List of top Questions asked in KCET, JIPMER

A point charge A of +10\mu C and another point charge B of +20\mu C are kept 1m 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

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?

For a particle executing simple harmonic motion (SHM), at its mean position:

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 \( 0 \leq t \leq 20 \, \text{s} \) is

A square loop of side length \( a \) is moving away from an infinitely long current-carrying conductor at a constant speed \( v \) as shown. Let \( x \) be the instantaneous distance between the long conductor and side AB. The mutual inductance \( M \) of the square loop - long conductor pair changes with time \( t \) according to which of the following graphs?

The magnetic field at the centre of a circular coil of radius \( R \) carrying current \( I \) is 64 times the magnetic field at a distance \( x \) on its axis from the centre of the coil. Then the value of \( x \) is

A coil having 9 turns carrying a current produces a magnetic field \( B_1 \) at the centre. Now the coil is rewound into 3 turns carrying the same current. Then the magnetic field at the centre \( B_2 \) is:

Among the given pair of vectors, the resultant of two vectors can never be 3 units. The vectors are

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

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

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

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