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. 1If acceleration of block B w.r.t. A is $2m/s^{2}$just after the system is released from rest, then mass(in kg) of block C will be 5m. Find…Physics· Newton's Laws of Motion· Moderate· figure
  2. 2An elevator of height ascends with constant acceleration When it crosses a platform bolt drops from the top of the elevator. If the time…Physics· Projectile Motion· Tough
  3. 3If the projectile hits the inclined plane perpendicularly when thrown horizontally with $v_{0}$, from a tower of height H as shown then the…Physics· Projectile Motion· Moderate· figure
  4. 4Two stones are in the same horizontal line and are$50\sqrt{5}m$ away. They are projected with a velocity of 10 respectively and with an…Physics· Relative motion· Moderate· figure
  5. 5Consider a particle initially moving with a velocity 7 m/s starts decelerating at a constant rate of$2m/s^{2}$. The distance travelled in…Physics· Kinematics· Moderate· figure
  6. 6The " y ' co-ordinate of the centre of mass of the system of three rods of length as shown in figure is: (Assume all rods to be of uniform…Physics· Center of mass· Easy· figure
  7. 7Two children are playing a game in which they try to hit a small box using a spring-loaded marble gun, which is fixed rigidly to a table is…Physics· Work Power & Energy· Moderate· figure
  8. 8The centre of mass of a non uniform rod of length L whose mass per unit length $\lambda$varies as $\lambda = \frac{k \cdot x^{2}}{L}$where…Physics· Center of mass· Moderate· figure
  9. 9A small smooth disc of mass m and radius r moving with an initial velocity along the positive x-axis collided with a big disc of mass 2 m…Physics· Center of mass· Moderate· figure
  10. 10Initially spring is in natural length and system is at rest. System is released when a particle of mass m collides vertically to block B…Physics· Work Power & Energy· Moderate· figure
  11. 11Three particles each of mass m can slide on fixed frictionless horizontal circular tracks in the same horizontal plane as shown in the…Physics· Center of mass· Tough· figure
  12. 12A body of mass 6 kg is acted upon by a force which causes a displacement in it given by $x = \frac{t^{2}}{4}$ metre where t is the time in…Physics· Work Power & Energy· Moderate
  13. 13A concave mirror of radius of curvature 40 cm is filled with water (n=4/3) upto a height of 12 cm. A point object O is kept on the…Physics· Ray Optics· Moderate· figure
  14. 14There is a small source of light at some depth below the surface of water (refractive index = 4/3) in a tank of large cross sectional…Physics· Ray Optics· Moderate· figure
  15. 15In LC circuit the inductance L= 40 mH and capacitance$C = 100\mu F$. If a voltage V(t)=10 sin (314 t) is applied to the circuit, the…Physics· AC· Moderate· figure
  16. 16A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform magnetic field B perpendicular to…Physics· Moving charges and· Moderate
  17. 17An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a current I. The…Physics· Moving charges and· Moderate
  18. 18In a single slit diffraction of different light of wavelength $\lambda$ by a slit of with t_1, the size of the central maximum on a screen…Physics· Wave Optics· Moderate· figure
  19. 19A fiber sheet with relative permittivity 5 is inserted between two parallel metal plates 0.25 cm apart. A potential difference of 2500 v is…Physics· Capacitance· Moderate· figure
  20. 20In the shown figure three slits, separated by $d = \sqrt{\frac{2\lambda D}{3}}$ and illuminated by monochromatic parallel beam of light of…Physics· Wave Optics· Moderate· figure
  21. 21In the shown figure a ray of light enters the face XY of a right angered prism at grazing incident. It emerges from the adjacent face. YZ…Physics· Ray Optics· Moderate· figure
  22. 22In the potentiometer circuit shown, AB is a $10\Omega$ uniform potentiometer wire of length 50 cm, E_1 is 2V accumulator of negligible…Physics· Current Electricity· Moderate· figure
  23. 23In the figure shown $C_{1} = 11\ \mu F$ and $C_{2} = 5\ \mu F$ then at steady statePhysics· Capacitance· Moderate· figure
  24. 24In the given A.C. circuit, if battery voltage is $V = 200\sqrt{2}sin(100\pi t)$, power delivered by battery will have a power factor ofPhysics· AC· Moderate· figure
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