KCET 2023

Electric field at a distance \(r\) from an infinitely long uniformly charged straight conductor, having linear charge density \(\lambda\) is \(E_1\). Another uniformly charged conductor having same linear charge density \(\lambda\) is bent ...

A closed water tank has cross-sectional area \(A\). It has a small hole at a depth of \(h\) from the free surface of water. The radius of the hole is \(r\) so that \(r \ll \sqrt{\frac{A}{\pi}}\). If \(p_o\) is the pressure inside the tank a...

When a planet revolves around the Sun, in general, for the planet

\(100 \mathrm{~g}\) of ice at \(0^{\circ} \mathrm{C}\) is mixed with \(100 \mathrm{~g}\) of water at \(100^{\circ} \mathrm{C}\). The final temperature of the mixture is
[Take, \(L_f=3.36 \times 10^5 \mathrm{~J} \mathrm{~kg}^{-1}\) and $$S_w...

The \(p\)-\(V\) diagram of a Carnot's engine is shown in the graph below. The engine uses 1 mole of an ideal gas as working substance. From the graph, the area enclosed by the \(p\)-\(V\) diagram is [The heat supplied to the gas is 8000 J]

The speed of sound in an ideal gas at a given temperature \(T\) is \(v\). The rms speed of gas molecules at that temperature is \(v_{\text {rms }}\). The ratio of the velocities \(v\) and \(v_{\text {rms }}\) for helium and oxygen gases are...

Pressure of ideal gas at constant volume is proportional to .........

A body of mass \(10 \mathrm{~kg}\) is kept on a horizontal surface. The coefficient of kinetic friction between the body and the surface is 0.5. A horizontal force of \(60 \mathrm{~N}\) is applied on the body. The resulting acceleration of ...

The Curie temperature of cobalt and iron are \(1400 \mathrm{~K}\) and \(1000 \mathrm{~K}\) respectively. At \(T=1600 \mathrm{~K}\), the ratio of magnetic susceptibility of cobalt to that of iron is

The horizontal component of Earth's magnetic field at a place is \(3 \times 10^{-5} \mathrm{~T}\). If the dip at that place is \(45^{\circ}\), the resultant magnetic field at that place is

A body is moving along a straight line with initial velocity \(v_0\). Its acceleration \(a\) is constant. After \(t\) seconds, its velocity becomes \(v\). The average velocity of the body over the given time interval is

A charged particle is subjected to acceleration in a cyclotron as shown. The charged particle undergoes increase in its speed

A positively charged particle \(q\) of mass $m$ is passed through a velocity selector. It moves horizontally rightward without deviation along the line \(y=\frac{2 m v}{q B}\) with a speed \(v\). The electric field is vertically downwards a...

The torque acting on a magnetic dipole placed in uniform magnetic field is zero, when the angle between the dipole axis and the magnetic field is .........

A proton and an alpha-particle moving with the same velocity enter a uniform magnetic field with their velocities perpendicular to the magnetic field. The ratio of radii of their circular paths is

For a point object, which of the following always produces virtual image in air?

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

A point object is moving at a constant speed of 1 ms\(^{-1}\) along the principal axis of a convex lens of focal length 10 cm. The speed of the image is also 1 ms\(^{-1}\), when the object is at ............. cm from the optical centre of t...

The moment of inertia of a rigid body about an axis

Seven identical discs are arranged in a planar pattern, so as to touch each other as shown in the figure. Each disc has mass \(m\) radius \(R\). What is the moment of inertia of system of six discs about an axis passing through the centre o...

When a \(p\)-\(n\) junction diode is in forward bias, which type of charge carriers flows in the connecting wire?

A full-wave rectifier with diodes \(D_1\) and \(D_2\) is used to rectify \(50 \mathrm{~Hz}\) alternating voltage. The diode \(D_1\) conducts ......... times in one second.

A truth table for the given circuit is

A block of mass \(m\) is connected to a light spring of force constant \(k\). The system is placed inside a damping medium of damping constant \(b\). The instantaneous values of displacement, acceleration and energy of the block are $$x, a$...

The true length of a wire is \(3.678 \mathrm{~cm}\). When the length of this wire is measured using instrument \(A\), the length of the wire is \(3.5 \mathrm{~cm}\). When the length of the wire is measured using instrument \(B\), it is foun...

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

An unpolarised light of intensity \(I\) is passed through two polaroids kept one after the other with their planes parallel to each other. The intensity of light emerging from second polaroid is \(\frac{I}{4}\). The angle between the pass a...

In the Young's double slit experiment, the intensity of light passing through each of the two double slits is \(2 \times 10^{-2} \mathrm{~Wm}^{-2}\). The screen-slit distance is very large in comparison with slit-slit distance. The fringe w...

A ball of mass \(0.2 \mathrm{~kg}\) is thrown vertically down from a height of \(10 \mathrm{~m}\). It collides with the floor and loses \(50 \%\) of its energy and then rises back to the same height. The value of its initial velocity is