The major product of the following reaction

Which is the most suitable reagent for the following transformation ?

The major product obtained in the following reaction is :

What will be the major product in the following mononitration reaction ?

The major product of the following reaction is :

For an elementary chemical reaction, the expression for $${{d\left[ A \right]} \over {dt}}$$ is

What is the IUPAC name of the following compound ?

An aromatic compound 'A' having molecular formula C7H6O2 on treating with aqueous ammonia and heating forms compound 'B'

A reaction of cobalt (III) chloride and ethylenediamine in a 1 : 2 mole ratio generates two isomeric products A (violet

The pair that contains two P – H bonds in each of the oxoacids is

In the cell Pt$$\left| {\left( s \right)} \right|$$H2(g, 1 bar)$$\left| {HCl\left( {aq} \right)} \right|$$AgCl$$\left|

5.1 g NH4SH is introduced in 3.0 L evacuated flask at 327ºC. 30% of the solid NH4SH decomposed to NH3 and H2S as gases .

The correct match between item 'I' and item 'II' is : .tg {border-collapse:collapse;border-spacing:0;width:100%} .tg

An ideal gas undergoes isothermal compression from 5m3 to 1 m3 against a constant external pressure of 4 Nm–2. Heat rel

Elevation in the boiling point for 1 molar solution of glucose is 2 K. The depression in the freezing point for 2 molal

The amount of sugar (C12H22O11) required to prepare 2L of its 0.1 M aqueous solution is :

The process with negative entropy change is :

The difference in the number of unpaired electrons of a metal ion in its high spin and low-spin octahedral complexes is

The 71st electron of an element X with an atomic number of 71 enters into the orbital :

The ground state energy of hydrogen atom is – 13.6 eV. The energy of second excited state of He+ ion in eV is :

Which of the following tests cannot be used for identifying amino acids?

In the reaction of oxalate with permanganate in acidic medium, the number of electrons involved in producing one molecul

If  $$\int\limits_0^x \, $$f(t) dt = x2 + $$\int\limits_x^1 \, $$ t2f(t) dt then f '$$\left( {{1 \over 2}} \

Let f be a differentiable function such that f '(x) = 7 - $${3 \over 4}{{f\left( x \right)} \over x},$$ (x > 0) and f

Let f : ($$-$$1, 1) $$ \to $$ R be a function defined by f(x) = max $$\left\{ { - \left| x \right|, - \sqrt {1 - {x^2}}

The number of values of $$\theta $$ $$ \in $$ (0, $$\pi $$) for which the system of linear equations x + 3y + 7z = 0 $$-

The curve amongst the family of curves represented by the differential equation, (x2 – y2)dx + 2xy dy = 0 which passes t

Let $$z = {\left( {{{\sqrt 3 } \over 2} + {i \over 2}} \right)^5} + {\left( {{{\sqrt 3 } \over 2} - {i \over 2}} \right)

The positive value of $$\lambda $$ for which the co-efficient of x2 in the expression x2 $${\left( {\sqrt x + {\lambda

The value of $$\lambda $$ such that sum of the squares of the roots of the quadratic equation, x2 + (3 – $$\lambda $$)x

Let A = $$\left[ {\matrix{ 2 & b & 1 \cr b & {{b^2} + 1} & b \cr 1 & b & 2 \cr

If $$\overrightarrow \alpha $$ = $$\left( {\lambda - 2} \right)\overrightarrow a + \overrightarrow b $$  an

Let S = $$\left\{ {\left( {x,y} \right) \in {R^2}:{{{y^2}} \over {1 + r}} - {{{x^2}} \over {1 - r}}} \right\};r \ne \pm

The value of   $$\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {\left[ x \right] + \left[ {\sin x} \right] + 4

Two vertices of a triangle are (0, 2) and (4, 3). If its orthocenter is at the origin, then its third vertex lies in whi

Let a1, a2, a3, ..... a10 be in G.P. with ai > 0 for i = 1, 2, ….., 10 and S be the set of pairs (r, k), r, k $$ \in

If  $$\sum\limits_{r = 0}^{25} {\left\{ {{}^{50}{C_r}.{}^{50 - r}{C_{25 - r}}} \right\} = K\left( {^{50}{C_{25

The value of $$\cos {\pi \over {{2^2}}}.\cos {\pi \over {{2^3}}}\,.....\cos {\pi \over {{2^{10}}}}.\sin {\pi \over {

If mean and standard deviation of 5 observations x1, x2, x3, x4, x5 are 10 and 3, respectively, then the variance of 6 o

The value of $$\cot \left( {\sum\limits_{n = 1}^{19} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{p = 1}^n {2p} } \right)

Two sides of a parallelogram are along the lines, x + y = 3 & x – y + 3 = 0. If its diagonals intersect at (2, 4), t

A helicopter is flying along the curve given by y – x3/2 = 7, (x $$ \ge $$ 0). A soldier positioned at the point $$\left

If  $$\int \, $$x5.e$$-$$4x3 dx = $${1 \over {48}}$$e$$-$$4x3 f(x) + C, where C is a constant of inegration, then

If the area of an equilateral triangle inscribed in the circle x2 + y2 + 10x + 12y + c = 0 is $$27\sqrt 3 $$ sq units t

The length of the chord of the parabola x2 $$=$$ 4y having equation x – $$\sqrt 2 y + 4\sqrt 2 = 0$$  is -

Let N be the set of natural numbers and two functions f and g be defined as f, g : N $$ \to $$ N such that f(n) = $$\lef

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see fi

The actual value of resistance R, shown in the figure is 30$$\Omega $$. This is measuered in an experiment as shown usin

The Wheatstone bridge shown in figure, here, gets balanced when the carbon resistor used as R1 has the colour code (Oran

A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect

Charges –q and +q located at A and B, respectively, constitude an electric dipole. Distance AB = 2a, O is the mid point

Consider a Young’s double slit experiment as shown in figure. What should be the slit separation d in terms of wavelengt

For the circuit shown below, the current through the Zener diode is -

A rigid massless rod of length 3l has two masses attached at each end as shown in the figure. The rod is pivoted at poin

Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20oC to 90oC. Work done by gas is clos

A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between it

A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean positio

An unknown metal of mass 192 g heated to a temperature of 100oC was immersed into a brass calorimeter of mass 128 g cont

The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of corn

A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still wa

A particle which is experiencing a force, given by $$\overrightarrow F = 3\widehat i - 12\widehat j,$$ undergoes a disp

A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their magnetic moment

Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle $$\theta $$ with each other. If the force Q is

Two kg of a monoatomic gas is at a pressure of 4 $$ \times $$ 104 N/m2. The density of the gas is 8 kg/m3. What is the o

The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expression $$\ov

Two stars of masses 3 $$ \times $$ 1031 kg each, and at distance 2 $$ \times $$ 1011 m rotate in a plane about their com

A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ide

The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, t

The diameter and height of a cylinder are measured by a meter scale to be 12.6 $$ \pm $$ 0.1 cm and 34.2 $$ \pm $$ 0.1 c

Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. The magnitude of $$\left( {\overri

Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and (0, –2). The work required to

Consider the nuclear fission Ne20 $$ \to $$ 2He4 + C12 Given that the binding energy/ nucleon of Ne20, He4 and C12

A metal plate of area 1 $$ \times $$ 10–4 m2 is illuminated by a radiation of intensity 16 mW/m2. The work function of t