JEE Advanced questions
3844 published questions with worked solutions.
- Let = 1 60^ 61^ + 1 62^ 63^ + + 1 118^ 119^ . Then the value of ( cosec ,1^ )^2 is _____.
- If = _ 1 2 ^ 2 ^ -1 x 2x^2 - 3x + 2 ,dx, then the value of 7 ( 2 7 ) is _____. (Here, the inverse trigonometric function ^ -1 x...
- Consider a star of mass m_2 kg revolving in a circular orbit around another star of mass m_1 kg with m_1 m_2. The heavier star...
- A positive point charge of 10^ -8 C is kept at a distance of 20 cm from the center of a neutral conducting sphere of radius 10...
- The efficiency of a Carnot engine operating with a hot reservoir kept at a temperature of 1000 K is 0.4. It extracts 150 J of...
- A hydrogen atom, initially at rest in its ground state, absorbs a photon of frequency _1 and ejects the electron with a kinetic...
- A geostationary satellite above the equator is orbiting around the earth at a fixed distance r_1 from the center of the earth. A...
- A projectile of mass 200 g is launched in a viscous medium at an angle 60° with the horizontal, with an initial velocity of 270...
- During sodium nitroprusside test of sulphide ion in an aqueous solution, one of the ligands coordinated to the metal ion is...
- The complete hydrolysis of ICl, ClF_3 and BrF_5 , respectively, gives
- The correct statement(s) about intermolecular forces is(are)
- The density (in g cm⁻³) of the metal which forms a cubic close packed (ccp) lattice with an axial distance (edge length) equal to...Not in JEE Main or NEET syllabus
- The solubility of barium iodate in an aqueous solution prepared by mixing 200 mL of 0.010 M barium nitrate with 100 mL of 0.10 M...
- Adsorption of phenol from its aqueous solution on to fly ash obeys Freundlich isotherm. At a given temperature, from 10 mg g⁻¹...Not in JEE Main or NEET syllabus
- Consider a reaction A + R ⟶ Product. The rate of this reaction is measured to be k[A][R]. At the start of the reaction, the...
- At 300 K, an ideal dilute solution of a macromolecule exerts osmotic pressure that is expressed in terms of the height (h) of the...
- An electrochemical cell is fueled by the combustion of butane at 1 bar and 298 K. Its cell potential is X F 10^3 volts, where F...
- The sum of the spin only magnetic moment values (in B.M.) of [Mn(Br)_6]^ 3- and [Mn(CN)_6]^ 3- is _____.
- A linear octasaccharide (molar mass = 1024 g mol⁻¹) on complete hydrolysis produces three monosaccharides: ribose, 2-deoxyribose...
- A resistance of 2 Ω is connected across one gap of a metre-bridge (the length of the wire is 100 cm) and an unknown resistance,...