List of top Questions asked in VITEEE- 2017

1 -Propanol and 2-propanol can be distinguished by
∫01[f(x)g′′(x)−f′′(x)g(x)]\quad\int_{0}^{1} \left[f \left(x\right)g'' \left(x\right)-f''\left(x\right)g \left(x\right)\right] dx is equal to : [Given f(0) = g(0) = 0]
The value of x obtained from the equation ∣x+αβγγx+βααβx+γ∣=0\begin{vmatrix}x+\alpha&\beta&\gamma\\ \gamma&x+\beta&\alpha\\ \alpha&\beta&x+\gamma\end{vmatrix}=0 will be
lim⁡x→∞(x23x−2−x3)=\displaystyle\lim_{x \to\infty} \left(\frac{x^{2}}{3x-2}-\frac{x}{3}\right)=
The volume V and depth x of water in a vessel are connected by the relation V=5x−x26V=5x-\frac{x^{2}}{6} and the volume of water is increasing, at the rate of 5cm3/sec,5 cm^{3}/sec, when x = 2 cm. The rate at which the depth of water is increasing, is
The area bounded by f (x) =x2,0≤x≤1,g(x)=x+2,1≤x≤2=x^{2}, 0 \le x \le 1, g\left(x\right)=x+2,1\le x\le2 and x- axis is
If z=7−i3−4i then z14=z=\frac{7-i}{3-4i} \, then\, z^{14}=
Value of ∫0π/2sinxsinxcosx\int\limits_{0}^{\pi /2} \frac{\sqrt{sin x}}{\sqrt{sin x}\sqrt{cos x}} dx is
Let A be the centre of the circle x2+y2−2x−4y−20=0,x^{2}+y^{2}-2x-4y-20=0, and B( 1,7) andD(4,-2) are points on the circle then, if tangents be drawn at B and D, which meet at C, then area of quadri 1 ateral A BCD is-
A straight line parallel to the line 2x - y + 5 = 0 is also a tangent to the curve y2=4x+5.y^{2}=4x+5. Then the point of contact is
The solution of the differential equation log x dydx+yx=\frac{d y}{d x}+\frac{y}{x} = sin 2x is
Equation 1r=18+38cos θrepresents\frac{1}{r}=\frac{1}{8}+\frac{3}{8} cos\, \theta represents
What is ZZ in the following sequence of reactions? Phenol→dustZnX→Anhyd.AlCl3CH3ClY→KMnO4AlkalineZ\text{Phenol}\xrightarrow[\text{dust}]{Zn} X \xrightarrow[{\text{Anhyd}}.AlCl_3]{CH_3Cl} Y \xrightarrow[KMnO_4]{\text{Alkaline}}Z
The value of tan⁡(90−θ)\tan (90-\theta) in the graph gives :
Which of the following are not electromagnetic waves?
The value of Planck's constant (h)(h) is 6.63×10−34Js6.63 \times 10^{-34} Js. The velocity of light is 3.0×108ms−13.0 \times 10^{8} ms ^{-1}. Which value is closest to the wavelength (in meters) of a quantum of light with frequency of 8×1015s−18 \times 10^{15} s ^{-1} ?
The emf of a particular voltaic cell with the cell reaction Hg22++H2⇌2Hg+2H+Hg_{2}^{2+}+H_{2} {\rightleftharpoons} 2Hg+2H^{+} is 0.65 V. The maximum electrical work of this cell when 0.5 g of H2H_{2} is consumed.
A vessel of depth 2d cm is half filled with a liquid of refractive index μ1\mu_{1} and the upper half with a liquid of refractive indexμ2\mu_{2}. The apparent depth of the vessel seen perpendicularly is
A certain reaction is non spontaneous at 298K. The entropy change during the reaction is 121 JK−1.JK^{-1}. Is the reaction is endothermic or exothermic ? The minimum value of Δ\DeltaH for the reaction is
A compound MpXqM_{p} X_{q} has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound is
A mixture of benzaldehyde and formaldehyde on heating with aqueous NaOH solution gives
A charged particle (electron or proton) is introduced at the origin (? = 0, ? = 0, ? = 0) with a given initial velocity v⃗\vec{v}. A uniform electric field E⃗\vec{E} and a uniform magnetic field B⃗\vec{B} exist everywhere. The velocity v⃗\vec{v}, electric field E⃗\vec{E} and magnetic field B⃗\vec{B} are given in columns 1, 2 and 3, respectively. The quantities ?0,?0?_0 , ?_0 are positive in magnitude.
Column 1 Column 2 Column 3
(I) Electron with v⃗=2E0B0x^\vec{v}=2 \frac{E_{0}}{B_{0}}\hat{x} (i) E⃗=−E0z^\vec{E}=-E_{0}\hat{z} (P) B⃗=−B0x^\vec{B}=-B_{0}\hat{x}
(II)Electron with v⃗=E0B0y^\vec{v}= \frac{E_{0}}{B_{0}}\hat{y} (ii) E⃗=−E0y^\vec{E}=-E_{0}\hat{y} (Q) B⃗=−B0x^\vec{B}=-B_{0}\hat{x}
(III) Proton with v⃗=0\vec{v}=0 (iii) E⃗=−E0x^\vec{E}=-E_{0}\hat{x} (R) B⃗=−B0y^\vec{B}=-B_{0}\hat{y}
(IV)Proton with v⃗=2E0B0x^\vec{v}=2 \frac{E_{0}}{B_{0}}\hat{x} (iv) E⃗=−E0x^\vec{E}=-E_{0}\hat{x} (S) B⃗=−B0z^\vec{B}=-B_{0}\hat{z}
In which case will the particle move in a straight line with constant velocity?
If �a� stands for the edge length of the cubic systems : simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively,
A hollow insulated conduction sphere is given a positive charge of 10 μ\muC. What will be the electric field at the centre of the sphere if its radius is 2 metres?
Which one of the following statements is not true regarding (+) Lactose ?