JEE Main questions
34495 published questions with worked solutions.
- The least positive value of 'a' for which the equation, 2x^2+(a-10)x+ 33 2 =2a has real roots is ______________.
- Let the normal at a point P on the curve y^2-3x^2+y+10=0 intersect the y-axis at (0, 3 2 ). If m is the slope of the tangent at P...
- A Carnot engine having an efficiency of 1 10 is being used as a refrigerator. If the work done on the refrigerator is 10 J, the...
- A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00...
- Consider two charged metallic spheres S_1 and S_2 of radii R_1 and R_2, respectively. The electric fields E_1 (on S_1) and E_2...
- Consider a mixture of a n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its C_P...
- A particle moves such that its position vector r (t)= t , i + t , j where is a constant and t is time. Then which of the...
- An electron (mass m) with initial velocity v =v_0 i +v_0 j is in an electric field E =-E_0 k . If _0 is initial de-Broglie...
- A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the...
- A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown...
- A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 10^4 N. When the tension is...
- A galvanometer having a coil resistance 100 gives a full scale deflection when a current of 1 mA is passed through it. What is...
- In a double-slit experiment, at a certain point on the screen the path difference between the two interfering waves is 1 8 th of...
- The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20 and 5 , is connected...
- A ball is dropped from the top of a 100 m high tower on a planet. In the last 1 2 s before hitting the ground, it covers a...
- An asteroid is moving directly towards the centre of the earth. When at a distance of 10 R (R is the radius of the earth) from...
- The increasing order of the atomic radii of the following elements is : (a) C (b) O (c) F (d) Cl (e) Br
- For the following Assertion and Reason, the correct option is : Assertion : The pH of water increase with increase in...
- White phosphorus on reaction with concentrated NaOH solution in an inert atmosphere of CO_2 gives phosphine and compound (X). (X)...
- Among (a) – (d), the complexes that can display geometrical isomerism are : (a) [ Pt(NH_3)_3Cl ]^+ (b) [ Pt(NH_3)Cl_5 ]^- (c) [...