List of top Questions asked in IIT JEE

If the weight of an object on earth's surface is 400 N, then weight of the same particle at a depth \(\frac{R}{2}\) from surface would be (R is radius of earth)

For an electron and a proton (mp=1847 me) with same de-broglie wavelength, the ratio of linear momentum is equal to?

The major product of the following reaction is

Let $ \alpha ( a) \, and \, \beta (a) $ be the roots of the equation $ (\sqrt [3] {1 + a} - 1) x^2 - (\sqrt {1 + a} - 1) x + (\sqrt [ 6] {1 + a} - 1) = 0$, where a > - 1. Then, $ lim_{a \to 0^+ } $, $ \alpha (a) \, and \, lim_{a \to 0^+ } \beta $ (a) are

Let $f:(-1,1)\rightarrow$ R be such that $f(cos 4 \theta)=\frac{2}{2-sec^2 \theta}$ for $\theta \in \Bigg(0,\frac{\pi}{4}\Bigg)\cup\Bigg(\frac{\pi}{4},\frac{\pi}{2}\Bigg).$ Then, the value(s) of $f\Bigg(\frac{1}{3}\Bigg)$ is are

The reversible expansion ob an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statement(s) is (are) correct?

The Henry?? law constant for the solubility of $N_2$ gas in water at $298\, K$ is $1.0 \times 10^5\, atm$. The mole fraction of $N_2$ in air is $0.8$. The number of moles of $N_2$ from air dissolved in $10$ moles of water at $298\, K$ and $5 \,atm$ pressure is

The species having bond order different from that in $CO$ is

NH

The energy of a photon is equal to the kinetic energy of a proton. The energy of the photon is E. Let $ \lambda_1 $ be the de-Broglie wavelength of the proton and $ \lambda_2 $ be the wavelength of the photon. The ratio $ \frac{\lambda_1}{\lambda_2} $ is proportional to

Number of lone pair(s') in $XeOF_4$ is/are

The variation of induced emf (e) with time (t) in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as

Which of the following pairs give positive Tollen?s test?

Mixture X= 0.02 mole of $[Co(NH_3)_5SO_4]Br $ and 0.02 mole of $[Co(NH_3)_5Br]SO_4 $ was prepared in 2 L of solution. 1 L of mixture X + excess $AgNO_3 \rightarrow Y $ 1 L of mixture X + excess $BaCI_2 \rightarrow Z $ Number of moles of Y and Z are

The electric potential between a proton and an electron is r given by $V = V_0 in\frac{r}{r_0}, where r_0$ is a constant. Assuming Bohr's model to be applicable, write variation of rn with n, n being the principal quantum number.

One mole of a non-ideal gas undergoes a change of state (2.0 atm, 3.0 L. 95 K ) $\rightarrow$ (4.0 atm. 5 0 L, 245 K) with a change in internal energy, $\Delta$E = 30.0L-atm. The change in enthalpy ($\Delta$ H) of the process in L-atm is

Which one of the following spherical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams

Two circular coils can be arranged in any of the three situations shown in the figure. Their mutual inductance will be

Three rods made of the same material and having the same cross-section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at 0$^{\circ}$C and 90$^{\circ}$C respectively. The temperature of junction of the three rods will be

Three positive charges of equal value q are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in

If $\alpha+\beta=\frac{\pi}{2} and \beta+\gamma$, then $tan \alpha$ equals

The common features among the species $CN^-$, CO and $NO^+$ are

The correct order of hybridisation of the central atom in the following species $NH_3$, $[PtCl_4]^{2-}$ , $PCl_5$, and $BCl_3$ is

A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region