The increasing order of the boiling points for the following compounds is :

Among the following compounds, the increasing order of their basic strength is :

Which of the following compounds will show highest dipole moment ?

In the following reaction sequence : The compound I is :

The major product of the following reaction is :

In the following structure, the double bonds are marked as I, II, III and IV Geometrical isomerism is not possible at s

Which of the following compounds is most reactive to an aqueous solution of sodium carbonate ?

[Co2(CO)8] displays :

Which of the following ions does not liberate hydrogen gas on reaction with dilute acids ?

The incorrect statement among the following is :

A compound of molecular formula C8H8O2 reacts with acetophenone to form a single cross-aldol product in the presence of

The group having triangular planar structures is :

To find the standard potential of M3+/M electrode,the following cell is constituted : Pt/M/M3+(0.001 mol L−1 )/Ag+(0.01

Which one of the following is an oxide?

The following reaction occurs in the Blast Furnace where iron ore is reduced to iron metal : Fe2O3(s) + 3 CO(g) $$\right

The electronic configuration with the highest ionization enthalpy is :

The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction

A solution is prepared by mixing 8.5 g of CH2Cl2 and 11.95 g of CHCl3 . If vapour pressure of CH2Cl2 and CHCl3 at 298

A gas undergoes change from state A to state B. In this process, the heat absorbed and work done by the gas is 5 J and 8

What quantity (in mL) of a 45% acid solution of a mono-protic strong acid must be mixed with a 20% solution of the same

The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transiti

50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If pKb of ammonia solution is 4.75, the pH of the mi

An ideal gas undergoes isothermal expansion at constant pressure. During the process :

If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :

The coefficient of x−5 in the binomial expansion of $${\left( {{{x + 1} \over {{x^{{2 \over 3}}} - {x^{{1 \over 3}}} +

The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B1 and a particular g

For two 3 × 3 matrices A and B, let A + B = 2BT and 3A + 2B = I3, where BT is the transpose of B and I3 is 3 × 3 identi

The equation Im $$\left( {{{iz - 2} \over {z - i}}} \right)$$ + 1 = 0, z $$ \in $$ C, z $$ \ne $$ i represents a part of

The sum of all the real values of x satisfying the equation 2(x$$-$$1)(x2 + 5x $$-$$ 50) = 1 is :

The function f : N $$ \to $$ N defined by f (x) = x $$-$$ 5 $$\left[ {{x \over 5}} \right],$$ Where N is the set of natu

The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60o. If the area of the quadr

The sum of 100 observations and the sum of their squares are 400 and 2475, respectively. Later on, three observations, 3

Let E and F be two independent events. The probability that both E and F happen is $${1 \over {12}}$$ and the probabilit

A value of x satisfying the equation sin[cot−1 (1+ x)] = cos [tan−1 x], is :

If the vector $$\overrightarrow b = 3\widehat j + 4\widehat k$$ is written as the sum of a vector $$\overrightarrow {{

From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woma

The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate axes and passing through the poin

If 2x = y$${^{{1 \over 5}}}$$ + y$${^{ - {1 \over 5}}}$$ and (x2 $$-$$ 1) $${{{d^2}y} \over {d{x^2}}}$$ + $$\lambda $$x

The value of k for which the function $$f\left( x \right) = \left\{ {\matrix{ {{{\left( {{4 \over 5}} \right)}^{{{\t

The function f defined by f(x) = x3 $$-$$ 3x2 + 5x + 7 , is :

If $$\,\,\,$$ f$$\left( {{{3x - 4} \over {3x + 4}}} \right)$$ = x + 2, x $$ \ne $$ $$-$$ $${4 \over 3}$$, and $$\int

Let f be a polynomial function such that f (3x) = f ' (x) . f '' (x), for all x $$ \in $$ R. Then :

A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through th

A line drawn through the point P(4, 7) cuts the circle x2 + y2 = 9 at the points A and B. Then PA⋅PB is equal to :

If    $$\int\limits_1^2 {{{dx} \over {{{\left( {{x^2} - 2x + 4} \right)}^{{3 \over 2}}}}}} = {k \over {k + 5}

In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror

A circular hole of radius $${R \over 4}$$ is made in a thin uniform disc having mass M and radius R, as shown in figure

A conical pendulum of length 1 m makes an angle $$\theta $$ = 45o w.r.t. Z-axis and moves in a circle in the XY plane. T

The machine as shown has 2 rods of length1 m connected by a pivot at the top. The end of one rod is connected to the flo

In an experiment to determine the period of a simple pendulum of length 1 m, it is attached to different spherical bobs

Two particles A and B of equal mass M are moving with the same speed $$\upsilon $$ as shown in the figure. They collide

Imagine that a reactor converts all given mass into energy and that it operates at a power level of 109 watt. The mass

The acceleration of an electron in the first orbit of the hydrogen atom (n = 1) is :

A Laser light of wavelength 660 nm is used to weld Retina detachment. If a Laser pulse of width 60 ms and power 0.5 kW i

A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 $$\mathop A\limits^ \circ $

The mass density of a spherical body is given by $$\rho $$ (r) = $${k \over r}$$ for r $$ \le $$ R and $$\rho $$ (r) =

The electric field component of a monochromatic radiation is given by $$\overrightarrow E $$ = 2 E0 $$\widehat i$$ cos k

A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that R=5

A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is pa

A uniform wire of length 1 and radius r has a resistance of 100 $$\Omega $$. It is recast into a wire of radius $${r \o

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displaceme

N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperatu

Two tubes of radii r1 and r2, and lengths l1 and l2 , respectively, are connected in series and a liquid flows through

A steel rail of length 5 m and area of cross section 40cm2 is prevented from expanding along its length while the tempe

A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different

A physical quantity P is described by the relation P = a$$^{{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em

The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the confi

A uniform magnetic field B of 0.3 T is along the positive Z-direction. A rectangular loop (abcd) of sides 10 cm × 5 cm c

For the P-V diagram given for an ideal gas, out of the following which one correctly represents the T-P diagram ?

In a meter bridge experiment resistances are connected as shown in the figure. Initially resistance P = 4 $$\Omega $$ an

A combination of parallel plate capacitors is maintained at a certain potential difference. When a 3 mm thick slab is

Four closed surfaces and corresponding charge distributions are shown below. Let the respective electric fluxes through