JEE Advanced questions
3844 published questions with worked solutions.
- The 2s and the 2p orbital energies of hydrogen atom are E_ 2s (H) and E_ 2p (H), respectively. The 2s and the 2p orbital energies...
- Correct statement(s) about the compounds X, Y and Z is(are) MnO_2 + Conc. HCl ⟶ MnCl_2 + X (greenish yellow gas) + H_2O NH_3 + X...
- The total number of all possible isomers for the square planar complex with formula K[M(NCS)(NO_2)(gly)] is ____. (M = metal ion...
- Treatment of buta-1,3-diyne with NaNH_2 (2 equivalents), followed by reaction with excess of trans- CH_3 - CH = CH - CH_2 - Br...
- Let a, b be two vectors, and let P, Q and R be the points with position vectors a, b and a+ b, respectively, with respect to the...
- Let T be the tangent to the parabola y^2=16x at the point (64,32). Let L be the tangent to the same parabola at another point...
- Let y:(- , ) (0, ) be the solution of the differential equation dy dx = e^ 5x y^3+y^3 e^x+e^x y^4 , satisfying y(0)= 1 2 . Then...
- Let a,b,c be positive integers in arithmetic progression such that the equation ax^2+bx+c=0 has only integer solutions. Then...
- Let L be the straight line joining the points P(1,2,-1) and Q(2,3,1). Let S be the foot of the perpendicular drawn from the point...
- Let y=f(x) be the real valued function defined on the interval (0, ), satisfying y(1)=0 and the differential equation x , dy dx...
- Let N denote the set of all positive integers. Consider the sets A= 1,2,3,4,5 and B= 1,2,3,4,5,6,7 . Let S be the set of all...
- Consider a data consisting of 10 observations x_1,x_2, ,x_ 10 , whose mean is 5 and variance is 7. If the mean and the variance...
- Consider the ellipse E given by x^2 18 + y^2 12 =1. Let H be the hyperbola whose eccentricity is the reciprocal of the...
- For a real number , let [ ] denote the greatest integer less than or equal to . For a finite set S, let |S| denote the number of...
- A metal wire of cross-sectional area 0.5 mm ^2 and length 100 m is connected across a battery of e.m.f. 2 V and internal...
- A nuclear reactor starts producing a radioactive nuclide X from t=0, at a constant rate of per second. Each decay of X produces...
- A beam of polychromatic light passes through a thin prism of prism angle 6^ . The refractive index of the material of the prism...
- In a vacuum chamber, a particle of charge 1 C and mass 1 mg is projected with a velocity ( i+2 j ) ms ^ -1 from the XZ plane at...
- Two charges Q_1=q and Q_2=mq are placed at the points P_1(a,b) and P_2(ma,mb), respectively, in the XY plane, where a,b 0 and m...
- Consider an electric dipole comprising two charges +q and -q each with mass m, separated by a fixed distance d and initially at...