking school-level concepts. This directory does not certify the independent lesson or establish IEM examination weightage.
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