IEMJEE Physics preparation: Ideal-gas state relations — practice worksheet with answers

How to use this worksheet

This independent worksheet checks ideal-gas state relations 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

Convert 27°C to kelvin for an ideal-gas calculation.

Answer and checking point

27+273.15=300.15 K.

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 Celsius ratios in pV=nRT gives incorrect proportional changes.

Model checkpoint: The ideal-gas model links pressure, volume, amount of gas and absolute temperature. Governing rule: pV=nRT with consistent units and temperature in kelvin.

Question 3: transfer to simple harmonic displacement

Where is the acceleration magnitude largest in ideal SHM?

Answer: At the extreme displacements x=±A.

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.

1. UEM — IEMJEE examination information

   Historical examination pattern; verify the current cycle on the central portal.

2. 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.

3. 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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