List of top Questions asked in VITEEE

The value of $2 \,tan^{-1} (cosec \,tan^{-1} x - tan \,cot^{-1} x))$ is
The value of the integral $\int\limits ^{1/2}_{-1/2}\left[\left(\frac{x+1}{x-1}\right)^{^2}+\left(\frac{x+1}{x-1}\right)^{^2}-2\right]^{^{1/2}}\:\:dx$ is
If | $x^2 - x - 6 | = x + 2$, then the values of $x$ are
A table fan rotating at a speed of 2400 rpm is switched off and the resulting variation of revolution/minute with time is shown in figure. The total number of revolutions of the fan before it, comes to rest is
Match List I (Equations) with List II (Types of process) and select the correct option.
Following compounds are given (i) $CH _{3} CH _{2} OH$ (ii) $CH _{3} COCH _{3}$ (iii) $CH _{3}- \underset{\overset{|}{C}H_3}{C}HOH$ (iv) $CH _{3} OH$ Which of the above compound(s) on being warmed with iodine solution and $NaOH$, will give iodoform?
The order of reactivity of phenyl magnesium bromide $(PhMgBr)$ with the following compounds
Three resistors $1\,\Omega , 2\,\Omega$ and $3\,\Omega $ are connected to form a triangle. Across $3\,\Omega$ resistor a $3\,V$ battery is connected. The current through $3\,\Omega$ resistor is
In a common emitter amplifier the input signal is applied across
Charge passing through a conductor of cross-section area $A=0.3 \,m ^{2}$ is given by $q=3 t^{2}+5 t+2$ in coulomb, where $t$ is in second. What is the value of drift velocity at $t=2 s ?$ (Given, $\left.n=2 \times 10^{25} / \,m ^{3}\right)$
The pressure exerted by $6.0 \,g$ of methane gas in a $0.03\, m ^{3}$ vessel at $129^{\circ} \,C$ is (Atomic masses: $C =12.01, \,H =1.01$ and $\left.R=8.314\, JK ^{-1} \,mol ^{-1}\right)$
Some of the properties of the two species, $NO _{3}^{-}$and $H _{3} O ^{+}$are described below. Which one of them is correct?
What is the value of electron gain enthalpy of $Na^+$ if $IE_1$ of $Na = 5.1 \,eV$ ?
In the following reaction, $C_6H_5CH_2Br \ce{->[{(i) \text{Mg,Ether}}][{(ii) H_3O^+}] X }$ the product ' $X$ ' is
Which has the maximum number of molecules among the following ?
Fructose reduces Tollen's reagent due to
Which of the following compound is the most basic ?
Some statements about heavy water are given below. (i) Heavy water is used as moderator in nuclear reactors (ii) Heavy water is more associated than ordinary water (iii) Heavy water is more effective solvent than ordinary water Which of the above statements are correct?
Which one of the following compounds will be most readily dehydrated ?
Which one of the following compounds will be most readily dehydrated ?
$A$ and $B$ are two metals with threshold frequencies $1.8 \times 10^{14}\, Hz$ and $2.2 \times 10^{4}\, Hz$ Two identical photons of energy $0.825 \,eV$ each are incident on them. Then photoelectrons are emitted by (Take $\left.h=6.6 \times 10^{-34} \,J - s \right)$
Two capacitors of capacities $1 \, \mu F$ and $C \, \mu F$ are connected in series and the combination is charged to a potential difference of $120 \,V$. If the charge on the combination is $80 \, \mu C$, the energy stored in the capacitor of capacity $C$ in $\mu J$ is
In the Wheatstone's network given, \(P = 10\,\Omega , Q = 20\,\Omega , R = 15 \,\Omega , S = 30 \,\Omega\), the current passing through the battery (of negligible internal resistance) is
Wheatstone's network
The potential of a large liquid drop when eight liquid drops are combined is 20 V. Then the potential of each single drop was
In hydrogen a atom, an electron is revolving in the orbit of radius $0.53\,�$ with $6.6 \times 10^{15}$ radiations/s. Magnetic field produced at the centre of the orbit is