List of top Questions asked in VITEEE- 2024

A charge particle moving in magnetic field \( B \), has components of velocity along \( B \) as well as perpendicular to \( B \). The path of the charge particle will be:
Five charges \( +q, +5q, -2q, +3q \) and \( -4q \) are situated as shown in the figure. The electric flux due to this configuration through the surface S is: 
Five charges +q, +5q, −2q, +3q and
A body of mass \(M\) at rest explodes into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30 m/s and 40 m/s respectively. The velocity of the third piece will be:
A body of mass \(M\) at rest explodes into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30 m/s and 40 m/s respectively. The velocity of the third piece will be:
A charge particle moving in magnetic field \( B \), has components of velocity along \( B \) as well as perpendicular to \( B \). The path of the charge particle will be:
In the following figure, how many educated people are employed
many educated people are employed
If \( f(x) = \cos^{-1 } \left( \frac{\sqrt{2x^2 + 1}}{x^2 + 1} \right) \), then the range of \( f(x) \) is:
A parallel plate capacitor has 1 \(\mu\)F capacitance. One of its two plates is given \(+2 \mu C\) charge and the other plate, \(+4 \mu C\) charge. The potential difference developed across the capacitor is:
Polarizability of halide ions increases in the order:
Force between two point charges \( q_1 \) and \( q_2 \) placed in vacuum at a distance \( r \, \text{cm} \) apart is \( F \). Force between them when placed in a medium having dielectric \( K = 5 \) at \( r/5 \, \text{cm} \) apart will be:
A current of 10 A exists in a wire of cross-sectional area of \( 5 \times 10^{-6} \, \text{m}^2 \) with a drift velocity of \( 2 \times 10^{-3} \, \text{m/s} \). The number of free electrons in each cubic meter of the wire is:
Mass numbers of two nuclei are in the ratio of 4:3. Their nuclear densities will be in the ratio of:
A small ball of mass \( M \) and density \( \rho \) is dropped in a viscous liquid of density \( \rho_0 \). After some time, the ball falls with a constant velocity. What is the viscous force on the ball?
If it was a Friday on 1 January 2016, what was the day of the week on 31 December 2016?
For a group of positive charges, which of the following statements is correct?
Two parallel, long wires are kept 0.20 m apart in vacuum, each carrying current of \( x \) A in the same direction. If the force of attraction per meter of each wire is \( 2 \times 10^{-6} \, \text{N} \), then the value of \( x \) is approximately:
The range of \( 2 \left| \sin x + \cos x \right| - \sqrt{2} \) is:
A, P, B are \( 3 \times 3 \) matrices. If \( |B| = 5 \), \( | BA^T | = 15 \), \( | P^T AP | = -27 \), then one of the values of \( | P | \) is:
The derivative of  \(\sin^2\)\(( \cot^{-1} {\sqrt {( \frac{1 + x}{1 - x}} })\) with respect to \( x \) is equal to: (a) 0
 
When unpolarized light is incident at an angle of 60° on a transparent medium from air, the reflected ray is completely polarized. The angle of refraction in the medium is:
The work function of a substance is 4.0 eV. The longest wavelength of light that can cause photoelectron emission from this substance is approximately:
Evaluate the integral: $\int_{-\pi}^{\pi} x^2 \sin(x) \, dx$
The solution of the differential equation: \[ x^4 \frac{dy}{dx} + x^3 y + \csc(xy) = 0 \] is equal to:
Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following (Assume negligible air friction):
The resistivity (\( \rho \)) of a semiconductor varies with temperature. Which of the following curves represents the correct behavior? resistivity ( ρ ρ) of a semiconductor varies with temperature