VITEEE 2008 Question Paper is available for download here. VITEEE 2008 Question Paper includes 40 questions from Mathematics/Biology, 35 questions from Physics, 35 questions from Chemistry, 5 questions from English, 10 questions from Aptitude to be attempted in 150 minutes. Candidates can download the VITEEE 2008 Question Paper with Solution PDF using the link below.
VITEEE 2008 Question Paper with Solution PDF
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Two beams of light will not give rise to an interference pattern, if
A slit of width `a' is illuminated with a monochromatic light of wavelength \(\lambda\) from a distant source and the diffraction pattern is observed on a screen placed at a distance `D' from the slit. To increase the width of the central maximum one should
A thin film of soap solution (\(n = 1.4\)) lies on the top of a glass plate (\(n = 1.5\)). When visible light is incident almost normal to the plate, two adjacent reflection maxima are observed at two wavelengths 420 nm and 630 nm. The minimum thickness of the soap solution is
If the speed of a wave doubles as it passes from shallow water into deeper water, its wavelength will be
A light whose frequency is equal to \(6 \times 10^{14}\) Hz is incident on a metal whose work function is 2 eV. The maximum energy of the electrons emitted will be
An electron microscope is used to probe the atomic arrangements to a resolution of 5 AA. What should be the electric potential to which the electrons need to be accelerated?
Which phenomenon best supports the theory that matter has a wave nature?
The radioactivity of a certain material drops to \(\frac{1}{16}\) of the initial value in 2 hours. The half-life of this radionuclide is
An observer 'A' sees an asteroid with a radioactive element moving away at a speed \(0.3c\) and measures the radioactive decay time to be \(T_A\). Another observer 'B' is moving with the asteroid and measures its decay time as \(T_B\). Then \(T_A\) and \(T_B\) are related as
\(^{234}\)U has 92 protons and 234 nucleons total in its nucleus. It decays by emitting an alpha particle. After the decay it becomes
The \(K_{\alpha}\) and \(K_{\beta}\) X-rays are emitted when there is a transition of electron between the levels
A certain radioactive material \(_x^AX\) starts emitting \(\alpha\) and \(\beta\) particles successively such that the end product is \(_{Z-3}^{A-8}\)A. The number of \(\alpha\) and \(\beta\) particles emitted are respectively
In the circuit shown above, an input of 1V is fed into the inverting input of an ideal Op-amp A. The output signal \(V_{out}\) will be
When a solid with a band gap has a donor level just below its empty energy band, the solid is
A p--n junction has acceptor impurity concentration of \(10^{17}\,cm^{-3}\) in the p-side and donor impurity concentration of \(10^{16}\,cm^{-3}\) in the n-side. What is the contact potential at the junction (\(T=\) thermal energy, intrinsic semiconductor concentration \(n_i = 1.4\times 10^{10}\,cm^{-3}\)) ?
A Zener diode has a contact potential of 1V in the absence of biasing. It undergoes Zener breakdown for an electric field of \(10^6\) V/m at the depletion region of p--n junction. If the width of the depletion region is \(2.5\,\mu m\), what should be the reverse biased potential for the Zener breakdown to occur?
In Colpitt oscillator the feedback network consists of
The reverse saturation current of p--n diode
A radio station has two channels. One is AM at 1020 kHz and the other is FM at 89.5 MHz. For good results you will use
The communication using optical fibers is based on the principle of
In nature, the electric charge of any system is always equal to
The energy stored in the capacitor as shown in Fig. (a) is \(4.5\times 10^{-6}\) J. If the battery is replaced by another capacitor of 900 pF as shown in Fig. (b), then the total energy of system is
Equal amounts of a metal are converted into cylindrical wires of different lengths (\(L\)) and cross-sectional area (\(A\)). The wire with the maximum resistance is the one, which has
If the force exerted by an electric dipole on a charge \(q\) at a distance of 1 m is \(F\), the force at a point 2 m away in the same direction will be
A solid sphere of radius \(R_1\) and volume charge density \(\rho = \frac{\rho_0}{r}\) is enclosed by a hollow sphere of radius \(R_2\) with negative surface charge density \(\sigma\), such that the total charge in the system is zero. \(\rho_0\) is a positive constant and \(r\) is the distance from the centre of the sphere. The ratio \(\frac{R_2}{R_1}\) is
A solid spherical conductor of radius \(R\) has a spherical cavity of radius \(a\) (\(a < R\)) at its centre. A charge \(+Q\) is kept at the centre. The charge at the inner surface, outer surface and at a position \(r\) (\(a < r < R\)) are respectively
A cylindrical capacitor has charge \(Q\) and length \(L\). If both the charge and length of the capacitor are doubled, by keeping other parameters fixed, the energy stored in the capacitor
Three resistances of \(4\Omega\) each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between point A and D will be
The resistance of a metal increases with increasing temperature because
In the absence of applied potential, the electric current flowing through a metallic wire is zero because
A meter bridge is used to determine the resistance of an unknown wire by measuring the balance point length \(l\). If the wire is replaced by another wire of same material but double the length and half the thickness, the balancing point is expected to be
Identify the INCORRECT statement regarding a superconducting wire
A sample of HCl gas is placed in an electric field \(3\times 10^{4}\,NC^{-1}\). The dipole moment of each HCl molecule is \(6\times 10^{-30}\,Cm\). The maximum torque that can act on a molecule is
When a metallic plate swings between the poles of a magnet
When an electrical appliance is switched on, it responds almost immediately, because
Two identical incandescent light bulbs are connected as shown in the figure. When the circuit is an AC voltage source of frequency \(f\), which of the following observations will be correct?
A transformer rated at 10 kW is used to connect a 5 kV transmission line to a 240 V circuit. The ratio of turns in the windings of the transformer is
Three solenoid coils of same dimension, same number of turns and same number of layers of winding are taken. Coil 1 with inductance \(L_1\) was wound using an A m wire of resistance \(11\Omega/m\); Coil 2 with inductance \(L_2\) was wound using similar wire but the direction of winding was reversed in each layer; Coil 3 with inductance \(L_3\) was wound using a superconducting wire. The self inductance of coils \(L_1, L_2, L_3\) are
Light travels with a speed of \(2\times 10^{8}\,m/s\) in crown glass of refractive index 1.5. What is the speed of light in 1.8?
A parallel beam of fast moving electrons is incident normally on a narrow slit. A screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statement is correct?
CH\(_3\)CH\(_3\) + HNO\(_3\) \(\xrightarrow{675\,K}\)
When acetamide is hydrolysed by boiling with acid, the product obtained is
Which will not go for diazotization?
Secondary nitroalkanes can be converted into ketones by using Y. Identify Y from following
Alkyl cyanides undergo Stephen reduction to produce
The continuous phase contains the dispersed phase throughout, Example is
The number of hydrogen atoms present in 25.6 g of sucrose (C\(_{12}\)H\(_{22}\)O\(_{11}\)) which has a molar mass of 342.3 g is
Milk changes after digestion into:
Which of the following sets consists only of essential amino acids?
Which of the following is ketohexose ?
The oxidation number of oxygen in KO\(_3\), Na\(_2\)O\(_2\) is
Reaction of PCl\(_3\) and PhMgBr would give
Which of the following is not a characteristic of transition elements ?
Cl--P--Cl bond angles in PCl\(_5\) molecule are
The magnetic moment of a salt containing Zn\(^{2+}\) ion is
The number of formula units of calcium fluoride CaF\(_2\) present in 146.4 g of CaF\(_2\) are (molar mass of CaF\(_2\) is 78.08 g/mol)
The IUPAC name of the given compound \([Co(NH_3)_5Cl]Cl_2\) is
When SCN\(^{-}\) is added to an aqueous solution containing Fe(NO\(_3\))\(_3\), the complex produced is
Hair dyes contain
Schottky defects occurs mainly in electrovalent compounds where
The number of unpaired electrons calculated in \(\{Co(NH_3)_6\}^{3+}\) and \(\{CoF_6\}^{3-}\) are
The standard free energy change of a reaction is \(\Delta G^\circ = -115\) kJ at 298 K. Calculate equilibrium constant \(K_p\) in \(\log K_p\). (R = 8.314 J k\(^{-1}\) mol\(^{-1}\))
If an endothermic reaction occurs spontaneously at constant temperature \(T\) and pressure \(P\), then which of the following is true?
If a plot of \(\log C_0\) versus \(t\) gives a straight line for a given reaction, then the reaction is
A spontaneous process is one in which the system suffers :
The half life period of a first order reaction is 1 min 40 sec. Calculate its rate constant.
The molar conductivities of KCl, NaCl and KNO\(_3\) are 152, 128 and 111 S cm\(^2\) mol\(^{-1}\) respectively. What is the molar conductivity of NaNO\(_3\)?
The electrochemical cell stops working after sometime because :
The amount of electricity required to produce one mole of copper from copper sulphate solution will be
Dipping iron article into a strongly alkaline solution of sodium phosphate
Hydroboration oxidation of 4-methyl-octene would give
When ethyl alcohol is heated with conc. H\(_2\)SO\(_4\), product obtained is
Anisole is the product obtained from phenol by the reaction known as
Ethylene glycol gives oxalic acid on oxidation with
Diamond is hard because
A wittig reaction with an aldehyde gives
Cannizzaro reaction is given by
Identify the reactant
Maleic acid and Fumaric acid are
The gas evolved on heating alkali formate with soda-lime is
If \(\vec{a},\vec{b},\vec{c}\) be three unit vectors such that \(\vec{a}\times(\vec{b}\times\vec{c})=\frac{1}{2}\vec{b}\), \(\vec{b}\) and \(\vec{c}\) being non-parallel. If \(\theta_1\) is the angle between \(\vec{a}\) and \(\vec{b}\) and \(\theta_2\) is the angle between \(\vec{a}\) and \(\vec{c}\), then
The equation \(r^2 - 2\vec{r}\cdot\vec{c} + h = 0,\ |\vec{c}|>\sqrt{h}\), represents
The simplified expression of \(\sin(\tan^{-1}x)\), for any real number \(x\) is given by
If \(\left|\frac{z-25}{z-1}\right|=5\), the value of \(|z|\)
Argument of the complex number \(\left(\frac{-1-3i}{2+i}\right)\) is
In a triangle ABC, the sides \(b\) and \(c\) are the roots of the equation \(x^2-61x+820=0\) and \(A=\tan^{-1}\left(\frac{4}{3}\right)\), then \(a^2\) is equal to
The shortest distance between the straight lines through the points \(A_1=(6,2,2)\) and \(A_2=(-4,0,-1)\), in the directions of \((1,-2,2)\) and \((3,-2,-2)\) is
The center and radius of the sphere \(x^2+y^2+z^2-3x-4z+1=0\) are
Let A and B are two fixed points in a plane then locus of another point C on the same plane then CA+CB = constant, \(>AB\) is
The directrix of the parabola \(y^2 + 4x + 3 = 0\) is
If \(g(x)\) is a polynomial satisfying \(g(x)g(y)=g(x)+g(y)+g(xy)-2\) for all real \(x\) and \(y\) and \(g(2)=5\), then \(\lim_{x\to 3} g(x)\) is
The value of \(f(0)\) so that \(\frac{-e^x+2^x}{x}\) may be continuous at \(x=0\) is
Let \([\,]\) denote the greatest integer function and \(f(x)=[\tan^2 x]\). Then
A spherical balloon is expanding. If the radius is increasing at the rate of 2 centimeters per minute, the rate at which the volume increases (in cubic centimeters per minute) when the radius is 5 centimeters is
The length of the parabola \(y^2=12x\) cut off by the latus-rectum is
If \(I=\int \frac{x^5}{\sqrt{1+x^3}}\,dx\), then \(I\) is equal to
Area enclosed by the curve \(\pi\left[4(x-\sqrt{2})^2+y^2\right]=8\) is
The value of \(\int_{0}^{a}\sqrt{\frac{a-x}{x}}\,dx\) is
Let \(y\) be the number of people in a village at time \(t\). Assume that the rate of change of the population is proportional to the number of people in the village at any time and further assume that the population never increases in time. Then the population of the village at any fixed time \(t\) is given by
The differential equation of all straight lines touching the circle \(x^2+y^2=a^2\) is
The differential equation \(\left|\frac{dy}{dx}\right|+|y|+3=0\) admits
Solution of the differential equation \(xdy-ydx-\sqrt{x^2+y^2}\,dx=0\) is
Let P, Q, R and S be statements and suppose that \(P\to Q \to R \to P\); if \(\sim S \to R\), then
In how many number of ways can 10 students be divided into three teams, one containing four students and the other three?
If \(R\) be a relation defined as \(aRb\) iff \(|a-b|>0\), then the relation is
Let \(S\) be a finite set containing \(n\) elements. Then the total number of commutative binary operation on \(S\) is
A manufacturer of cotter pins knows that 5% of his product is defective. He sells pins in boxes of 100 and guarantees that not more than one pin will be defective in a box. In order to find the probability that a box will fail to meet the guaranteed quality, the probability distribution he should use is
The probability that a certain kind of component will survive a given shock test is \(\frac{3}{4}\). The probability that exactly 2 of the next 4 components tested survive is
Mean and standard deviation of marks obtained in some particular subject by four classes are given below. Report the class with the best performance
A random variable \(X\) follows binomial distribution with mean \(\alpha\) and variance \(\beta\). Then
The system of equations
\[ x+y+z=0 \] \[ 2x+3y+z=0 \] \[ x+2y=0 \]
has
If \(\begin{vmatrix} 0 & a^4
b & 0 \end{vmatrix}=1\), then
If \(D=diag(d_1,d_2,\ldots,d_n)\), where \(d_i\neq 0\), for \(i=1,2,\ldots,n\), then \(D^{-1}\) is equal to
If \(x,y,z\) are different from zero and
\[ \Delta= \begin{vmatrix} a & b-y & c-z
a-x & b & c-z
a-x & b-y & c \end{vmatrix}=0 \]
then the value of the expression \(\frac{a}{x}+\frac{b}{y}+\frac{c}{z}\) is
Probability of getting positive integral roots of the equation \(x^2-n=0\) for the integer \(n,\ 1\le n \le 40\) is
The number of real roots of the equation \(x^4+\sqrt{x^4+20}=22\) is
Let \(\alpha,\beta\) be the roots of the equation \(x^2-ax+b=0\) and \(A_n=\alpha^n+\beta^n\). Then \(A_{n+1}-aA_n+bA_{n-1}\) is equal to
If the sides of a right-angle triangle form an A.P., the `Sin' of the acute angles are
The plane through the point \((-1,-1,-1)\) and containing the line of intersection of the planes \(\vec{r}\cdot(\hat{i}+3\hat{j}-\hat{k})=0\) and \(\vec{r}\cdot(\hat{i}+2\hat{k})=0\) is
If \(\vec{a}=\hat{i}-\hat{j}+\hat{k}\) and \(\vec{b}=2\hat{i}+4\hat{j}+3\hat{k}\) are one of the sides and medians respectively, through the same vertex, then area of the triangle is
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