List of top Questions asked in VITEEE- 2007

The imaginary part of $\frac{\left(1+i\right)^{2}}{i\left(2i-1\right)} $ is

The curve described parametrically by $x = t^2 + 2t - 1, y = 3t + 5$ represents

A coordinate bond is a dative covalent bond. Which of the below is true?

The weakest acid amongst the following is

When aqueous solution of benzene diazoniumchloride is boiled, the product formed is

If the normal at $(ap^2, 2ap)$ on the parabola $y^2 = 4ax,$ meets the parabola again at $(aq^2, 2aq)$, then

The temperature coefficient of resistance of a wire is $0.00125/K$. At $300\,K$ its resistance is 1 $\Omega$ .The resistance of the wire will be 2 $\Omega$ at

Condition for spontaneity in an isothermal process is

$AgCl$ dissolves in a solution of ${NH_3}$ but not in water because

A nuclear reaction of $^{235}_{92}U$ with a neutron produces $^{90}_{36}Kr$ and two neutrons. Other element produced in this reaction is

The velocity of a particle at which the kinetic energy is equal to its rest energy is

$\frac{1+\tan ^{2} x}{1-\tan ^{2} x} d x$ is equal to

A box contains $9$ tickets numbered $1$ to $9$ inclusive. If $3$ tickets are drawn from the box one at a time, the probability that they are alternatively either {odd, even, odd} or {even, odd, even} is

If $\sin^{-1} x + \sin^{-1} y = \frac{\pi}{2}$ , then $\cos^{-1} x + \cos^{-1} y$ is equal to

If the coefficient of mutual induction of the primary and secondary coils of an induction coil is $5\, H$ and a current of $10 A$ is cut-off in $5 \times 10^{-4} s$, the emf inducted (in volt) in the secondary coil is :

In ${TeCl4}$ the central atom tellurium involves

Four independent waves are represented by equations : (1) $X_{1}=a_{1} \sin \omega t$ (2) $X_{2}=a_{1} \sin 2 \omega t$ (3) $X_{3}=a_{1} \sin \omega_{1} t$ (4) $X_{4}=a_{1} \sin (\omega t+\delta)$ Interference is possible between waves represented by equations :

Assuming $f$ to be the frequency of first line in Balmer series, the frequency of the immediate next (i.e. second) line is Assuming $f$ to be the frequency of first line in Balmer series, the frequency of the immediate next (i.e. second) line is

A conductor and a semi-conductor are connected in parallel as shown in the figure. At a certain voltage both ammeters registers the same current. If the voltage of the DC source is increased then

$A B C D$ is a rectangle. At corners $B, C$ and $D$ of the rectangle are placed charges $+10 \times 10^{-10} C , \quad-20 \times 10^{-12} C \quad$ and $10 \times 10^{-12} C$, respectively. Calculate the potential at the fourth corner. (The side $A B=4 cm$ and $B C=3 cm )$

A galvanometer acting as a voltmeter will have

Carbylamine reaction is given by aliph

Two electrons one moving in opposite direction with speeds $0.8\,c$ and $0.4\,c$ where c is the speed of light in vacuum. Then the relative speed is about

The sum of the series $ \frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+... $ upto $ n $ term is