List of top Questions asked in VITEEE

Cuprous ion is colourless while cupric ion is coloured because:
Which of the following pairs of compounds is isoelectronic and isostructural?
In the given figure, two equal positive point charges \( q_1 = q_2 = 2.0 \mu C \) interact with a third point charge \( Q = 4.0 \mu C \). The magnitude and direction of the net force on \( Q \) is:
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Which of the following cannot be made by using Williamson's synthesis?
\( P_A \) and \( P_B \) are the vapor pressures of pure liquid components A and B, respectively, in an ideal binary solution. If \( X_A \) represents the mole fraction of component A, the total pressure of the solution will be:
Which one of the following curves represents the variation of impedance \( (Z) \) with frequency \( f \) in a series LCR circuit?
A convex lens has power \( P \). It is cut into two halves along its principal axis. Further, one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figure). Choose the incorrect option for the reported pieces.
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A Carnot engine takes \( 3 \times 10^6 \) cal of heat from a reservoir at \( 627^\circ C \), and gives it to a sink at \( 27^\circ C \). The work done by the engine is:
In a Rutherford scattering experiment, when a projectile of charge \( Z_1 \) and mass \( M_1 \) approaches a target nucleus of charge \( Z_2 \) and mass \( M_2 \), the distance of closest approach is \( r_0 \). The energy of the projectile is:
Assertion :
The binding energy of the nucleus increases with the increase in atomic number. 
Reason :
Heavier elements have a greater number of non-radioactive isotopes than radioactive isotopes.

For the circuit shown in the figure, the current through the inductor is \( 0.9A \) while the current through the condenser is \( 0.4A \). Then: 
 

Two identical blocks A and B, each of mass 'm' resting on a smooth floor are connected by a light spring of natural length L and spring constant K, with the spring at its natural length. A third identical block 'C' (mass m) moving with a speed v along the line joining A and B collides with A. the maximum compression in the spring is
Light of wavelength \( \lambda_A \) and \( \lambda_B \) falls on two identical metal plates A and B respectively. The maximum kinetic energy of photoelectrons is \( K_A \) and \( K_B \) respectively. Given that \( \lambda_A = 2\lambda_B \), which one of the following relations is true?

If \( V_1 \) is the velocity of a body projected from point A and \( V_2 \) is the velocity of a body projected from point B, which is vertically below the highest point C, and if both the bodies collide, then: 
 

The shortest distance between the lines \( x = y + 2 = 6z - 6 \) and \( x + 1 = 2y = -12z \) is:
What is the approximate percentage increase in the production of Monopoly from 1993 to 1995?
The mean and variance of a random variable \( X \) having binomial distribution are 4 and 2, respectively. Find \( P(X = 1) \).
If \( n(A) = 4 \) and \( n(B) = 7 \), then the difference between the maximum and minimum value of \( n(A \cup B) \) is:
The domain of the function \[ f(x) = \frac{1}{\sqrt{9 - x^2}} \] is:
Evaluate: \[ \cos^{-1} \frac{1}{2} + \sin^{-1} (1) + \tan^{-1} \frac{1}{\sqrt{3}} \]

The determinant of the matrix:

is:

The number of nonzero terms in the expansion of \[ (1 + 3\sqrt{2}x)^9 + (1 - 3\sqrt{2}x)^9 \] is:
The general solution of the differential equation given by: \[ \tan^{-1} x + \tan^{-1} y = c \]
If the function \[ f(x) = \begin{cases} 1, & x \leq 2 \\ ax + b, & 2 < x < 4 \\ 7, & x \geq 4 \end{cases} \] is continuous at \( x = 2 \) and \( x = 4 \), then the values of \( a \) and \( b \) are:

Consider a curve \( y = y(x) \) in the first quadrant as shown in the figure. Let the area \( A_1 \) be twice the area \( A_2 \). The normal to the curve perpendicular to the line \[ 2x - 12y = 15 \] does NOT pass through which point?