Given below are two statements : Statement I : The decrease in first ionization enthalpy from B to Al is much larger tha

Given below are two statements : Statement I : Nickel is being used as the catalyst for producing syn gas and edible fat

Which of the following relations are correct? (A) $$\mathrm{\Delta U=q+p\Delta V}$$ (B) $$\mathrm{\Delta G=\Delta H-T\De

A solution of $$\mathrm{Cr O_5}$$ in amyl alcohol has a __________ colour.

According to MO theory the bond orders for $$\mathrm{O}$$$$_2^{2 - }$$, $$\mathrm{CO}$$ and $$\mathrm{NO^+}$$ respective

When a hydrocarbon A undergoes combustion in the presence of air, it requires 9.5 equivalents of oxygen and produces 3 e

The set of correct statements is : (i) Manganese exhibits +7 oxidation state in its oxide. (ii) Ruthenium and Osmium exh

Correct order of spin only magnetic moment of the following complex ions is : (Given At.no. Fe : 26, Co : 27)

Reaction of propanamide with $$\mathrm{Br_2/KOH(aq)}$$ produces :

Following tetrapeptide can be represented as (F, L, D, Y, I, Q, P are one letter codes for amino acids)

Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:soli

The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is (excluding rearrangement)

An indicator 'X' is used for studying the effect of variation in concentration of iodide on the rate of reaction of iodi

Find out the major product for the following reaction.

Find out the major products from the following reaction sequence.

The volume of HCl, containing 73 g L$$^{-1}$$, required to completely neutralise NaOH obtained by reacting 0.69 g of met

The equilibrium constant for the reaction $$\mathrm{Zn(s)+Sn^{2+}(aq)}$$ $$\rightleftharpoons$$ $$\mathrm{Zn^{2+}(aq)+Sn

At 298 K $$\mathrm{N_2~(g)+3H_2~(g)\rightleftharpoons~2NH_3~(g),~K_1=4\times10^5}$$ $$\mathrm{N_2~(g)+O_2~(g)\rightlefth

The denticity of the ligand present in the Fehling's reagent is ___________.

When 0.01 mol of an organic compound containing 60% carbon was burnt completely, 4.4 g of CO$$_2$$ was produced. The mol

Total number of acidic oxides among $$\mathrm{N_2O_3,NO_2,N_2O,Cl_2O_7,SO_2,CO,CaO,Na_2O}$$ and $$\mathrm{NO}$$ is _____

Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 $$\mathrm{\mathop A\limits^o }$$. The radius of t

For conversion of compound A $$\to$$ B, the rate constant of the reaction was found to be $$\mathrm{4.6\times10^{-5}~L~m

Let $$y=y(x)$$ be the solution of the differential equation $$x{\log _e}x{{dy} \over {dx}} + y = {x^2}{\log _e}x,(x > 1)

Let R be a relation defined on $$\mathbb{N}$$ as $$a\mathrm{R}b$$ if $$2a+3b$$ is a multiple of $$5,a,b\in \mathbb{N}$$.

The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a ser

If $$\overrightarrow a = \widehat i + 2\widehat k,\overrightarrow b = \widehat i + \widehat j + \widehat k,\overrighta

The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is :

Let $$\mathrm{S} = \{ {w_1},{w_2},......\} $$ be the sample space associated to a random experiment. Let $$P({w_n}) = {{

Consider a function $$f:\mathbb{N}\to\mathbb{R}$$, satisfying $$f(1)+2f(2)+3f(3)+....+xf(x)=x(x+1)f(x);x\ge2$$ with $$f(

The set of all values of $$\lambda$$ for which the equation $${\cos ^2}2x - 2{\sin ^4}x - 2{\cos ^2}x = \lambda $$ has a

The area of the region $$A = \left\{ {(x,y):\left| {\cos x - \sin x} \right| \le y \le \sin x,0 \le x \le {\pi \over 2}

Let $$\overrightarrow a = 4\widehat i + 3\widehat j$$ and $$\overrightarrow b = 3\widehat i - 4\widehat j + 5\widehat

The value of the integral $$\int_1^2 {\left( {{{{t^4} + 1} \over {{t^6} + 1}}} \right)dt} $$ is

Let K be the sum of the coefficients of the odd powers of $$x$$ in the expansion of $$(1+x)^{99}$$. Let $$a$$ be the mid

The value of the integral $$\int\limits_{1/2}^2 {{{{{\tan }^{ - 1}}x} \over x}dx} $$ is equal to :

The shortest distance between the lines $${{x - 1} \over 2} = {{y + 8} \over -7} = {{z - 4} \over 5}$$ and $${{x - 1} \o

Let $$f$$ and $$g$$ be the twice differentiable functions on $$\mathbb{R}$$ such that $$f''(x)=g''(x)+6x$$ $$f'(1)=4g'(1

The total number of 4-digit numbers whose greatest common divisor with 54 is 2, is __________.

Let $$X=\{11,12,13,....,40,41\}$$ and $$Y=\{61,62,63,....,90,91\}$$ be the two sets of observations. If $$\overline x $$

Let $$\alpha = 8 - 14i,A = \left\{ {z \in c:{{\alpha z - \overline \alpha \overline z } \over {{z^2} - {{\left( {\over

Let $$\alpha_1,\alpha_2,....,\alpha_7$$ be the roots of the equation $${x^7} + 3{x^5} - 13{x^3} - 15x = 0$$ and $$|{\alp

Let $$\{ {a_k}\} $$ and $$\{ {b_k}\} ,k \in N$$, be two G.P.s with common ratios $${r_1}$$ and $${r_2}$$ respectively su

Let A be a symmetric matrix such that $$\mathrm{|A|=2}$$ and $$\left[ {\matrix{ 2 & 1 \cr 3 & {{3 \over 2}} \cr

The ratio of de-Broglie wavelength of an $$\alpha$$ particle and a proton accelerated from rest by the same potential is

A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes

The equation of a circle is given by $$x^2+y^2=a^2$$, where a is the radius. If the equation is modified to change the o

A square loop of area 25 cm$$^2$$ has a resistance of 10 $$\Omega$$. The loop is placed in uniform magnetic field of mag

Heat energy of 184 kJ is given to ice of mass 600 g at $$-12^\circ \mathrm{C}$$. Specific heat of ice is $$\mathrm{2222.

Identify the correct statements from the following : A. Work done by a man in lifting a bucket out of a well by means of

A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving powe

Given below are two statements : Statement I : Electromagnetic waves are not deflected by electric and magnetic field. S

The time taken by an object to slide down 45$$^\circ$$ rough inclined plane is n times as it takes to slide down a perfe

For the given figures, choose the correct options :

An object moves at a constant speed along a circular path in a horizontal plane with center at the origin. When the obje

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased

The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The coil is unwo

A fully loaded boeing aircraft has a mass of $$5.4\times10^5$$ kg. Its total wing area is 500 m$$^2$$. It is in level fl

For the given logic gates combination, the correct truth table will be

At 300 K, the rms speed of oxygen molecules is $$\sqrt {{{\alpha + 5} \over \alpha }} $$ times to that of its average s

A point charge $$2\times10^{-2}~\mathrm{C}$$ is moved from P to S in a uniform electric field of $$30~\mathrm{NC^{-1}}$$

A particle of mass 100 g is projected at time t = 0 with a speed 20 ms$$^{-1}$$ at an angle 45$$^\circ$$ to the horizont

In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student

An inductor of inductance 2 $$\mathrm{\mu H}$$ is connected in series with a resistance, a variable capacitor and an AC

A particle of mass 250 g executes a simple harmonic motion under a periodic force $$\mathrm{F}=(-25~x)\mathrm{N}$$. The

A metal block of base area 0.20 m$$^2$$ is placed on a table, as shown in figure. A liquid film of thickness 0.25 mm is

A car is moving on a circular path of radius 600 m such that the magnitudes of the tangential acceleration and centripet

Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium $

For a charged spherical ball, electrostatic potential inside the ball varies with $$r$$ as $$\mathrm{V}=2ar^2+b$$. Here,

When two resistance $$\mathrm{R_1}$$ and $$\mathrm{R_2}$$ connected in series and introduced into the left gap of a mete