Practice/Question bank/JEE Main

JEE Main practice questions

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

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  1. 1On a smooth pulley of radius R hangs a homogeneous flexible rope of mass / length λ and length  (Fig.). Find the maximum tension in the…Physics· Moderate· figure
  2. 2Position of a particle moving on x-axis as a function of time t is given by $x = \left( t^{3} - 6t^{2} + 3t + 4 \right)$meter. What is the…Physics· Motion in 1D· Moderate
  3. 3A point moves in a straight line under the retardation av^2, where is a positive constant and v is speed. If the initial speed is u, the…Physics· Motion in 1D· Tough
  4. 4The velocity of an object moving rectilinearly is given as a function of time by $v = 4t - 3t^{2}$, where v is in m/s and t is in seconds.…Physics· Motion in 1D· Moderate
  5. 5Initially two particles A and B are present at (0,0) and (d, 0) respectively. They start moving with speed ${\overset{\rightarrow}{v}}_{A}…Physics· Relative motion· Hard· figure
  6. 6The velocity v (in cm/sec) of a particle is given in terms of time t (in sec) by the equation:$v = at + \frac{b}{t\ + \ c}$ The dimensions…Physics· Error analysis· Moderate
  7. 7If the velocity of light denoted by acceleration due to gravity are taken as fundamental units, then the dimensions of length will bePhysics· Unit and dimension· Moderate
  8. 8Rain is falling with constant and uniform velocity v at angle 37º vertical. An observer starts from rest and moves with uniform…Physics· Relative motion· Tough· figure
  9. 9A physical quantity A is related to fourobservation a, b, c and d as follows$A = \frac{a^{2}b^{3}}{c\sqrt{d}}$ The percentage errors of…Physics· Error analysis· Easy
  10. 10Dimensions of gravitational constant arePhysics· Unit and dimension· Moderate
  11. 11The van der Waals' equation of state for somegases can be expressed as: $$\left( P + \right)(V - b) = RT$$ Where P is the pressure, V the…Physics· Unit and dimension· Moderate
  12. 12A force F is given by: F = at + bt^2, where t represents time. What are dimensions of a and b?Physics· Unit and dimension· Moderate
  13. 13Two seconds after projection, a projectile is travelling in a direction inclined at 30º to the horizontal after one more second, it is…Physics· Projectile Motion· Tough
  14. 14The pressure on a square plate is measured by measuring the force on the plate and the lengthof the sides of plate. If the maximum error in…Physics· Error analysis· Easy
  15. 15Error in the measurement of radius of a sphere is1.What is the percentage error in the calculated value of its volume?Physics· Error analysis· Easy
  16. 16A particle at a height from the ground is projected with an angle 30º fromthe horizontal, it strikes the ground making angle 45º with…Physics· Projectile Motion· Moderate· figure
  17. 17A wire has a mass $0.3\ \pm \ 0.003$ g, radius $0.5\ 0 \pm 0.005$cm and length $6 \pm 0.06$cm. What is the maximum percentage error in the…Physics· Error analysis· Moderate
  18. 18A plane is flying with an air speed 10 m/s toward north but suddenly encounters a wind of 10 m/ s at 30º north of east. If angle made by…Physics· Relative motion· Moderate· figure
  19. 19The velocity time relation of an electron starting from rest is given by v=K t, where K=2 m/s^2. The distance traversed in 3 sec is 3n then…Physics· Motion in 1D· Easy
  20. 20A particle moves along x-axis with initial position x=0. Its velocity varies with x-coordinate as shown in graph. The acceleration 'a" of…Physics· Motion in 1D· Moderate· figure
  21. 21The variation of velocity with time of a toy car moving along a straight line is as shown below. Which of the following graphs correctly…Physics· Motion in 1D· Moderate· figure
  22. 22A particle is projected up an inclined plane of inclination $\beta$ at an elevation $\alpha$ to the horizontal. If the particle strikes the…Physics· Projectile Motion· Tough
  23. 23A balloon rises from rest on the ground with constant acceleration $\left( \frac{g}{8} \right)$. A stone is dropped when the balloon has…Physics· Motion in 1D· Tough
  24. 24A particle is projected vertically upwards. It will be at $\left( \frac{3}{4} \right)$^th of its greatest height at time $t = t_{1}$and $t…Physics· Motion in 1D· Moderate
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