List of top Questions asked in KCET

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

A thick metal wire of density \( \rho \) and length \( L \) is hung from a rigid support. The increase in length of the wire due to its own weight

Water flows through a horizontal pipe of varying cross-section at a rate of 0.314 m³/s. The velocity of water at a point where the radius of the pipe is 10 cm is

A solid cube of mass \( m \) at a temperature \( \theta_0 \) is heated at a constant rate. It becomes liquid at temperature \( \theta_1 \), and vapor at temperature \( \theta_2 \). Let \( s_1 \) and \( s_2 \) be specific heats in its solid and liquid states respectively. If \( L \) and \( L_v \) are latent heats of fusion and vaporization respectively, then the minimum heat energy supplied to the cube until it vaporises is

One mole of an ideal monatomic gas is taken round the cyclic process \( MNOM \). The work done by the gas is

Electric field at a distance ‘r’ from an infinitely long uniformly charged straight conductor, having linear charge density λ is E₁. Another uniformly charged conductor having same linear charge density λ is bent into a semicircle of radius ‘r’. The electric field at its centre is E₂ . Then

For a given pair of transparent media, the critical angle for which colour is maximum?

An equiconvex lens made of glass of refractive index \(\frac{3}{2}\) has focal length f in air. It is completely immersed in water of refractive index \(\frac{4}{3}\). The percentage change in the focal length is

When light propagates through a given homogeneous medium, the velocities of

If A and B are two matrices such that AB=B and BA=A then A² + B² =

The modulus of the complex number \(\frac{(1+i)^2(1+3i)}{(2-6i)(2-2i)}\) is

The ratio of the magnitudes of electric field to the magnetic field of an electromagnetic wave is of the order of

The reducing agent in the given equations :
\(4\ Ag_{(s)}+8\ CN_{(aq)}^-+2H_2O_{(aq)}+O_{2_{(g)}}\rightarrow4[Ag(CN)_2]_{(aq)}^-+4\ OH_{(aq)}^-\)
\(2[Ag(CN)_2]_{(aq)}^-+Zn_{(s)}\rightarrow[Zn(CN)_4]_{(aq)}^{2-}+2Ag_{(s)}\)

Ten identical cells each emf 2V and internal resistance 1Ω are connected in series with two cells wrongly connected. A resistor of 10Ω is connected to the combination. What is the current through the resistor?

A full-wave rectifer with diodes D₁ and D₂ is used to rectify 50 Hz alternating voltage. The diode D₁ conducts _______ times in one second.

If \(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\) are in A.P., then p, q, r

In a population of 800 rabbits showing Hardy-Weinberg equilibrium, the frequency of recessive individuals was 0.16. What is the frequency of heterozygous individuals?

A moving coil galvanometer is converted into an ammeter of range 0 to 5mA. The galvanometer resistance is 90Ω and the shunt resistance has a value of 10Ω. If there are 50 divisions in the galvanometer-turnedammeter on either sides of zero, its current sensitivity is

A particle moves along the curve \(\frac{x^2}{16}+\frac{y^2}{4}=1\). When the rate of change of abscissa is 4 times that of its ordinate, then the quadrant in which the particle lies is

Let f(x) = sin 2x + cos 2x and g(x)=x²-1, then g(f(x)) is invertible in the domain

The value of \(\begin{vmatrix}     \sin^2 14 \degree & \sin^2 66\degree & \tan 135\degree \\     \sin^2 66\degree & \tan 135\degree &     \sin^2 14 \degree \\     \tan 135\degree & \sin^2 14 \degree & \sin^2 66\degree \end{vmatrix}\)

n^th term of the series
\(1+\frac{3}{7}+\frac{5}{7^2}+\frac{1}{7^2}+...\) is

A pair of compounds having the same boiling points are

The heating of phenyl methyl ether with HI produces an aromatic compound A which on treatment with con. HNO₃ gives B. A and B respectively are,

In the Young’s double slit experiment, the intensity of light passing through each of the two double slits is 2 × 10^-2 Wm^-2. The screen-slit distance is very large in comparison with slit-slit distance. The fringe width is β. The distance between the central maximum and a point P on the screen is \(\frac{\beta}{3}\). Then the total light intensity at that point is