Kf for water is 1.86K kg mol–1. If your automobile radiator holds 1.0 kg of water, how many grams of ethylene glycol (C2

The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u ) in 1000g of water is 1.15 g/mL. The m

2–Hexyne gives trans–2–Hexene on treatment with :

Which branched chain isomer of the hydrocarbon with molecular mass 72u gives only one isomer of mono substituted alkyl h

The equilibrium constant (KC) for the reaction N2(g) + O2(g) $$\to$$ 2NO(g) at temperature T is 4 $$\times$$ 10–4. The v

The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization constant, Ka of this acid is :

The incorrect expression among the following is :

The standard reduction potentials for Zn2+/ Zn, Ni2+/ Ni, and Fe2+/ Fe are –0.76, –0.23 and –0.44 V respectively. The re

Which one of the following statements is correct ?

In the given transformation, which of the following is the most appropriate reagent ?

Which of the following compounds can be detected by Molisch’s test ?

Iodoform can be prepared from all except :

What is DDT among the following?

How many chiral compounds are possible on monochlorination of 2–methyl butane ?

Which among the following will be named as dibromidobis (ethylene diamine) chromium(III) bromide?

Iron exhibits + 2 and +3 oxidation states. Which of the following statements about iron is incorrect?

The molecule having smallest bond angle is :

For a first order reaction, (A) $$\to$$ products, the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. Th

In which of the following pairs the two species are not isostructural ?

Ortho–Nitrophenol is less soluble in water than p– and m– Nitrophenols because :

The increasing order of the ionic radii of the given isoelectronic species is :

The electrons identified by quantum numbers n and l : (a) n = 4, $$l$$ = 1 (b) n = 4, $$ l$$ = 0 (c) n = 3, $$l$$ = 2 (d

Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can be formed such that Y $$ \subseteq $$ X,

Let x1, x2,........., xn be n observations, and let $$\overline x $$ be their arithematic mean and $${\sigma ^2}$$ be th

If $$f:R \to R$$ is a function defined by $$f\left( x \right) = \left[ x \right]\cos \left( {{{2x - 1} \over 2}} \right)

Consider the function, $$f\left( x \right) = \left| {x - 2} \right| + \left| {x - 5} \right|,x \in R$$ Statement - 1 : $

Let $$a,b \in R$$ be such that the function $$f$$ given by $$f\left( x \right) = In\left| x \right| + b{x^2} + ax,\,x \n

Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two unit vectors. If the vectors $$\,\overrightarrow c = \wide

Three numbers are chosen at random without replacement from $$\left\{ {1,2,3,..8} \right\}.$$ The probability that their

The population $$p$$ $$(t)$$ at time $$t$$ of a certain mouse species satisfies the differential equation $${{dp\left( t

If $$g\left( x \right) = \int\limits_0^x {\cos 4t\,dt,} $$ then $$g\left( {x + \pi } \right)$$ equals

The area between the parabolas $${x^2} = {y \over 4}$$ and $${x^2} = 9y$$ and the straight line $$y=2$$ is :

If the $$\int {{{5\tan x} \over {\tan x - 2}}dx = x + a\,\ln \,\left| {\sin x - 2\cos x} \right| + k,} $$ then $$a$$ is

A line is drawn through the point $$(1, 2)$$ to meet the coordinate axes at $$P$$ and $$Q$$ such that it forms a triang

If the line $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}$$ and $${{x - 3} \over 1} = {{y - k} \over 2} =

A spherical balloon is filled with $$4500\pi $$ cubic meters of helium gas. If a leak in the balloon causes the gas to e

An ellipse is drawn by taking a diameter of thec circle $${\left( {x - 1} \right)^2} + {y^2} = 1$$ as its semi-minor axi

The length of the diameter of the circle which touches the $$x$$-axis at the point $$(1, 0)$$ and passes through the poi

If the line $$2x + y = k$$ passes through the point which divides the line segment joining the points $$(1, 1)$$ and $$(

If $$n$$ is a positive integer, then $${\left( {\sqrt 3 + 1} \right)^{2n}} - {\left( {\sqrt 3 - 1} \right)^{2n}}$$ is

Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can b

The equation $${e^{\sin x}} - {e^{ - \sin x}} - 4 = 0$$ has:

If $$z \ne 1$$ and $$\,{{{z^2}} \over {z - 1}}\,$$ is real, then the point represented by the complex number z lies :

Let $$ABCD$$ be a parallelogram such that $$\overrightarrow {AB} = \overrightarrow q ,\overrightarrow {AD} = \overrigh

Truth table for system of four $$NAND$$ gates as shown in figure is:

A diatomic molecule is made of two masses $${m_1}$$ and $${m_2}$$ which are separated by a distance $$r.$$ If we calcula

Assume that a neutron breaks into a proton and an electron. The energy released during this process is : (mass of neutr

Hydrogen atom is excited from ground state to another state with principal quantum number equal to $$4.$$ Then the numbe

An object $$2.4$$ $$m$$ in front of a lens forms a sharp image on a film $$12$$ $$cm$$ behind the lens. A glass plate $

An electromagnetic wave in vacuum has the electric and magnetic field $$\mathop E\limits^ \to $$and $$\mathop B\limits^

In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is

A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. Whe

A charge $$Q$$ is uniformly distributed over the surface of non-conducting disc of radius $$R.$$ The disc rotates about

The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant $$\tau $$ of t

A particle of mass $$m$$ is at rest at the origin at time $$t=0.$$ It is subjected to a force $$F\left( t \right) = {F_0

Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic fi

The mass of a spaceship is $$1000$$ $$kg.$$ It is to be launched from the earth's surface out into free space. The value

Two electric bulbs marked $$25W$$ $$-$$ $$220$$ $$V$$ and $$100W$$ $$-$$ $$220V$$ are connected in series to a $$440$$ $

This question has statement- $$1$$ and statement- $$2.$$ Of the four choices given after the statements, choose the one

In a uniformly charged sphere of total charge $$Q$$ and radius $$R,$$ the electric field $$E$$ is plotted as function of

A cylindrical tube, open at both ends, has a fundamental frequency, $$f,$$ in air. The tube is dipped vertically in wate

A wooden wheel of radius $$R$$ is made of two semicircular part (see figure). The two parts are held together by a ring

Helium gas goes through a cycle $$ABCD$$ (consisting of two isochoric and isobaric lines) as shown in figure efficiency

A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $$1.5 \times {10^{ - 2}}\,\,N$

This question has Statement $$1$$ and Statement $$2.$$ Of the four choices given after the Statements, choose the one th

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they mak

A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Ve

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across