VITEEE 2021

## Chemistry

What is the total number of electrons that can have the values $$n=2, l=1, s=1 / 2$$ in the electronic configuration $$1

View Question Calculate the wavelength associated with an electron moving with a velocity of $$10^6 \mathrm{~m} / \mathrm{s}$$ (mass o

View Question Which of the following pairs is not correctly matched?

View Question The orbital diagram in which Aufbau principle is violated is

View Question How does electron affinity change when we move from left to right in a period in the Periodic Table?

View Question Which of the following statements is not correct?

View Question Which of the following statements is correct?

View Question Which of the following oxides of group 16 has the highest boiling point?

View Question Specify the coordination number of cobalt in $$\left[\mathrm{Co}(\mathrm{CN})\left(\mathrm{H}_2 \mathrm{O}\right)(\mathr

View Question Which of the following complexes is square planar and diamagnetic?

View Question Which type of isomerism is exhibited by $$\left[\mathrm{Pt}\left(\mathrm{NH}_3\right)_2 \mathrm{Cl}_2\right]$$ ?

View Question When a cation leaves its normal position in the crystal and moves to some interstitial space, the defect in the crystal

View Question In thermodynamics, a quantity whose value simply depends upon the initial and final state of the system is called

View Question If $$\Delta H$$ and $$\Delta S$$ are positive for a reaction, the reaction will be spontaneous only when

View Question A catalyst is a substance which

View Question Consider the reaction,
$$2 \mathrm{~N}_2 \mathrm{O}_5(g) \longrightarrow 4 \mathrm{NO}_2(g)+\mathrm{O}_2(g)$$
The rate l

View Question The $$[\mathrm{OH}]^{-}$$ in a solution is $$1 \mathrm{~mol} \mathrm{~L}^{-1}$$. The $$\mathrm{pH}$$ of the solution is

View Question The solubility of $$\mathrm{Fe}(\mathrm{OH})_3$$ is $$x \mathrm{~mol} \mathrm{~L}^{-1}$$. Its $$K_{\mathrm{sp}}$$ would

View Question When an electrolytic solution conducts electricity, the current is carried by

View Question An electrochemical cell has two half cell reactions as,
$$\begin{aligned}
A^{2+}+2 e^{-} & \longrightarrow A ; E_{A^{2+}

View Question The number of optical isomers of the compound $$\mathrm{CH}_3 \mathrm{CHBrCHBrCOOH}$$ is

View Question Which of the following compounds will exhibit cis-trans (geometrical) isomerism?

View Question The hybridization of carbon atoms in $$\mathrm{C}-\mathrm{C}$$ single bond of $$\mathrm{HC} \equiv \mathrm{C}-\mathrm{CH

View Question Which of the following groups is ortho and para directing?

View Question Phenol on treatment with conc. $$\mathrm{HNO}_3$$ gives

View Question Which of the following compounds will be formed when methoxy benzene is reacted with $$\mathrm{HBr}$$ ?

View Question When ethanol and $$\mathrm{I}_2$$ are heated in the presence of $$\mathrm{Na}_2 \mathrm{CO}_3$$, the yellow crystals obt

View Question Identify B in the following series of reaction
$$\mathrm{CH}_3 \mathrm{CHO} \xrightarrow{\mathrm{CH}_3 \mathrm{MgX}} A \

View Question Among the following, the least reactive aldehyde is

View Question Propanal on reaction with lithium aluminium hydride gives

View Question Identify Z in the following sequence
$$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{I} \xrightarrow{\mathrm{KCN}} X \xrightarrow{

View Question Treatment of aniline with bromine water produces

View Question Which of the following compounds has maximum acidic character?

View Question $$\mathrm{C}_6 \mathrm{H}_5 \mathrm{COCl} \xrightarrow{\mathrm{NH}_3} X \xrightarrow{\mathrm{P}_2 \mathrm{O}_5} Y \xrigh

View Question Chlorobenzene can be prepared by reacting aniline with

View Question Electrolysis of an aqueous solution of sodium ethanoate gives

View Question The reaction given below is an example of which of the following?
$$2 \mathrm{CH}_3 \mathrm{Br}+2 \mathrm{Na} \xrightarr

View Question Which of the following is least reactive to nitration?

View Question Nucleic acids are polymers of

View Question Which of the following enzymes helps in digestion of proteins?

View Question ## English

I can write with .............. hand.

View Question Your friend ............. too much.

View Question We bought ............. books.

View Question Select the antonym for the word 'Bane'.

View Question Pick out the correct synonym of the word 'Treason'.

View Question ## Mathematics

The value of $$\cos \left(\frac{3 \pi}{2}+x\right) \cos (2 \pi+x)\left\{\cot \left(\frac{3 \pi}{2}-x\right)+\cot (2 \pi+

View Question If $$\theta=\frac{\pi}{2^n+1}$$, then the value of $$2^n \cos \theta \cos 2 \theta \cos 2^2 \theta \ldots \cos 2^{n-1} \

View Question Using the principal values, the value of $$\sin ^{-1}\left\{\sin \frac{5 \pi}{6}\right\}+\tan ^{-1}\left\{\tan \frac{\pi

View Question Find the value of $$\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{3}{5}\right)$$.

View Question If $$A=\left[\begin{array}{ll}3 & -4 \\ 1 & -1\end{array}\right]$$, then $$\left(A-A^{\prime}\right)$$ is equal to (wher

View Question If $$A^{-1}=\left[\begin{array}{rr}5 & -2 \\ -7 & 3\end{array}\right]$$ and $$B^{-1}=\frac{1}{2}\left[\begin{array}{rr}9

View Question $$\lim _\limits{x \rightarrow 0}\left\{\tan \left(\frac{\pi}{4}+x\right)\right\}^{1 / x}$$ is equal to

View Question The value of $$\lim _\limits{n \rightarrow \infty}\left\{\frac{1+2+3+\ldots+n}{n+2}-\frac{n}{2}\right\}$$ is

View Question If $$y=1+\frac{x}{1 !}+\frac{x^2}{2 !}+\frac{x^3}{3 !} \ldots$$, then $$\frac{d y}{d x}$$ is equal to

View Question The value of $$\frac{d}{d x}\left(x^n \log _a x e^x\right)$$ is

View Question The interval in which the function $$f(x)=\sin x-\cos x, 0 \leq x \leq 2 \pi$$ is strictly decreasing, is

View Question The slope of normal to the curve $$y=x^3+2 x+6$$ which is parallel to line $$x+14 y+4=0$$ is

View Question If $$f(x)=\left\{\begin{array}{cc}\frac{(1-\cos 4 x)}{x^2}, & \text { if } x 0\end{array}\right.$$ then $$f(x)$$ is con

View Question The value of $$\int\limits_0^{\pi / 2} \frac{d x}{1+\tan x}$$ is

View Question Evaluate $$\int \frac{3 x-2}{(x+3)(x+1)^2} d x$$.

View Question The general solution of the linear differential equation $$\frac{d y}{d x}+\sec x \cdot y=\tan x\left(0 \leq x \leq \fra

View Question On solving the differential equation $$x^2 y d x-\left(x^3+y^3\right) d y=0$$, the value of $$\log y$$ is

View Question The particular solution of the differential equation $$\frac{d y}{d x}+y \cot x=2 x+x^2 \cot x$$, such that $$y(\pi / 2)

View Question The area bounded by the circle $$x^2+y^2=16$$ and the line $$y=x$$ in the first quadrant is

View Question The focal distance of the point $$(x, y)$$ from the ellipse $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b$$ is

View Question The equation of a straight line which cuts off intercept on $$X$$-axis which is twice that on $$Y$$-axis and is at a uni

View Question The equation of a straight line upon which the length of the perpendicular from the origin is 5 and slope of this perpen

View Question The radius of the circle $$(x \cos \theta+y \sin \theta-a)^2+(x \sin \theta-y \cos \theta-b)^2=k^2$$ is

View Question The locus of a point which moves in a plane such that its distance from a fixed point in the plane is always equal to it

View Question The eccentricity of the ellipse $$25 x^2+9 y^2-150 x-90 y+225=0$$ is

View Question A bag contains 50 tickets numbered $$1,2,3, ..., 50$$ of which five are drawn at random and arranged in ascending order

View Question Five persons entered the lift cabin on the ground floor of an eight floor house. Suppose that each of them independently

View Question If $$(3,4,-1)$$ and $$(-1,2,3)$$ be end points of the diameter of a sphere, then the radius of the sphere is

View Question The following lines are
$$\begin{aligned}
\mathbf{r} & =(\hat{\mathbf{i}}+\hat{\mathbf{j}})+\lambda^{\prime}(\hat{\mathb

View Question The position vector of a point $$R$$ which divides the line joining $$P(6,3,-2)$$ and $$Q(3,1,-4)$$ in the ratio $$2 : 1

View Question The angle between the lines $$\frac{x-5}{-3}=\frac{y+3}{-4}=\frac{z-7}{0}, \frac{x}{1}=\frac{y-1}{-2}=\frac{z-6}{2}$$ is

View Question The cartesian product $$A \times A$$ has 9 elements among which are found $$(-1,0)$$ and $$(0,1)$$, then set $$A$$ is eq

View Question If $$S=\{(a, b): b=|a-1|, a \in Z$$ and $$|a|

View Question The quotient of the identity function by the reciprocal function is given by

View Question Which of the following is not a function?

View Question If $$(1+i)(2 i+1)(1+3 i) \ldots(1+n i)=x+i y$$, then $$2 \cdot 5 \cdot 10 \ldots\left(1+n^2\right)$$ is equal to

View Question The non-zero solutions of the equation $$z^2+|z|=0$$, where $$z$$ is a complex number, are

View Question The coefficient of the term independent of $$x$$ in the expansion $$\left(\frac{x+1}{x^{2 / 3}-x^{1 / 3}+1}-\frac{x-1}{x

View Question Which of the following is the correct principle of Mathematical induction?

View Question The negation of $$\sim s \vee(\sim r \wedge s)$$ is equivalent to

View Question ## Physics

The Young's modulus of a rope of $$10 \mathrm{~m}$$ length and having diameter of $$2 \mathrm{~cm}$$ is $$200 \times 10^

View Question The zeroth law of thermodynamics for three systems $$A, B$$ and $$C$$ in contact demands that

View Question The velocity of sound in a gas is $$1300 \mathrm{~m} / \mathrm{s}$$ at STP and specific heat at constant pressure is $$6

View Question The net electric force on a charge of $$+3 \mu \mathrm{C}$$ at the mid-point on the line joining two charges of magnitud

View Question A parallel plate capacitor of capacitance $$5 \mu \mathrm{F}$$ is charged to $$120 \mathrm{~V}$$ and then connected to a

View Question 24 cells of emf $$1.5 \mathrm{~V}$$ each having internal resistance of $$1 \mathrm{~ohm}$$ are connected to an external

View Question Two straight wires each $$10 \mathrm{~cm}$$ long are parallel to one another and separated by $$2 \mathrm{~cm}$$. When t

View Question The alternating current in a circuit is given by $$I=50 \sin 314 t$$. The peak value and frequency of the current are

View Question A bar magnet of pole strength $$10 \mathrm{~Am}$$ is cut into two equal parts breadthwise. The pole strength of each mag

View Question A $$50 \mathrm{~Hz}$$ $$\mathrm{AC}$$ signal is applied in a circuit of inductance of $$(1 / \pi) \mathrm{H}$$ and resis

View Question The magnetic field at a point on the axis of a long solenoid having 5 turns per $$\mathrm{cm}$$ length when a current of

View Question An object is $$8 \mathrm{~cm}$$ high. It is desired to form a real image $$4 \mathrm{~cm}$$ high at $$60 \mathrm{~cm}$$

View Question When an object is placed $$40 \mathrm{~cm}$$ from a diverging lens, its virtual image is formed $$20 \mathrm{~cm}$$ from

View Question Polonium has a half-life of 140 days. If we take $$20 \mathrm{~g}$$ of polonium initially then the amount of it that rem

View Question According to Bohr model of hydrogen atom, only those orbits are permissible which satisfy the condition

View Question Einstein's photoelectric equation is

View Question The Brewster's law is given by the expression

View Question If two slits in Young's experiment are $$0.4 \mathrm{~mm}$$ apart and fringe width on a screen $$200 \mathrm{~cm}$$ away

View Question The distance of moon form the earth is $$3.8 \times 10^5 \mathrm{~km}$$. Supposing that the eye is most sensitive to the

View Question Which of the following logic gates are also known as the Universal gates?

View Question Based on the band theory of conductors, insulators and semi-conductors, the forbidden gap is smallest in

View Question The demodulator or detector circuit consists of a

View Question The power $$(P)$$ of an engine lifting a mass of $$100 \mathrm{~kg}$$ upto a height of $$10 \mathrm{~m}$$ in $$1 \mathrm

View Question A silver wire of radius $$0.1 \mathrm{~cm}$$ carries a current of $$2 \mathrm{~A}$$. If the charge density in silver is

View Question An electron revolves in a circle at the rate of $$10^{19}$$ rounds per second. The equivalent current is $$\left(e=1.6 \

View Question A hollow sphere of radius $$0.1 \mathrm{~m}$$ has a charge of $$5 \times 10^{-8} \mathrm{C}$$. The potential at a distan

View Question The efficiency of a Carnot engine kept at the temperatures of $$27^{\circ} \mathrm{C}$$ and $$127^{\circ} \mathrm{C}$$ i

View Question According to equipartition law of energy each particle in a system of particles have thermal energy $$E$$ equal to

View Question An electric charge does not have which of the following properties?

View Question Two identical capacitors are first connected in series and then in parallel. The ratio of equivalent capacitance is

View Question The horizontal and vertical components of earth's magnetic field at a place are $$0.3 \mathrm{G}$$ and $$0.52 \mathrm{G}

View Question A long straight wire is carrying a current of $$12 \mathrm{~A}$$. The magnetic field at a distance of $$8 \mathrm{~cm}$$

View Question The temperature coefficient of the resistance of a wire is 0.00125 per $${ }^{\circ} \mathrm{C}$$. At $$300 \mathrm{~K}$

View Question Which component of electromagnetic spectrum have maximum wavelength?

View Question The induced emf in a coil of $$10 \mathrm{H}$$ inductance in which current varies from $$9 \mathrm{~A}$$ to $$4 \mathrm{

View Question If the alternating current $$I=I_1 \cos \omega t+ I_2 \sin \omega t$$ then the rms current is given by

View Question A conductor of length $$5 \mathrm{~cm}$$ is moved parallel to itself with a speed of $$2 \mathrm{~m} / \mathrm{s}$$, per

View Question The Rutherford scattering experiment proves that an atom consists of

View Question Unpolarised light falls on two polarising sheets placed one on top of other. If the intensity of transmitted light is on

View Question A person has a minimum distance of distinct vision as $$50 \mathrm{~cm}$$. The power of lenses required to read a book a

View Question