Practice/Question bank/JEE Main

JEE Main practice questions

NTA-style Physics, Chemistry and Maths MCQs with solutions. 2,688 questions in the bank.

  1. 1A leak proof cylinder of length 1m, made of a metal which has very low coefficient of expansion is floating vertically in water at 0ºC such…Physics· Mechanical Properties of Fluids· Moderate· figure
  2. 2A thin metal rod of length L_0 is shaped into a ring with a small gap x as shown. On heating the systemPhysics· Mechanical properties of solid· Moderate· figure
  3. 3Water flows in a horizontal tube (see figure). The pressure of water changes by [IMAGE] between Aand B where the area of cross section are…Physics· Mechanical Properties of Fluids· Moderate· figure
  4. 4A small spherical droplet of density d is floating exactly half immerse in a liquid of density [IMAGE] and surface tension T. The radius of…Physics· Mechanical Properties of Fluids· Moderate· figure
  5. 5A litre of hydrogen at [IMAGE] and [IMAGE] pressure expands isothermally until its volume becomes double and then expands adiabatically…Physics· Thermodynamics· Moderate· figure
  6. 6[IMAGE] gas follows the process, [IMAGE] constant. If then the ratio of work done by gas to change in itsinternal energy is [IMAGE] then n…Physics· Thermodynamics· Moderate· figure
  7. 7A non-isotropic solid metal cube has coefficients of linear expansion as:$5 \times \ 10^{–5}\ /{^\circ}C$ along the x-axis and $5 \times…Physics· Thermal properties of matter· Moderate
  8. 8An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and…Physics· Mechanical Properties of Fluids· Moderate
  9. 9A uniform elastic rod of cross-section area A, natural length L and Young's modulus Y is placed on a smooth horizontal surface. Now two…Physics· Mechanical properties of matter· Tough· figure
  10. 10Two liquids of densities [IMAGE] are filled up behind a square wall of side 10m as shown in figure. Each liquid has a height of 5 m. The…Physics· Mechanical Properties of Fluids· Moderate· figure
  11. 11A U tube filled with a liquid is accelerating horizontally with an acceleration a. The acceleration (in m/s^2) of the tube is: æo ls Hkjh…Physics· Mechanical Properties of Fluids· Moderate· figure
  12. 12The surface tension of a liquid is 5 Newton per metre. If a film of this liquid is held on a ring of area 0.02 m^2, if its surface energy…Physics· Mechanical Properties of Fluids· Moderate· figure
  13. 13A ring shaped tube contains two ideal gases with equal masses and atomic mass numbers M_1=32 and M_2=28. The gases are separated by one…Physics· Kinetic Theory of Gases· Tough· figure
  14. 14A simple open U-tube contains mercury. Now water is poured slowly upto height 27.2 cm in the left arm. How high (in cm) does the mercury…Physics· Mechanical properties of liquid· Moderate· figure
  15. 15A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engineperforms 1200 J of work per cycle. The heat…Physics· Thermodynamics· Moderate· figure
  16. 16One mole of an ideal gas is kept enclosed under a light piston (area=[IMAGE] ) connected by acompressed spring (spring constant 100 N / m).…Physics· Behaviour of perfect gases· Moderate· figure
  17. 17A rubber cord has a cross-section area 1 cm^2 and natural length of [IMAGE] It is stretched by [IMAGE] to fire a small object of…Physics· Elasticity· Moderate· figure
  18. 18Figure below shows two paths that may be taken by a gas to go from a state A to a state C. [IMAGE] In process AB, 400J of heat is added to…Physics· Thermodynamics· Moderate· figure
  19. 19Figure shows the variation of internal energy "U" with the density "$\rho$ " of one mole of ideal diatomic gas. Process BA is a part of…Physics· Thermodynamics· tough· figure
  20. 20If $\rho$ is density of the material of a uniform rope of length $\mathcal{l}$ and $\sigma$ is the breaking stress. It is rotated in…Physics· Mechanical properties of matter· Moderate· figure
  21. 21If N Joules of heat is to be transferred to nitrogen in the isobaric heating process for that gas to perform the work A =2.0 J then the…Physics· Isobaric process· Moderate· figure
  22. 22The ratio of r.m.s. speed to the r.ms. angular speed of a diatomic gas at certain temperature is:(assume m= mass of one molecule mass I =…Physics· Kinetic Theory of Gases· Moderate
  23. 2370 calories of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 30°C to 35°C (R= 2 cal…Physics· Kinetic Theory of Gases· Moderate· figure
  24. 24One mole of an ideal gas at pressure P_0, volume V_0 and temperature T_0 is expanded isothermally to twice its volume and then compressed…Physics· Thermodynamics· Moderate· figure