The increasing order of nucleophilicity of the following nucleophiles is : (a) CH3CO2$$-$$     &nbsp

The major product 'Y' in the following reaction is :

Which one of the following graphs between molar conductivity ($${\Lambda _m}$$) versus $$\sqrt C $$ is correct ?

The crystal field stabilization energy (CFSE) of [Fe(H2O)6]Cl2 and K2[NiCl4] respectively, are :

Which of these factors does not govern the stability of a conformation in acyclic compounds?

The pH of a 0.02 M NH4Cl solution will be : [given Kb (NH4OH) = 10–5 and log 2 = 0.301]

The difference between $$\Delta $$H and $$\Delta $$U ($$\Delta $$H – $$\Delta $$U), when the combustion of one mole of h

1 g of a non-volatile non-electrolyte solute is dissolved in 100 g of two different solvents A and B whose ebullioscopic

The minimum amount of O2(g) consumed per gram of reactant is for the reaction : (Given atomic mass : Fe = 56, O = 16, Mg

For the reaction, 2SO2(g) + O2(g) = 2SO3(g), $$\Delta $$H = –57.2 kJ mol–1 and KC = 1.7 × 1016 Which of the following

The correct order of the first ionization enthalpies is :

The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The spectral se

Compound A(C9H10O) shows positive iodoform test. Oxidation of A with KMnO4/KOH given acid B(C8H6O4). Anhydride of B is u

The major product 'Y' in the following reactions is :

For the reaction of H2 with I2, the rate constant is 2.5 × 10–4 dm3 mol–1s–1 at 327°C and 1.0 dm3 mol–1 at 527°C. Th

The INCORRECT statement is :

In chromatography, which of the following statements is incorrect for Rf ?

Number of stereo centers present in linear and cyclic structures of glucose are respectively :

The highest possible oxidation states of uranium and plutonium, respectively are :

The noble gas that does not occur in the atmosphere is :

Which of the following is not a correct method of the preparation of benzylamine from cyanobenzene ?

The major product obtained in the given reaction is :

Let f(x) = loge(sin x), (0 < x < $$\pi $$) and g(x) = sin–1 (e–x ), (x $$ \ge $$ 0). If $$\alpha $$ is a positive

A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm3

The number of real roots of the equation 5 + |2x – 1| = 2x (2x – 2) is

If $$\mathop {\lim }\limits_{x \to 1} {{{x^2} - ax + b} \over {x - 1}} = 5$$, then a + b is equal to :

Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99%

If $$\int {{x^5}} {e^{ - {x^2}}}dx = g\left( x \right){e^{ - {x^2}}} + c$$, where c is a constant of integration, then

Let a1, a2, a3,......be an A.P. with a6 = 2. Then the common difference of this A.P., which maximises the product a1a4a5

The distance of the point having position vector $$ - \widehat i + 2\widehat j + 6\widehat k$$ from the straight line p

If $${\cos ^{ - 1}}x - {\cos ^{ - 1}}{y \over 2} = \alpha $$,where –1 $$ \le $$ x $$ \le $$ 1, – 2 $$ \le $$ y $$ \le $$

If both the mean and the standard deviation of 50 observations x1, x2,..., x50 are equal to 16, then the mean of (x1 – 4

Lines are drawn parallel to the line 4x – 3y + 2 = 0, at a distance $${3 \over 5}$$ from the origin. Then which one of

Let y = y(x) be the solution of the differential equation, $${{dy} \over {dx}} + y\tan x = 2x + {x^2}\tan x$$, $$x \in \

Let $$a$$, b and c be in G.P. with common ratio r, where $$a$$ $$ \ne $$ 0 and 0 < r $$ \le $$ $${1 \over 2}$$ . If 3

Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of eac

The integral $$\int\limits_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}} x\cos e{c^{4/3}}xdx$$ is equal to :

The area (in sq.units) of the region bounded by the curves y = 2x and y = |x + 1|, in the first quadrant is :

If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = $${\pi \over 2}$$ , then :

The sum of the real roots of the equation $$\left| {\matrix{ x & { - 6} & { - 1} \cr 2 & { - 3x} &am

If 5x + 9 = 0 is the directrix of the hyperbola 16x2 – 9y2 = 144, then its corresponding focus is :

The smallest natural number n, such that the coefficient of x in the expansion of $${\left( {{x^2} + {1 \over {{x^3}}}}

Let $$\lambda $$ be a real number for which the system of linear equations x + y + z = 6, 4x + $$\lambda $$y – $$\lambda

A submarine experiences a pressure of 5.05 × 106 Pa at a depth of d1 in a sea. When it goes further to a depth of d2, i

A plane is inclined at an angle $$\alpha $$ = 30° with respect to the horizontal. A particle is projected with a speed u

The time dependence of the position of a particle of mass m = 2 is given by $$\overrightarrow r \left( t \right) = 2t\wi

The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is carrying a curr

Two blocks A and B of masses mA = 1 kg and mB = 3 kg are kept on the table as shown in figure. The coefficient of fricti

Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm–2. If the surface has an are

A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of $${{7M} \over 8}$$

In Li+ +, electron in first Bohr orbit is excited to a level by a radiation of wavelength $$\lambda $$. When the ion get

In a Young's double slit experiment, the ratio of the slit's width is 4 : 1. The ratio of the intensity of maxima to min

A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only gravitational field of the

The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 H

In an experiment, brass and steel wires of length 1 m each with areas of cross section 1mm2 are used. The wires are con

A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. if this square loop i

Water from a tap emerges vertically downwards with an initial speed of 1.0 ms–1 . The cross-sectional area of the tap is

One mole of ideal gas passes through a process where pressure and volume obey the relation $$P = {P_0}\left[ {1 - {1 \ov

Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of resistivity $$\rh

The figure represents a voltage regulator circuit using a Zener diode. The breakdown voltage of the Zener diode is 6 V a

A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the figure. The syst

A coil of self inductance 10 mH and resistance 0.1 $$\Omega $$ is connected through a switch to a battery of internal re

A bullet of mass 20 g has an initial speed of 1 ms–1 , just before it starts penetrating a mud wall of thickness 20 cm.

In the formula X = 5YZ2 , X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensio

In free space, a particle A of charge 1$$\mu $$C is held fixed at a point P. Another particle B of the same charge and m

When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $$\Delta $

The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support a 400 N lo

A 2 mW laser operates at wavelength of 500 nm. The number of photons that will be emitted per second is : [Given Planck'

A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight that can be

The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length o

A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E, as sho