VITEEE 2010 Question Paper is available for download here. VITEEE 2010 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 2010 Question Paper with Solution PDF using the link below.
VITEEE 2010 Question Paper with Solution PDF
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A straight wire carrying current \( i \) is turned into a circular loop. If the magnitude of magnetic moment associated with it in MKS unit is \( M \), the length of wire will be
The ratio of the amounts of heat developed in the four arms of a balance Wheatstone bridge, when the arms have resistances \(P = 100\,\Omega\), \(Q = 10\,\Omega\), \(R = 300\,\Omega\) and \(S = 30\,\Omega\) respectively is
An electric kettle takes \(4\,A\) at \(220\,V\). How much time will it take to boil \(1\,kg\) of water from temperature \(20^\circ C\)? The temperature of boiling water is \(100^\circ C\).
Magnetic field at the centre of a circular loop of area is \(B\). The magnetic moment of the loop will be
In Young's double slit experiment, the spacing between the slits is \(d\) and wavelength of light used is \(6000\,AA\). If the angular width of a fringe formed on a distance screen is \(1^\circ\), the value of \(d\) is
An electric dipole consists of two opposite charges of magnitude \(q = 1\times 10^{-6}\,C\) separated by \(2.0\,cm\). The dipole is placed in an external field of \(2\times 10^{5}\,NC^{-1}\). What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starting from position of alignment (\(\theta = 0^\circ\))?
The electron of hydrogen atom is considered to be revolving round a proton in circular orbit of radius \(h^2/me^2\) with velocity \(e^2/h\), where \(h = h/2\pi\). The current \(i\) is
In a double slit experiment, 5th dark fringe is formed opposite to one of the slits, the wavelength of light is
Which of the following rays is emitted by a human body?
A proton of mass \(1.67\times 10^{-27}\,kg\) enters a uniform magnetic field of \(1\,T\) at point \(A\) shown in figure with a speed of \(10^{7}\,m\,s^{-1}\). The magnetic field is directed perpendicular to the plane of the paper downwards. If the proton emerges out of the magnetic field at point \(C\), then the distance \(AC\) and the value of angle \(\theta\) will respectively be
A neutral water molecule (\(H_2O\)) in its vapour state has an electric dipole moment of magnitude \(6.4\times 10^{-30}\,C\,m\). How far apart are the molecules centres of positive and negative charges?
Figure shows a straight wire length \(l\) carrying current \(i\). The magnitude of magnetic field produced by the wire at point \(P\) is
Zener diode is used for
Two light sources are said to be coherent if they are obtained from
A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is \(n\) and the cross-sectional area of the coil is \(A\). When the coil turns through \(180^\circ\) about its diameter, the charge flowing through the coil is \(Q\). The total resistance of the circuit is \(R\). What is the magnitude of the magnetic induction?
The attenuation of a calf fibre is mainly due to
An arc of radius \(r\) carries charge. The linear density of charge is \(\lambda\) and the arc subtends an angle \(\dfrac{\pi}{3}\) at the centre. What is electric potential at the centre?
Sinusoidal carrier voltage of frequency \(1.5\,MHz\) and amplitude \(50\,V\) is amplitude modulated by a sinusoidal voltage of frequency \(10\,kHz\) producing \(50%\) modulation. Frequencies in lower and upper side-band are
\(50\,\Omega\) and \(100\,\Omega\) resistors are connected in series. This connection is connected with a battery of \(2.4\,V\). When a voltmeter of \(100\,\Omega\) resistance is connected across the \(100\,\Omega\) resistor, the reading of the voltmeter will be
In space charged limited region, plate current in a diode is \(10\,mA\) for plate voltage \(150\,V\). If the plate voltage is increased to \(600\,V\), then the plate current will be
Light of wavelength \(\lambda\) strikes a photo-sensitive surface and electrons are ejected with kinetic energy \(E\). If the kinetic energy is to be increased to \(2E\), the wavelength must be changed to \(\lambda'\) where
The maximum velocity of electrons emitted from a metal surface is \(v\), when frequency of light falling on it is \(f\). The maximum velocity when frequency becomes \(4f\) is
The photoelectric plate is kept vertically above the emitter plate. Light source is put on and a saturation photo-current is recorded. An electric field is switched on which has a vertically downward direction, then
A cylindrical conductor of radius \(R\) carries a current \(I\). The value of magnetic field at a point which is \(\dfrac{R}{4}\) distance inside from the surface is \(10\,T\). The value of magnetic field at a point which is \(4R\) distance outside the surface is
The power of a thin convex lens (\(n_g = 1.5\)) is \(5.0\,D\). When it is placed in a liquid of refractive index \(n_l\), then it behaves as a concave lens of focal length \(100\,cm\). The refractive index of the liquid \(n_l\) will be
Find the value of magnetic field between the plates of a capacitor at a distance \(1\,m\) from centre, where electric field varies by \(10^{10}\,V/m\) per second.
Using an AC voltmeter the potential difference in the electrical line in a house is read to be \(234\,V\). If line frequency is known to be \(50\) cycles/s, the equation for the line voltage is
There are a \(25W-220V\) bulb and a \(100W-220V\) bulb. Which electric bulb will glow more brightly?
Silver has a work function of \(4.7\,eV\). When ultraviolet light of wavelength \(180\,nm\) is incident upon it, potential of \(7.7\,V\) is required to stop photoelectrons reaching collector plate. The potential required to stop electrons when light of wavelength \(200\,nm\) is incident upon silver is
Two particles \(X\) and \(Y\) having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii \(R_1\) and \(R_2\) respectively. The ratio of masses of \(X\) and \(Y\) is
According to the Bohr's theory of hydrogen atom, the speed of the electron, energy and the radius of its orbit vary with the principal quantum number \(n\) respectively, as
In the hydrogen atom, the electron is making \(6.6\times 10^{15}\,rps\). If the radius of orbit is \(0.53\times 10^{-10}\,m\), then magnetic field produced at the centre of the orbit is
Two identical light sources \(S_1\) and \(S_2\) emit light of same wavelength \(\lambda\). These light rays will exhibit interference if
In Meter bridge or Wheatstone bridge for measurement of resistance, the known and the unknown resistances are interchanged. The error so removed is
A fish, looking up through the water, sees the outside world contained in a circular horizon. If the refractive index of water is \(4/3\) and the fish is \(12\,cm\) below the surface of water, the radius of the circle in centimetre is
Radio waves of certain double wavelength can pass through night waves do not. The reason is that radio waves
In the Bohr model of a hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If \(a_0\) is the radius of the ground state orbit, \(m\) is the mass and \(e\) is charge on the electron and \(\varepsilon_0\) is the vacuum permittivity, the speed of the electron is
A potential difference of \(2V\) is applied between the opposite faces of a Ge crystal plate of area \(1\,cm^2\) and thickness \(0.5\,mm\). If the concentration of electrons in Ge is \(2\times 10^{19}\,m^{-3}\) and mobilities of electrons and holes are \(0.36\,m^2V^{-1}s^{-1}\) and \(0.14\,m^2V^{-1}s^{-1}\), then the current flowing through the plate will be
An AM wave has \(1800\,W\) of total power content. For \(100%\) modulation the carrier should have power content equal to
Two light rays having same wavelength \(\lambda\) in vacuum are in phase initially. Then the first ray travels a path \(l_1\) through a medium of refractive index \(n_1\) while the second ray travels a path of length \(l_2\) through a medium of refractive index \(n_2\). The two waves are combined to observe interference. The phase difference between the two waves is
The correct formula of the complex tetraammineaquachlorocobalt (III) chloride is
The equivalent conductance at infinite dilution of a weak acid such as HF
In the reaction sequence:
\[ C_2H_5I \xrightarrow{Alcoholic KOH} X \xrightarrow{Br_2/CCl_4} Y \xrightarrow{KCN} Z \xrightarrow{H_3O^+} A \]
The product \(A\) is
For a reaction type \(A + B \rightarrow\) products, it is observed that doubling concentration of \(A\) causes the reaction rate to be four times as great, but doubling amount of \(B\) does not affect the rate. The unit of rate constant is
A chemical reaction was carried out at \(320\,K\) and \(300\,K\). The rate constants were found to be \(k_1\) and \(k_2\) respectively. Then
The formula of ethyl carbinol is
Which of the following gives red colour in Victor Meyer’s test?
Enthalpy of a compound is equal to its
For which one of the following reactions will there be a positive \(\Delta S\)?
Across the lanthanide series, the basicity of the lanthanide hydroxides
When p-nitrobromobenzene reacts with sodium ethoxide, the product obtained is
A radioactive element \(X\) emits \(3\alpha\), \(1\beta\) and \(1\gamma\)-particles and forms \({}^{76}_{35}Y\). Element \(X\) is
For the reaction,
\[ 2A(g) + B_2(g) \rightleftharpoons 2AB_2(g) \]
the equilibrium constant, \(K_p\) at \(300\,K\) is \(16.0\). The value of \(K_p\) for \(AB_2(g) \rightleftharpoons A(g) + \dfrac{1}{2}B_2(g)\) is
Frenkel defect is generally observed in
Most crystals show cleavage because their atoms, ions or molecules are
\([Co(NH_3)_4Cl_2]NO_2\) and \([Co(NH_3)_4ClNO_2]Cl\) exhibit which type of isomerism?
Which of the following compounds is not coloured?
Which of the following is a Gattermann aldehyde synthesis?
Aldol is
Nitrobenzene can be converted into azobenzene by reduction with
The one which is least basic is
Coordination number of Ni in \([Ni(C_2O_4)_3]^{4-}\) is
Mg is an important component of which biomolecule occurring extensively in living world?
Sterling silver is
Identify the statement which is not correct regarding \(CuSO_4\).
Transition metals usually exhibit highest oxidation states in their
The number of Faradays needed to reduce \(4\,g\) equivalents of \(Cu^{2+}\) to Cu metal will be
Which one of the following cells can convert chemical energy of \(H_2\) and \(O_2\) directly into electrical energy?
On treatment of propanone with dilute \(Ba(OH)_2\), the product formed is
Which of the following converts \(CH_3CONH_2\) to \(CH_3NH_2\)?
Which metal aprons are worn by a radiographer to protect him from radiation?
The standard Gibbs free energy change, \(\Delta G^\circ\) is related to equilibrium constant, \(K_p\), as
The yield of the product in the reaction
\[ A_2(g) + 2B(g) \rightleftharpoons C(g) + Q\,kJ \]
would be higher at
In which of the following case, does the reaction go farthest to completion?
Formation of cyanohydrin from a ketone is an example of
Glycerol on treatment with oxalic acid at \(110^\circ C\) forms
The activity of an old piece of wood is just \(25%\) of the fresh piece of wood. If \(t_{1/2}\) of \(C-14\) is \(6000\,yr\), the age of piece of wood is
The radius of \(Na^+\) is \(95\,pm\) and that of \(Cl^-\) ion is \(181\,pm\). Hence, the coordination number of \(Na^+\) will be
The reaction, \(ROH + H_2CN_2\) in the presence of \(HBF_4\), gives the following product
The fatty acid which shows reducing property is
If \(F\) is function such that \(F(0)=2,\ F(1)=3\), and
\[ F(x+2)=2F(x)-F(x+1)\ for\ x\geq 0, \]
then \(F(5)\) is equal to
Let \(S\) be a set containing \(n\) elements. Then, number of binary operation on \(S\) is
The numerically greatest term in the expansion of \((3-5x)^{11}\) when \(x=\dfrac{1}{5}\), is
The number of solutions of the equation \(\sin(e^x)=5+x-5^x\), is
If \(a^x=b^y=c^z=d^u\) and \(a,b,c,d\) are in GP, then \(x,y,z,u\) are in
If \(z\) satisfies the equation \(|z|=z-1+2i\), then \(z\) is equal to
If \(z=\dfrac{1-i\sqrt{3}}{1+i\sqrt{3}}\), then \(\arg(z)\) is
If \(f(x)=\sqrt{\log_{10}(x^2)}\), the set of all values of \(x\) for which \(f(x)\) is real, is
For what values of \(m\) can the expression
\[ 2x^2+mxy+3y^2-5y-2 \]
be expressed as the product of two linear factors?
If \(B\) is a non-singular matrix and \(A\) is a square matrix, then \(\det(B^{-1}AB)\) is equal to
If \(f(x), g(x)\) and \(h(x)\) are three polynomials of degree 2 and
\[ \Delta(x)= \begin{vmatrix} f(x) & g(x) & h(x)
f'(x) & g'(x) & h'(x)
f''(x) & g''(x) & h''(x) \end{vmatrix} \]
then \(\Delta(x)\) is a polynomial of degree
The chances of defective screws in three boxes \(A,B,C\) are \(\dfrac{1}{5},\dfrac{1}{6},\dfrac{1}{7}\) respectively. A box is selected at random and a screw drawn from it at random is found to be defective. The probability that it came from box \(A\), is
The value of \(\dfrac{\cos\theta}{1+\sin\theta}\) is equal to
If \(3\sin\theta+5\cos\theta=5\), then the value of \(5\sin\theta-3\cos\theta\) is equal to
The principal value of \(\sin^{-1}\left\{\sin\left(\frac{5\pi}{6}\right)\right\}\) is
A rod of length \(l\) slides with its ends on two perpendicular lines. Then, the locus of its mid point is
The equation of straight line through the intersection of the lines \(2x+y=1\) and \(3x+2y=5\) and passing through the origin is
The line joining \((5,0)\) to \((10\cos\theta,10\sin\theta)\) is divided internally in the ratio \(2:3\) at \(P\). If \(\theta\) varies, then the locus of \(P\) is
If \(2x+y+k=0\) is a normal to the parabola \(y^2=-8x\), then the value of \(k\) is
The value of
\[ \lim_{n\to\infty}\left[\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\cdots+\frac{1}{n(n+1)}\right] \]
is equal to
The condition that the line \(lx+my=1\) may be normal to the curve \(y^2=4ax\), is
If \(\{f(x)\}dx=f(x)\), then \(\int \{f(x)\}^2 dx\) is equal to
\(\displaystyle \int \sin^{-1}\left(\frac{2x+2}{\sqrt{4x^2+8x+13}}\right)dx\) is equal to
If the equation of an ellipse is \(3x^2+2y^2+6x-8y+5=0\), then which of the following are true?
The equation of the common tangents to the two hyperbolas \(\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1\) and \(\dfrac{y^2}{a^2}-\dfrac{x^2}{b^2}=1\), are
Domain of the function \(f(x)=\log_x(\cos x)\), is
Range of the function \(y=\sin^{-1}\left(\dfrac{x^2}{1+x^2}\right)\), is
If \(x=\sec\theta-\cos\theta,\ y=\sec^n\theta-\cos^n\theta\), then \((x^2+4)\left(\dfrac{dy}{dx}\right)\) is equal to
If \(y=\sqrt{x+\sqrt{y+\sqrt{x+\sqrt{y+\cdots}}}}\), then \(\dfrac{dy}{dx}\) is equal to
If \(\displaystyle \int_{1}^{x}\frac{dt}{t\sqrt{t^2-1}}=\frac{\pi}{6}\), then \(x\) can be equal to
The area bounded by the curve \(y=|\sin x|\), \(x\)-axis and the lines \(x=\pi\), is
The degree of differential equation of all curves having normal of constant length \(c\) is
If \(\vec{a}=2\hat{i}+2\hat{j}+3\hat{k}\), \(\vec{b}=-\hat{i}+2\hat{j}+\hat{k}\) and \(\vec{c}=3\hat{i}+\hat{j}\), then \(\vec{a}+\vec{b}\) is perpendicular to \(\vec{c}\), if \(t\) is equal to
The distance between the line \(\vec{r}=2\hat{i}-2\hat{j}+3\hat{k}+\lambda(\hat{i}-\hat{j}+4\hat{k})\) and the plane \(\vec{r}\cdot(\hat{i}+5\hat{j}+\hat{k})=5\), is
The equation of sphere concentric with the sphere \(x^2+y^2+z^2-4x-6y-8z-5=0\) and which passes through the origin, is
If the lines \(\dfrac{x-1}{2}=\dfrac{y+1}{3}=\dfrac{z-1}{4}\) and \(\dfrac{x-3}{1}=\dfrac{y-k}{2}=\dfrac{z}{1}\) intersect, then the value of \(k\) is
The two curves \(y=3^x\) and \(y=5^x\) intersect at an angle
The equation \(\lambda x^2+4xy+y^2+\lambda x+3y+2=0\) represents a parabola, if \(\lambda\) is
If two circles \(2x^2+2y^2-3x+6y+k=0\) and \(x^2+y^2-4x+10y+16=0\) cut orthogonally, then the value of \(k\) is
If \(A(-2,1)\), \(B(2,3)\) and \(C(-2,-4)\) are three points. Then, the angle between \(BA\) and \(BC\) is
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