No login needed to start practicing Founded by IIT Delhi alumni

Get Clear. Target IIT.

Free PYQs, full mock tests, and concept notes for JEE Main and Advanced — jump straight in, no account required.

Want to save your progress and join live classes? .

PYQs, organized

Filter by year, subject, and chapter

Instant scoring

Full solutions the moment you submit

Live classes

Join live, or catch up on the recording

Clear Notion Academy — Practice Tests
JEE MainJEE Advanced
Question 7 / 54 18:32

JEE Advanced 2016 · Rotational Motion

zOlma4m2aω

Two discs (mass m, 4m; radii a, 2a) are joined through their centers by a rigid rod of length l = √24 a, and the assembly rolls without slipping with angular speed ω about the rod's axis. Which statement(s) about its angular momentum is/are true?

Center of mass of the assembly rotates about the z-axis with angular speed ω/5
Angular momentum of the center of mass about point O is 81ma²ω
Angular momentum of the assembly about its own center of mass is 17ma²ω/2
The z-component of the angular momentum is 55ma²ω

Marking

+4 / −2

Duration

180 min

Who's behind Clear Notion

Founded by IIT Delhi Alumni

We've sat these exams ourselves. Every test, PYQ, and concept note on Clear Notion is built and checked by people who know exactly what a JEE-accurate solution looks like — because we've cracked it.

IIT Delhi pedigree

Founded by IIT Delhi alumni who've been through these exams themselves — not a generic content team.

Rigorously verified

Every test, PYQ solution, and concept note is checked for accuracy before it goes live. No shortcuts.

Built from experience

Designed around what actually works for cracking JEE Main and Advanced — not guesswork.

No account needed

Try it before you sign up

Jump straight in — free, no registration, right now.

Features

Everything you need to prepare, in one place

A complete toolkit built specifically for JEE aspirants — from first concept to final revision.

Practice Tests for JEE

Timed mock tests for JEE Main & Advanced — with instant scoring and full solutions.

Previous Year Questions

Solve JEE PYQs filtered by year, subject, and chapter — the proven way to crack patterns.

Live Tests

Real-exam simulated tests with instant ranking, detailed solutions, and performance analytics.

Structured JEE Courses

Expert-designed learning paths for JEE Main and JEE Advanced, from foundational concepts to advanced problem-solving.

Live Classes for JEE

Never miss a class. See your JEE course's upcoming sessions, join live, and revisit recordings anytime.

Performance Tracking

Visual progress, rank trends, and topic-wise strengths to focus your effort where it matters.

Built for JEE

Everything you need for JEE, in one place

Practice tests, previous year questions, structured online courses, and live coaching — all built specifically for JEE Main & Advanced aspirants.

JEE

Full courses & live coaching

Joint Entrance Examination for admission into engineering programs at IITs, NITs, and other top institutes.

Structured lessons, live classes, daily practice problems, live tests, and PYQs — everything you need for JEE Main & Advanced, in one place.

How it works

Four steps to your best score

A clear, repeatable routine that turns preparation into measurable progress.

01

Jump straight in

No sign-up needed — get instant access to JEE practice tests and PYQs the moment you land here.

02

Practice daily

Solve daily practice problems chapter-wise, and follow structured lessons and live classes built for JEE.

03

Test & analyze

Take live tests, solve PYQs by year and chapter, and review your rank and weak areas.

04

Improve & repeat

Use performance insights to focus revision and climb the rank ladder.

Jump in and start practicing

PYQs, mock tests, and concept notes for JEE — free, no account required.

Want structured JEE courses and live classes too?