The 1st, 2nd and 3rd ionisation enthalpies, I1, I2 and I3, of four atoms with atomic numbers n, n + 1, n + 2, and n + 3,

Consider the following compounds in the liquid form :O2, HF, H2O, NH3, H2O2, CCl4, CHCl3, C6H6, C6H5ClWhen a charged com

In the chemical reaction between stoichiometric quantities of KMnO4 and KI in weakly basic solution, what is the number

An acidified solution of potassium chromate was layered with an equal volume of amyl alcohol. When it was shaken after t

The structure of a peptide is given below. If the absolute values of the net charge of the peptide at $\mathrm{pH}$ $=2$

An organic compound (C8H10O2) rotates plane-porarised light. It produces pink color with neutral FeCl3 solution. What is

In an experiment, m grams of a compound X (gas/liquid/solid) taken in a container is loaded in a balance as shown in fig

Which of the following plots is(are) correct for the given reaction?([P]0 is the initial concentration of P)

Which among the following statement(s) is/are true for the extraction of aluminium from bauxite?

Choose the correct statement(s) among the following :

Consider the following four compounds, I, II, III, and IV. Choose the correct statement(s)

Consider the following transformations of a compound P. Choose the correct option(s).

A solution of 0.1 M weak base (B) is titrated with 0.1 M of a strong acid (HA). The variation of pH of the solution with

Liquids A and B form ideal solution for all compositions of A and B at 25$$^\circ $$C. Two such solutions with 0.25 and

The figure below is the plot of potential energy versus internuclear distance (d) of H2 molecule in the electronic groun

Consider the reaction sequence from P to Q shown below. The overall yield of the major product Q from P is 75%. What is

Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (

An acidified solution of 0.05 M Zn2+ is saturated with 0.1 M H2S. What is the minimum molar concentration (M) of H+ requ

For a complex number z, let Re(z) denote that real part of z. Let S be the set of all complex numbers z satisfying $${z^

The probability that a missile hits a target successfully is 0.75. In order to destroy the target completely, at least t

Let O be the centre of the circle x2 + y2 = r2, where $$r > {{\sqrt 5 } \over 2}$$. Suppose PQ is a chord of this cir

The trace of a square matrix is defined to be the sum of its diagonal entries. If A is a 2 $$ \times $$ 2 matrix such th

Let the functions $$f:( - 1,1) \to R$$ and $$g:( - 1,1) \to ( - 1,1)$$ be defined by $$f(x) = |2x - 1| + |2x + 1|$$ and

The value of the limit$$\mathop {\lim }\limits_{x \to {\pi \over 2}} {{4\sqrt 2 (\sin 3x + \sin x)} \over {\left( {2\si

Let b be a nonzero real number. Suppose f : R $$ \to $$ R is a differentiable function such that f(0) = 1. If the deriva

Let a and b be positive real numbers such that a > 1 and b < a. Let P be a point in the first quadrant that lies o

Let f : R $$ \to $$ R and g : R $$ \to $$ R be functions satisfying f(x + y) = f(x) + f(y) + f(x)f(y) and f(x) = xg(x) f

Let $$\alpha $$2 + $$\beta $$2 + $$\gamma $$2 $$ \ne $$ 0 and $$\alpha $$ + $$\gamma $$ = 1. Suppose the point (3, 2, $$

Let a and b be positive real numbers. Suppose $$PQ = a\widehat i + b\widehat j$$ and $$PS = a\widehat i - b\widehat j$$

For non-negative integers s and r, let$$\left( {\matrix{ s \cr r \cr } } \right) = \left\{ {\matrix{ {{{s

An engineer is required to visit a factory for exactly four days during the first 15 days of every month and it is manda

In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way that each of

Two fair dice, each with faces numbered 1, 2, 3, 4, 5 and 6, are rolled together and the sum of the numbers on the faces

Let the function f : [0, 1] $$ \to $$ R be defined by$$f(x) = {{{4^x}} \over {{4^x} + 2}}$$Then the value of $$f\left( {

Let $$f:R \to R$$ be a differentiable function such that its derivative f' is continuous and f($$\pi $$) = $$-$$6.If $$F

Let the function $$f:(0,\pi ) \to R$$ be defined by $$f(\theta ) = {(\sin \theta + \cos \theta )^2} + {(\sin \theta -

A train with cross-sectional area St is moving with speed vt inside a long tunnel of cross-sectional area S0 (S0 = 4St).

A large square container with thin transparent vertical walls and filled with water (refractive index $${4 \over 3}$$) i

A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total mass is 480 kg. It

A thermally isolated cylindrical closed vessel of height 8 m is kept vertically. It is divided into two equal parts by a

Two large circular discs separated by a distance of 0.01 m are connected to a battery via a switch as shown in the figur

A point charge q of mass m is suspended vertically by a string of length l. A point dipole of dipole moment $$\overright

A beaker of radius r is filled with water (refractive index $${4 \over 3}$$) up to a height H as shown in the figure on

A student skates up a ramp that makes an angle 30$$^\circ$$ with the horizontal. He/she starts (as shown in the figure)

A rod of mass m and length L, pivoted at one of its ends, is hanging vertically. A bullet of the same mass moving at spe

In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance d fr

Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-c

Starting at time t = 0 from the origin with speed 1 ms-1, a particle follows a two-dimensional trajectory in the x-y pla

A spherical bubble inside water has radius R. Take the pressure inside the bubble and the water pressure to be p0. The b

In the balanced condition, the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure

Two capacitors with capacitance values C1 = 2000 $$ \pm $$ 10 pF and C2 = 3000 $$ \pm $$ 15 pF are connected in series.

A cubical solid aluminium (bulk modulus = $$ - V{{dP} \over {dV}} = 70GPa$$) block has an edge length of 1 m on the surf

The inductors of two LR circuits are placed next to each other, as shown in the figure. The values of the self-inductanc

A container with 1 kg of water in it is kept in sunlight, which causes the water to get warmer than the surroundings. Th