List of top Questions asked in JEE Advanced- 1999

A concave lens of glass, refractive index 1.5 has both surfaces of same radius of curvature R. On immersion in a medium of refractive index 1.75, it will behave as a

Yellow light is used in a single slit diffraction experiment with slit width of 0.6 mm. If yellow light is replaced by X-rays, then the observed pattern will reveal

A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

An elliptical cavity is carved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure.then

For the chemical reaction,$3 X ( g) + Y ( g) \rightleftharpoons \, X_3 \, Y $ ( g) the amount of $X_3 Y$ at equilibrium is affected by

In the dichromate dianion

The correct statement regarding defects in solids is

If $ i = \sqrt -1$ then $ 4 + 5 \bigg(-\frac{1}{2}+\frac{i\sqrt 3}{2}\bigg)^{334}+3\bigg(-\frac{1}{2}+\frac{i\sqrt 3}{2}\bigg)^{365}$ is equal to

A coil of inductance 8.4 mH and resistance $ 6 \Omega$ is connected to a 12 V battery. The current in the coil is 1A at approximately the time

In the circuit shown $P eqR,$ the reading of galvanometer is same with switch S open or closed. Then

In the depression of freezing point experiment, it is found that the

The following statement (s) is are correct

In a $\triangle PQR, \angle R = \frac{\pi}{2} , \, if \, tan \, \bigg( \frac{ P}{2}\bigg) $ and \, tan $ \bigg( \frac{ Q}{2}\bigg)$ are the roots of the equation $ ax^2 + bx + c = 0 \, (a \ne 0 )$, then

The function f (x) = $ [ x]^2 - [ x]^2 $ (where, [x] is the greatest integer less than or equal to x), is discontinuous at

A buffer solution can be prepared from a mixture of

The number of neutrons accompanying the formation of $^{139}_{54}Xe \, \, and \, \, ^{94}_{38}Sr$ from the absorption of a slow neutron by $^{235}_{92}U,$ followed by nuclear fission is

The optically active tartaric acid is named as D-(+)-tartaric acid because it has a positive

Order of magnitude of density of uranium nucleus is $ (m_p = 1.67 \times 10^{-27} Kg ) $

One mole of calcium phosphide on reaction with excess water gives

Binding energy per nucleon versus mass number curve for nuclei is shown in figure. W, X, Y and Z are four nuclei indicated on the curve. The process that would release energy is

A particle of mass M at rest decays into two particles of masses $ m_1 \, and \, \, m_2 $ having non-zero velocities. The ratio of the de-Broglie wavelengths of the particles $ \frac{\lambda_1}{\lambda_2} $ is

Two identical circular loops of metal wire are lying on a table without touching each other. Loop A carries a current which increases with time. In response, the loop B

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K. is

The oxidation number of sulphur in $S_8 , S_2F_2, H_2S$ respectively, are

The normality of 0.3 M phosphorus acid $(H_3PO_3)$ is