JEE Main problems

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

All SubjectsPhysicsChemistryMathematicsBiologyPython ProgrammingStatistics & Data Science

All LevelsMiddle Stage (6–8)High School (9–10)High School (11–12)General

All TopicsMechanicsHeat & ThermodynamicsWaves & SoundOpticsElectricity & MagnetismModern Physics

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Type:AnyConceptualNumerical

1.

A satellite of mass 500 kg moves in a circular orbit of radius 7000 km round the Earth. New

Middle Stage (6–8) · GravitationJEE Advanced, JEE Main, APStemPy Lab

Hard

2.

The Earth's mass is 81 times the Moon's, and the distance between their centres is 60RE, where RE =… New

Middle Stage (6–8) · GravitationJEE Advanced, JEE MainStemPy Lab

Hard

3.

A spool of mass 1.2 kg rests on a rough horizontal floor on its two outer rims, of radius R = 0.15… New

Middle Stage (6–8) · Rotational MotionJEE Advanced, JEE Main, APStemPy Lab

Hard

4.

A block of mass 1.0 kg lies on a rough horizontal floor. New

Middle Stage (6–8) · Work, Energy and PowerJEE Advanced, JEE MainStemPy Lab

Hard

5.

A small ball of mass 0.30 kg is tied to a vertical rod by two light strings, each 0.50 m long. New

Middle Stage (6–8) · Circular MotionJEE Advanced, JEE MainStemPy Lab

Hard

6.

A plank B of mass 4 kg and length 0.9 m lies on a long horizontal table. New

Middle Stage (6–8) · FrictionJEE Advanced, JEE Main, APStemPy Lab

Hard

7.

A lead bullet at 30 °C hits a steel plate at 340 m/s and stops.

High School (11–12) · Laws of ThermodynamicsJEE Main, NEET, BITSAT, WBJEE, Board Exam, A-Level, IBStemPy Lab

Hard

8.

A copper rod 0.60 m long and a steel rod 0.30 m long, each with a cross-section of 3.0 cm², are…

High School (11–12) · Heat TransferJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, IBStemPy Lab

Medium

9.

A tank on the ground holds water 2.8 m deep.

High School (11–12) · Fluid Flow, Bernoulli's Principle and ViscosityJEE Main, NEET, BITSAT, WBJEE, Board Exam, APStemPy Lab

Medium

10.

A Venturi meter in a water pipe is 16 cm across at the wide part and 8.0 cm at the throat.

High School (11–12) · Fluid Flow, Bernoulli's Principle and ViscosityJEE Main, NEET, BITSAT, WBJEE, Board Exam, APStemPy Lab

Medium

11.

A steel cable 75 m long hangs straight down a deep well, holding nothing but itself.

High School (11–12) · Elasticity and Mechanical Properties of SolidsJEE Main, NEET, BITSAT, WBJEE, Board ExamStemPy Lab

Hard

12.

A steel wire (1.5 mm²) and a copper wire (2.0 mm²), both 1.6 m long, hang side by side and hold up…

High School (11–12) · Elasticity and Mechanical Properties of SolidsJEE Main, NEET, BITSAT, WBJEE, Board ExamStemPy Lab

Hard

13.

Encke's comet goes round the Sun every 3.3 years.

High School (11–12) · GravitationJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, A-Level, IB, GaokaoStemPy Lab

Medium

14.

Imagine a straight tunnel through the centre of a uniform Mars (g = 3.7 m/s² at the surface, R =…

High School (11–12) · GravitationJEE Main, NEET, BITSAT, WBJEE, Board Exam, APStemPy Lab

Medium

15.

A 1200 kg satellite orbits 420 km up. Over some weeks, the thin air takes 2.0 × 10⁸ J of its energy.

High School (11–12) · GravitationJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, A-Level, IBStemPy Lab

Hard

16.

A rod of length L = 1.5 m has a mass per unit length λ = λ₀(1 + 2x/L), where x is the distance from…

High School (11–12) · Rotational MotionJEE Main, BITSAT, WBJEE, Board Exam, APStemPy Lab

Medium

17.

A uniform disc of radius 45 cm has a circular hole of radius 15 cm cut out, so that the hole…

High School (11–12) · Rotational MotionJEE Main, NEET, BITSAT, WBJEE, Board ExamStemPy Lab

Hard

18.

A 55 kg boy stands at the front of a 165 kg canoe on still water.

High School (11–12) · Rotational Motion, Momentum and CollisionsJEE Main, NEET, BITSAT, WBJEE, Board Exam, APStemPy Lab

Medium

19.

A 9.0 kg shell is fired at 50 m/s at 55° above level ground.

High School (11–12) · Rotational Motion, Momentum and CollisionsJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, A-Level, IB, GaokaoStemPy Lab

Medium

20.

A 1.5 kg block hangs from a string wound round a uniform disc pulley of mass 4.0 kg and radius 0.15…

High School (11–12) · Rotational MotionJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, IBStemPy Lab

Medium

21.

A uniform rod 1.5 m long is hinged at one end, held horizontal, and let go.

High School (11–12) · Rotational MotionJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, IBStemPy Lab

Hard

22.

A uniform ladder 6.5 m long and of weight 250 N leans on a smooth wall, with its foot 2.5 m from…

High School (11–12) · Rotational MotionJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, A-Level, IBStemPy Lab

Hard

23.

A uniform disc of mass 3.0 kg rolls without slipping down a slope at 35°.

High School (11–12) · Rotational MotionJEE Main, NEET, BITSAT, WBJEE, Board Exam, APStemPy Lab

Hard

24.

An 8.0 g bullet is fired into a 1.6 kg block hanging on strings, and stays inside.

High School (11–12) · Momentum and Collisions, Work, Energy and PowerJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, A-Level, IBStemPy Lab

Hard

25.

A 1.5 kg ball moving at 5.0 m/s makes an elastic, off-centre collision with an identical ball at…

High School (11–12) · Momentum and Collisions, Work, Energy and PowerJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, A-LevelStemPy Lab

Hard