JEE Main questions
34495 published questions with worked solutions.
- Let y=y(x) be the solution of the differential equation x dy dx - 2y = x^3(2-x^3) ^2 y, x 0. If y(2)=0, then (y(1)) is equal to
- In a G.P., if the product of the first three terms is 27 and the set of all possible values for the sum of its first three terms...
- For some (0, 2 ), let the eccentricity and the length of the latus rectum of the hyperbola x^2 - y^2 ^2 = 8 be e_1 and _1,...
- The value of _ r=1 ^ 20 ( ( _0^r x| x|dx ) ) is _____.
- Let PQR be a triangle such that PQ = -2 i - j +2 k and PR = a i +b j -4 k , a,b Z. Let S be the point on QR, which is equidistant...
- 10 kg of ice at -10°C is added to 100 kg of water to lower its temperature from 25°C. Consider no heat exchange to surroundings....
- Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop strikes the floor when the...
- An atom ^8_3X is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 protons and 9...
- The electric field of an electromagnetic wave travelling through a medium is given by E (x,t) = 25 (2.0 10^ 15 t - 10^7x) n then...
- For the two cells having same EMF E and internal resistance r, the current passing through the external resistor 6 is same when...
- Two wires A and B made of different materials of length 6.0 cm and 5.4 cm, respectively and area of cross sections 3.0 10^ -5 m^2...
- A block of mass 5 kg is moving on an inclined plane which makes an angle of 30° with the horizontal. Friction coefficient between...
- Given below are two statements : Statement-I : A plane wave after passing through prism remains as plane wave but passing through...
- When both jaws of vernier callipers touch each other, zero mark of the vernier scale is right to zero mark of main scale, 4^ th...
- The magnetic field at the centre of a current carrying circular loop of radius R is 16 T. The magnetic field at a distance x= 3 R...
- The displacement of a particle, executing simple harmonic motion with time period T, is expressed as x(t) = A t, where A is the...
- The ratio of de Broglie wavelength of a deutron with kinetic energy E to that of an alpha particle with kinetic energy 2E, is...
- A solid sphere of radius 10 cm is rotating about an axis which is at a distance 15 cm from its centre. The radius of gyration...
- A convex lens of refractive index 1.5 and focal length f=18cm is immersed in water. The difference in focal lengths of the given...
- At T(K), 2 moles of liquid A and 3 moles of liquid B are mixed. The vapour pressure of ideal solution formed is 320 mm Hg. At...