List of top Questions asked in KCET

If $[x]^2 - 5[x] + 6 = 0, $where [x] denotes the greatest integer function, then

A point charge A of +10µC and another point charge B of +20µC are kept Im apart in free space. The electrostatic force on A due to B is \(\overrightarrow{F_1}\), and the electrostatic force on B due to A is \(\overrightarrow{F_2}\). Then

Light of energy E falls normally on a metal of work function \(\frac{E}{3} \). The kinetic energies (K) of the photo electrons are

The ratio of molar specific heats of oxygen is

0.48 g of an organic compound on complete combustion produced 0.22 g of CO₂ . The percentage of C in the given organic compound is :

The value of $ ^{49}C_3 ^{48}C_3 ^{47}C_3 ^{46}C_3 ^{45}C_3 ^{45}C_4 $ is

A cube of side 1 cm contains 100 molecules each having an induced dipole moment of 0.2×10^-6C-m in an external electric field of 4NC^-1. The electric susceptibility of the materials is_____ C2N^-1m^-2

The number of atoms in 4.5 g of a face-centred cubic crystal with edge length 300 pm is :
(Given density=10gcm^-3 and N_A=6.022×10²³).

The I-V graph for a conductor at two different temperatures 100°C and 400°C is as shown in the figure. The temperature coefficient of resistance of the conductor is about (in per degree Celsius)

The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval 0 ≤ t ≤ 20s is

A luminous point object O is placed at a distance 2R from the spherical boundary separating two transparent media of refractive indices n₁ and n₂ as shown, where R is the radius of curvature of the spherical surface. If \(n_1=\frac{4}{3}, n_2=\frac{3}{2}\) and R =10 cm, the image is obtained at a distance from P equal to

If y=2x^3x,then \(\frac{dy}{dx}\) at x=1 is

In the circuit shown, the end A is at potential V₀ and end B is grounded. The electric current I indicated in the circuit is

The maximum volume of the right circular cone with slant height 6 units is

Which one of the following is a cationic detergent ?

Solubility product of CaC₂O₄ at a given temperature in pure water is 4×10^-9 (mol L^-1)². Solubility of CaC₂O₄ at the same temperature is:

One mole of an ideal monoatomic gas is taken round the cyclic process MNOM. The work done by the gas is

A solid cube of mass m at a temperature $θ_0$ is heated at a constant rate. It becomes liquid at temperature $θ_1$ and vapour at temperature $θ_2$ . Let $s_1$ and $s_2$ be specific heats in its solid and liquid states respectively. If $L_f$ and $L_v$ are latent heats of fusion and vaporisation respectively, then the minimum heat energy supplied to the cube until it vaporises is

Water flows through a horizontal pipe of varying cross-section at a rate of $0.314 m^3s^{-1}$. The velocity of water at a point where the radius of the pipe is 10 cm is

A thick metal wire of density A thick metal wire of density ρ and length ‘L’ is hung from a rigid support. The increase in length of the wire due to its own weight is (Y=Young’s modulus of the material of the wire)and length ‘L’ is hung from a rigid support. The increase in length of the wire due to its own weight is (Y=Young’s modulus of the material of the wire)

What is the value of acceleration due to gravity at a height equal to half the radius of the Earth, from its surface ?

A body of mass 1 kg is suspended by a weightless string which passes over a frictionless pulley of mass 2 kg as shown in the figure. The mass is released from a height of 1.6m from the ground. With what velocity does it strike the ground ?

A ceiling fan is rotating around a fixed axle as shown. The direction of angular velocity is along _______.

Dimensional formula for activity of a radioactive substance is

A particle of mass 500 g is at rest. It is free to move along a straight line. The power delivered to the particle varies with time according to the following graph :
The momentum of the particle at t=5s is