The major product obtained in the given reaction is :

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

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

The correct statement is :

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

The correct option among the following is :

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 :

Points I, II and III in the following plot respectively correspond to (Vmp : most probable velocity)

The INCORRECT statement is :

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

The number of pentagons in C60 and trigons (triangles) in white phosphorus, respectively, are :

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

A hydrated solid X on heating initially gives a monohydrated compound Y. Y upon heating above 373 K leads to an anhydro

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

The correct match between Item-I and Item-II is : .tg {border-collapse:collapse;border-spacing:0;} .tg td{font-fami

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

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

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

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

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

The correct statements among (a) to (d) are : (a) saline hydrides produce H2 gas when reacted with H2O. (b) reaction of

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

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

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

Air pollution that occurs in sunlight is :

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

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

The locus of the centres of the circles, which touch the circle, x2 + y2 = 1 externally, also touch the y-axis and lie

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

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 sum $$1 + {{{1^3} + {2^3}} \over {1 + 2}} + {{{1^3} + {2^3} + {3^3}} \over {1 + 2 + 3}} + ...... + {{{1^3} + {2^3} +

If the plane 2x – y + 2z + 3 = 0 has the distances $${1 \over 3}$$ and $${2 \over 3}$$ units from the planes 4x – 2y +

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

The angles A, B and C of a triangle ABC are in A.P. and a : b = 1 : $$\sqrt 3 $$. If c = 4 cm, then the area (in sq. cm)

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

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

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

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

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

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

If the line ax + y = c, touches both the curves x2 + y2 = 1 and y2 = 4$$\sqrt 2 $$x , then |c| 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 :

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

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

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

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

The tangent and normal to the ellipse 3x2 + 5y2 = 32 at the point P(2, 2) meet the x-axis at Q and R, respectively. Th

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

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

A perpendicular is drawn from a point on the line $${{x - 1} \over 2} = {{y + 1} \over { - 1}} = {z \over 1}$$ to the p

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 negation of the Boolean expression ~ s $$ \vee $$ (~r $$ \wedge $$ s) is equivalent to :

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

If the tangent to the curve $$y = {x \over {{x^2} - 3}}$$ , $$x \in \rho ,\left( {x \ne \pm \sqrt 3 } \right)$$, at a p

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

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

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

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.

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

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

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

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

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

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

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

Two radioactive substances A and B have decay constants 5$$\lambda $$ and $$\lambda $$ respectively. At t = 0, a sample

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

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

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

A source of sound S is moving with a velocity of 50 m/s towards a stationary observer. The observer measures the frequen

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

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

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

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

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

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

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

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

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

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

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

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