List of top Questions asked in VITEEE

The correct increasing order of basic strength for the following compounds is:

Water falls from a \( 40 \) m high dam at the rate of \( 9 \times 10^4 \) kg per hour. Fifty percent of gravitational potential energy can be converted into electrical energy. The number of \( 100W \) lamps that can be lit is:

A force \( \mathbf{F} = \alpha \hat{i} + 3 \hat{j} + 6 \hat{k} \) is acting at a point \( \mathbf{r} = 2 \hat{i} - 6 \hat{j} - 12 \hat{k} \). The value of \( \alpha \) for which angular momentum about the origin is conserved is:

Equipotential surfaces are shown in the figure. The electric field strength will be:

A and B are two metals with threshold frequencies \( 1.8 \times 10^{14} \) Hz and \( 2.2 \times 10^{14} \) Hz. Two identical photons of energy \( 0.825 \) eV each are incident on them. Then photoelectrons are emitted in (Take \( h = 6.6 \times 10^{-34} \) Js):

A square frame of side \( 10 \) cm and a long straight wire carrying current \( 1A \) are in the plane of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of \( 10 \) m/s (see figure). The induced EMF at the time the left arm of the frame is at \( x = 10 \) cm from the wire is:

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:

In YDSE, how many maximas can be obtained on a screen, including central maxima, on both sides of the central fringe if \( \lambda = 3000\) Å, \( d = 5000\) Å?

A given ray of light suffers minimum deviation in an equilateral prism \( P \). Additional prisms \( Q \) and \( R \) of identical shape and of the same material as \( P \) are now added as shown in the figure. The ray will now suffer:
\includegraphics[width=0.5\linewidth]{31.png}

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:

The half-life of radioactive radon is 3.8 days. The time at the end of which \(\frac{1}{20}th\) of the Radon sample will remain undecayed is (given log₁₀^e=0.4343)

A ball of radius \( r \) and density \( \rho \) falls freely under gravity through a distance \( h \) before entering water. The velocity of the ball does not change even on entering water. If the viscosity of water is \( \eta \), the value of \( h \) is given by:
\includegraphics[width=0.5\linewidth]{28.png}

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?

An \( \alpha \)-particle of 10 MeV collides head-on with a copper nucleus (\( Z = 29 \)) and is deflected back. The minimum distance of approach between the centers of the two is:

The pressure inside a tyre is 4 times that of the atmosphere. If the tyre bursts suddenly at temperature \( 300K \), what will be the new temperature?

An electron (mass = \( 9 \times 10^{-31} \) kg, charge = \( 1.6 \times 10^{-19} \) C) moving with a velocity of \( 10^6 \) m/s enters a magnetic field. If it describes a circle of radius \( 0.1 \) m, then the strength of the magnetic field must be:

The ozone layer in the atmosphere absorbs:

An element of \( 0.05 \) m is placed at the origin, carrying a large current of \( 10 A \). The magnetic field at a perpendicular distance of \( 1 \) m is:

If \( m \) is magnetic moment and \( B \) is the magnetic field, then the torque is given by:

The P-V diagram of a diatomic ideal gas system undergoing a cyclic process is shown in the figure. The work done during the adiabatic process \( CD \) is (Use \( \gamma = 1.4 \)):

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:

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.
\includegraphics[width=0.5\linewidth]{27.png}

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.

A parallel plate air capacitor of capacitance \( C \) is connected to a cell of emf \( V \) and then disconnected from it. A dielectric slab of dielectric constant \( K \), which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?