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  1. Problems
  2. /Olympiad

Olympiad problems

16 problems for Olympiad practice, in Physics, Chemistry, Mathematics and Biology, each with a worked solution. Try each one on paper first, then check your answer.

Other examsJEE MainJEE AdvancedNEETBITSATWBJEEBoard ExamSATAPA-LevelIBGaokaoPCEP (Python Institute)PCAP (Python Institute)

Choose a topic to see its subtopics.

16 problems
Type:
1.
A satellite moves in a circular orbit of radius 2R round the Earth, where R = 6400 km is the… New
Middle Stage (6–8) · GravitationJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
2.
A projectile is fired from the Earth's surface with a speed v₀ = √gR = 8.0 km/s, in a direction 30°… New
Middle Stage (6–8) · GravitationJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
3.
A planet is a uniform sphere of radius R = 3200 km and centre O. New
Middle Stage (6–8) · GravitationJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
4.
Two stars, A of mass 2M and B of mass M, where M = 1.0 × 10³⁰ kg, move in circular orbits about… New
Middle Stage (6–8) · GravitationJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
5.
A thin, smooth rod of length 1.0 m lies in a horizontal plane. New
Middle Stage (6–8) · Rotational MotionJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
6.
A uniform solid ball of mass 2.0 kg and radius 0.10 m is launched along a rough horizontal floor. New
Middle Stage (6–8) · Rotational MotionJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
7.
A uniform rod of mass 0.60 kg and length 1.2 m lies at rest on a smooth horizontal table. New
Middle Stage (6–8) · Rotational MotionJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
8.
A plank of mass 4.0 kg and length 1.5 m lies on a smooth horizontal floor. New
Middle Stage (6–8) · Rotational MotionJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
9.
A uniform disc A, of mass 2.0 kg and radius 0.20 m, turns freely in a horizontal plane on a smooth… New
Middle Stage (6–8) · Rotational MotionJEE Advanced, OlympiadStemPy LabStemPy Lab
Hard
10.
Two identical smooth discs, each of mass 0.20 kg and radius r, lie on a smooth horizontal table. New
Middle Stage (6–8) · Momentum and CollisionsJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
11.
A small bob of mass 0.20 kg hangs at rest from a fixed point O on a light, inextensible string of… New
Middle Stage (6–8) · Work, Energy and PowerJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
12.
A block of mass M = 4.0 kg rests on a smooth horizontal floor. New
Middle Stage (6–8) · Work, Energy and PowerJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
13.
A wedge of mass M = 5 kg stands on a smooth horizontal floor. New
Middle Stage (6–8) · Newton's Laws of MotionJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
14.
A small block of mass m = 0.50 kg lies on a rough horizontal turntable. New
Middle Stage (6–8) · Circular MotionJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
15.
A fixed horizontal cylinder has a rough surface. New
Middle Stage (6–8) · FrictionJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced
16.
A wedge of mass M = 3.0 kg rests on a smooth horizontal floor. New
Middle Stage (6–8) · FrictionJEE Advanced, OlympiadStemPy LabStemPy Lab
Advanced