During water-gas shift reaction

The complex with highest magnitude of crystal field splitting energy $\left(\Delta_{0}\right)$ is :

The major product formed in the Friedel-Craft acylation of chlorobenzene is

The number of $\mathrm{P}-\mathrm{O}-\mathrm{P}$ bonds in $\mathrm{H}_{4} \mathrm{P}_{2} \mathrm{O}_{7},\left(\mathrm{HP

Which of the following statement is correct for paper chromatography?

For a good quality cement, the ratio of silica to alumina is found to be :

Which is not true for arginine?

Which one of the following is not an example of calcination?

Consider the following sequence of reactions: The product ' $\mathrm{B}$ ' is

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R : Assertion (A) :

Given below are two statements: Statement I : According to Bohr's model of hydrogen atom, the angular momentum of an el

Which of the following statement(s) is/are correct? (A) The $\mathrm{pH}$ of $1 \times 10^{-8}~ \mathrm{M} ~\mathrm{HCl}

Consider the following statements: (A) NF3 molecule has a trigonal planar structure. (B) Bond length of $\mathrm{N}_{2

In the above conversion the correct sequence of reagents to be added is

Which of the following expressions is correct in case of a $\mathrm{CsCl}$ unit cell (edge length 'a')?

'A' formed in the above reaction is

The product formed in the following multistep reaction is :

Match List I with List II: .tg {border-collapse:collapse;border-spacing:0;width:100%} .tg td{border-color:black;border

The possibility of photochemical smog formation will be minimum at :

Decreasing order of reactivity towards electrophilic substitution for the following compounds is :

For a reversible reaction $\mathrm{A} \rightleftharpoons \mathrm{B}$, the $\Delta \mathrm{H}_{\text{forward reaction}} =

The volume (in $\mathrm{mL}$) of $0.1 \mathrm{M} ~\mathrm{AgNO}_{3}$ required for complete precipitation of chloride ion

The number of correct statements from the following is _______. (A) Conductivity always decreases with decrease in conce

In Chromyl chloride, the oxidation state of chromium is $(+)$ _______________.

$20 \mathrm{~mL}$ of $0.5 \mathrm{M} ~\mathrm{NaCl}$ is required to coagulate $200 \mathrm{~mL}$ of $\mathrm{As}_{2} \ma

The vapour pressure of $30 \%(\mathrm{w} / \mathrm{v})$ aqueous solution of glucose is __________ $\mathrm{mm} ~\mathrm{

$30.4 \mathrm{~kJ}$ of heat is required to melt one mole of sodium chloride and the entropy change at the melting point

The total change in the oxidation state of manganese involved in the reaction of $\mathrm{KMnO}_{4}$ and potassium iodid

The homoleptic and octahedral complex of $\mathrm{Co}^{2+}$ and $\mathrm{H}_{2} \mathrm{O}$ has ___________ unpaired ele

The total number of isoelectronic species from the given set is ___________. $\mathrm{O}^{2-}, \mathrm{F}^{-}, \mathrm{A

Let $S$ be the set of all $(\lambda, \mu)$ for which the vectors $\lambda \hat{i}-\hat{j}+\hat{k}, \hat{i}+2 \hat{j}+\mu

Let $x=x(y)$ be the solution of the differential equation $2(y+2) \log _{e}(y+2) d x+\left(x+4-2 \log _{e}(y+2)\right)

If $\int\limits_{0}^{1} \frac{1}{\left(5+2 x-2 x^{2}\right)\left(1+e^{(2-4 x)}\right)} d x=\frac{1}{\alpha} \log _{e}\le

The total number of three-digit numbers, divisible by 3, which can be formed using the digits $1,3,5,8$, if repetition o

Let $\mathrm{ABCD}$ be a quadrilateral. If $\mathrm{E}$ and $\mathrm{F}$ are the mid points of the diagonals $\mathrm{AC

Negation of $p \wedge(q \wedge \sim(p \wedge q))$ is :

If the domain of the function $f(x)=\log _{e}\left(4 x^{2}+11 x+6\right)+\sin ^{-1}(4 x+3)+\cos ^{-1}\left(\frac{10 x+6

Let the foot of perpendicular of the point $P(3,-2,-9)$ on the plane passing through the points $(-1,-2,-3),(9,3,4),(9,-

The number of common tangents, to the circles $x^{2}+y^{2}-18 x-15 y+131=0$ and $x^{2}+y^{2}-6 x-6 y-7=0$, is :

Let $[x]$ denote the greatest integer function and $f(x)=\max \{1+x+[x], 2+x, x+2[x]\}, 0 \leq x \leq 2$. Let $m$ be the

The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observa

Let $\left(a+b x+c x^{2}\right)^{10}=\sum\limits_{i=0}^{20} p_{i} x^{i}, a, b, c \in \mathbb{N}$. If $p_{1}=20$ and $p_{

A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on t

Let the determinant of a square matrix A of order $m$ be $m-n$, where $m$ and $n$ satisfy $4 m+n=22$ and $17 m+4 n=93$.

The number of real roots of the equation $x|x|-5|x+2|+6=0$, is :

Let the system of linear equations $-x+2 y-9 z=7$ $-x+3 y+7 z=9$ $-2 x+y+5 z=8$ $-3 x+y+13 z=\lambda$ has a unique solu

If $(\alpha, \beta)$ is the orthocenter of the triangle $\mathrm{ABC}$ with vertices $A(3,-7), B(-1,2)$ and $C(4,5)$, th

Let $A_{1}$ and $A_{2}$ be two arithmetic means and $G_{1}, G_{2}, G_{3}$ be three geometric means of two distinct posit

Let $\mathrm{S}$ be the set of all values of $\lambda$, for which the shortest distance between the lines $\frac{x-\lamb

If the set $\left\{\operatorname{Re}\left(\frac{z-\bar{z}+z \bar{z}}{2-3 z+5 \bar{z}}\right): z \in \mathbb{C}, \operato

Let the plane $P$ contain the line $2 x+y-z-3=0=5 x-3 y+4 z+9$ and be parallel to the line $\frac{x+2}{2}=\frac{3-y}{-4}

If the line $x=y=z$ intersects the line $x \sin A+y \sin B+z \sin C-18=0=x \sin 2 A+y \sin 2 B+z \sin 2 C-9$, where $A

A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest

Let an ellipse with centre $(1,0)$ and latus rectum of length $\frac{1}{2}$ have its major axis along $\mathrm{x}$-axis.

If the sum of the series $\left(\frac{1}{2}-\frac{1}{3}\right)+\left(\frac{1}{2^{2}}-\frac{1}{2 \cdot 3}+\frac{1}{3^{2}

If the area bounded by the curve $2 y^{2}=3 x$, lines $x+y=3, y=0$ and outside the circle $(x-3)^{2}+y^{2}=2$ is $\mathr

Let $f(x)=\int \frac{d x}{\left(3+4 x^{2}\right) \sqrt{4-3 x^{2}}},|x| and $f(1)=\frac{1}{\alpha \beta} \tan ^{-1}\left(

Consider the triangles with vertices $A(2,1), B(0,0)$ and $C(t, 4), t \in[0,4]$. If the maximum and the minimum perimet

The number of elements in the set $\left\{n \in \mathbb{N}: 10 \leq n \leq 100\right.$ and $3^{n}-3$ is a multiple of 7$

Let $A=\{1,2,3,4\}$ and $\mathrm{R}$ be a relation on the set $A \times A$ defined by $R=\{((a, b),(c, d)): 2 a+3 b=4 c+

A wire of length ' $L$ ' and radius ' $r$ ' is clamped rigidly at one end. When the other end of the wire is pulled by a

The position of a particle related to time is given by $x=\left(5 t^{2}-4 t+5\right) \mathrm{m}$. The magnitude of veloc

The electric field due to a short electric dipole at a large distance $(r)$ from center of dipole on the equatorial plan

In the given circuit, the current (I) through the battery will be

The de Broglie wavelength of an electron having kinetic energy $\mathrm{E}$ is $\lambda$. If the kinetic energy of elect

The height of transmitting antenna is $180 \mathrm{~m}$ and the height of the receiving antenna is $245 \mathrm{~m}$. Th

In a linear Simple Harmonic Motion (SHM) (A) Restoring force is directly proportional to the displacement. (B) The ac

Two identical particles each of mass ' $m$ ' go round a circle of radius $a$ under the action of their mutual gravitatio

A single slit of width $a$ is illuminated by a monochromatic light of wavelength $600 \mathrm{~nm}$. The value of ' $a$

The position vector of a particle related to time $t$ is given by $\vec{r}=\left(10 t \hat{i}+15 t^{2} \hat{j}+7 \hat{k

A body is released from a height equal to the radius $(\mathrm{R})$ of the earth. The velocity of the body when it strik

A vector in $x-y$ plane makes an angle of $30^{\circ}$ with $y$-axis. The magnitude of $\mathrm{y}$-component of vector

The speed of a wave produced in water is given by $v=\lambda^{a} g^{b} \rho^{c}$. Where $\lambda, g$ and $\rho$ are wave

The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:

For designing a voltmeter of range $50 \mathrm{~V}$ and an ammeter of range $10 \mathrm{~mA}$ using a galvanometer which

A thermodynamic system is taken through cyclic process. The total work done in the process is :

Given below are two statements: Statement I : The equivalent resistance of resistors in a series combination is smaller

Match List I with List II of Electromagnetic waves with corresponding wavelength range : .tg {border-collapse:collapse

A flask contains Hydrogen and Argon in the ratio $2: 1$ by mass. The temperature of the mixture is $30^{\circ} \mathrm{C

$12 \mathrm{~V}$ battery connected to a coil of resistance $6 \Omega$ through a switch, drives a constant current in the

An electron in a hydrogen atom revolves around its nucleus with a speed of $6.76 \times 10^6 \mathrm{~ms}^{-1}$ in an or

The fundamental frequency of vibration of a string stretched between two rigid support is $50 \mathrm{~Hz}$. The mass of

In the given figure the total charge stored in the combination of capacitors is $100~ \mu \mathrm{C}$. The value of ' $x

As per given figure $A, B$ and $C$ are the first, second and third excited energy levels of hydrogen atom respectively.

The refractive index of a transparent liquid filled in an equilateral hollow prism is $\sqrt{2}$. The angle of minimum d

A block of mass $10 \mathrm{~kg}$ is moving along $\mathrm{x}$-axis under the action of force $F=5 x~ N$. The work done

A network of four resistances is connected to $9 \mathrm{~V}$ battery, as shown in figure. The magnitude of voltage diff

A $20 \mathrm{~cm}$ long metallic rod is rotated with $210~ \mathrm{rpm}$ about an axis normal to the rod passing throug

There is an air bubble of radius $1.0 \mathrm{~mm}$ in a liquid of surface tension $0.075~ \mathrm{Nm}^{-1}$ and density

A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ra