JEE Main questions
34495 published questions with worked solutions.
- If the equation of a plane P, passing through the intersection of the planes, x + 4y – z + 7 = 0 and 3x + y + 5z = 8 is ax + by +...
- Let (2x^2+3x+4)^ 10 = _ r=0 ^ 20 a_rx^r. Then a_7 a_ 13 is equal to _______.
- Suppose a differentiable function f(x) satisfies the identity f(x + y) = f(x) + f(y) + xy^2 + x^2y. for all real x and y. If _ x...
- If the system of equations x-2y+3z=9 2x+y+z=b x-7y+az=24, has infinitely many solutions, then a – b is equal to __________.
- The probability of a man hitting a target is 1 10 . The least number of shots required, so that the probability of his hitting...
- A quantity x is given by (IF v^2/WL^4) in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional...
- A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which the...
- Find the Binding energy per neucleon for ^ 120 _ 50 Sn. Mass of proton m_p = 1.00783 U, mass of neutron m_n = 1.00867 U and mass...
- A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R...
- A paramagnetic sample shows a net magnetization of 6 A/m when it is placed in an external magnetic field of 0.4 T at a...Not in JEE Advanced syllabus
- A particle of charge q and mass m is subjected to an electric field E=E_0(1-ax^2) in the x-direction, where a and E_0 are...
- Consider two uniform discs of the same thickness and different radii R_1=R and R_2= R made of the same material. If the ratio of...
- Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of...
- A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Thereafter,...
- Match the thermodynamic processes taking place in a system with the correct conditions. In the table : Q is the heat supplied, W...
- The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes from 420 Hz to 490 Hz when he...
- A capacitor C is fully charged with voltage V_0. After disconnecting the voltage source, it is connected in parallel with another...
- The electric field of a plane electromagnetic wave is given by E =E_0( x + y ) (kz- t). Its magnetic filed will be given by :
- A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the length of the side of the cube is...
- The change in the magnitude of the volume of an ideal gas when a small additional pressure P is applied at constant temperature,...