KCET 2022

An electric dipole with dipole moment \(4 \times 10^{-9} \mathrm{C}-\mathrm{m}\) is aligned at \(30^{\circ}\) with the direction of a uniform electric field of magnitude \(5 \times 10^4 \mathrm{NC}^{-1}\), the magnitude of the torque acting...

A charged particle of mass \(m\) and charge \(q\) is released from rest in an uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after \(t\) seconds is

The electric field and the potential of an electric dipole vary with distance \(r\) as

Two tiny spheres carrying charges \(1.8 \mu \mathrm{C}\) and \(2.8 \mu \mathrm{C}\) are located at \(40 \mathrm{~cm}\) apart. The potential at the mid - point of the line joining the two charges is

Electrical as well as gravitational affects can be thought to be caused by fields. Which of the following is true for an electrical or gravitational field?

"Heat cannot be flow itself from a body at lower temperature to a body at higher temperature". This statement corresponds to

Two masses of \(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are suspended with the help of massless inextensible strings as shown in figure below.

When whole system is going upwards with acceleration \(2 \mathrm{~m} / \mathrm{s}^2\), the value...

Two objects are projected at an angle \(\theta^{\circ}\) and \(\left(90-\theta^{\circ}\right)\), to the horizontal with the same speed. The ratio of their maximum vertical heights is

The displacement \(x\) (in \(\mathrm{m}\)) of a particle of mass \(m\) (in \(\mathrm{kg}\)) moving in one dimension under the action of a force, is related to time \(t\) (in sec) by \(t=\sqrt{x}+3\). The displacement of the particle when it...

A metallic rod of mass per unit length \(0.5 \mathrm{~kg} \mathrm{~m}^{-1}\) is lying horizontally on a smooth inclined plane which makes an angle of \(30^{\circ}\) with the horizontal. A magnetic field of strength \(0.25 \mathrm{~T}\) is a...

A proton moves with a velocity of \(5 \times 10^6 \hat{\mathbf{\widehat j} m \mathrm{~m}^{-1}}\) through the uniform electric field,
$$\mathbf{\overrightarrow E}=4 \times 10^6[2 \hat{\mathbf{i}}+0.2 \hat{\mathbf{j}}+0.1 \hat{\mathbf{k}}] \...

A solenoid of length \(50 \mathrm{~cm}\) having 100 turns carries a current of \(2.5 \mathrm{~A}\). The magnetic field at one end of the solenoid is

A circular coil of wire of radius \(r\) has \(n\) turns and carries a current \(I\). The magnetic induction \(B\) at a point on the axis of the coil at a distance \(\sqrt{3} r\) from its centre is

Which of the following statements proves that Earth has a magnetic field ?

The power of a equi-concave lens is \(-4.5 \mathrm{D}\) and is made of a material of refractive index 1.6, the radii of curvature of the lens is

A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to \(\frac{3}{4}\) of the angle of the prism. The angle of deviation ...

A convex lens of focal length \(f\) is placed somewhere in between an object and a screen. The distance between the object and the screen is \(x\). If the numerical value of the magnification produced by the lens is \(m\), then the focal le...

Focal length of a convex lens will be maximum for

Consider a glass slab which is silvered at one side and the other side is transparent. Given the refractive index of the glass slab to be 1.5. If a ray of light is incident at an angle of \(45^{\circ}\) on the transparent side, then the dev...

The angular speed of a motor wheel is increased from \(1200 \mathrm{~rpm}\) to \(3120 \mathrm{~rpm}\) in \(16 \mathrm{~s}\). The angular acceleration of the motor wheel is

The resistivity of a semiconductor at room temperature is in between

The forbidden energy gap for Ge crystal at 0K is

Which logic gate is represented by the following combination of logic gates?

The displacement of a particle executing SHM is given by \(x=3 \sin \left[2 \pi t+\frac{\pi}{4}\right]\), where \(x\) is in metre and \(t\) is in seconds. The amplitude and maximum speed of the particles is

The Vernier scale of a travelling microscope has 50 divisions which coincides with 49 main scale divisions. If each main scale division is \(0.5 \mathrm{~mm}\), then the least count of the microscope is

For light diverging from a finite point source,

The fringe width for red colour as compared to that for violet colour is approximately

In case of Fraunhoffer diffraction at a single slit, the diffraction pattern on the screen is correct for which of the following statements?

When a compact disc (CD) is illuminated by small source of white light coloured bands are observed. This is due to

A smooth chain of length \(2 \mathrm{~m}\) is kept on a table such that its length of \(60 \mathrm{~cm}\) hangs freely from the edge of the table. The total mass of the chain is \(4 \mathrm{~kg}\). The work done in pulling the entire chain ...