List of top Questions asked in JEE Advanced- 1997

The circuit shown in the figure contains two diodes each with a forward resistance of 50 \(\Omega\) and with infinite backward resistance. If the battery voltage is 6 V, the current through the 100 \(\Omega\) resistance (in ampere) is
 

Which one of the following compounds has $sp^2-$ hybridisation?

Among $KO_2$, $AlO_2^-$ , $BaO_2$ and $NO_2^+$, unpaired electron is present in

The equation $\sqrt{x+1}-\sqrt{x-1}=\sqrt{4x-1}$ has

A steady current flows in a metallic conductor of non-uniform cross-section. The quantity/quantities constant along the length of the conductor is/are

Which contains both polar and non-polar bonds?

A non-conducting ring of radius 0.5 m carries a total charge of $1.11 \times 10^{-10}\, \, C$ distributed non-uniformly on its circumference producing an electric field E everywhere in space. The value of the integral $\int\limits^{l=0}_{l=\infty}-E.dl$ (l = 0 being centre of the ring) in volt is

An electron of mass $m_e$, initially at rest, moves through a certain distance in a uniform electric field in time $t_1$ A proton of mass $m_p$, also, initially at rest, takes time $t_2$ to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio $t_2 / t_1$ l is nearly equal to

An eye specialist prescribes spectacles having combination of convex lens of focal length 40 cm in contact with a concave lens of focal length 25 cm. The power of this lens combination in diopters is

Which of the following is an organometallic compound?

The parameter on which the value of the determinant $\Rightarrow \Delta=\begin{vmatrix}1& a & a^2\\ \cos(p-d)x& \cos\ px & \cos(p+d)x\\ \sin(p-d)x& \sin\ px& \sin(p+d)x\\ \end{vmatrix}$ does not depend upon, is

The number of moles of $KMnO_4$ that will be needed to react completely with one mole of ferrous oxalate in acidic medium is

The maximum kinetic energy of photoelectrons emitted from a surface when photons of energy 6 eV fall on it is 4 eV. The stopping potential in volt is

The critical temperature of water is higher than that of $O_2$ because the $H_2O$ molecule has

The compressibility factor of an ideal gas is

The average translational energy and the rms speed of molecules in a sample of oxygen gas at 300 K are $6.21 \times 10^{-21}$ J and 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)

During debromination of meso-2,3-dibromobutane, the major compound formed is

(CH$_3 )_3$CMgCl on treatment with D$_2O$ produces

In Cannizzaro's reaction, the intermediate which is the best hydride donor is

Which one of the following species is not a pseudo halide?

The standard reduction potentials of $Cu^{2+} / Cu $ and $Cu^{2+} / Cu^+$ are 0.337 V and 0.153 V respectively. The standard electrode potential of $Cu^+ /Cu$ half-cell is

How many optically active stereoisomers are possible for butane-2, 3-diol ?

When cyclohexane is poured on water, it floats because

Which of the following compounds is expected to be coloured?

Ammonium dichromate is used in some fireworks. The green coloured powder blown in the air is