KCET 2022

In a series \(L C R\) circuit, \(R=300 \Omega, L=0.9 \mathrm{H}, C=2.0 \mu \mathrm{F}\) and \(\omega=1000 \mathrm{~rad} / \mathrm{s}\), then impedance of the circuit is

A series resonant \(\mathrm{AC}\) circuit contains a capacitance \(10^{-6} \mathrm{~F}\) and an inductor of \(10^{-4} \mathrm{H}\). The frequency of electrical oscillations will be

A fully charged capacitor \(C\) with initial charge \(q_0\) is connected to a coil of self inductance \(L\) at \(t=0\). The time at which the energy is stored equally between the electric and the magnetic field is

An alternating current is given by \(i=i_1 \sin \omega t+i_2 \cos \omega t\). The rms current is given by

The radius of hydrogen atom in the ground state is 0.53\(\mathop A\limits^o\). After collision with an electron, it is found to have a radius of 2.12\(\mathop A\limits^o\), the principal quantum number \(n\) of the final state of the atom...

In accordance with the Bohr's model, the quantum number that characterises the Earth's revolution around the Sun in an orbit of radius \(1.5 \times 10^{11} \mathrm{~m}\) with orbital speed \(3 \times 10^4 \mathrm{~ms}^{-1}\) is
[given, mass...

If an electron is revolving in its Bohr orbit having Bohr radius of 0.529\(\mathop A\limits^o\), then the radius of third orbit is

Binding energy of a nitrogen nucleus \(\left[{ }_7^{14} \mathrm{~N}\right]\), given \(m\left[{ }_7^{14} \mathrm{~N}\right]=14.00307 \mathrm{u}\)

Which of the following radiations is deflected by electric field?

A nuclear reactor delivers a power of \(10^9 \mathrm{~W}\), the amount of fuel consumed by the reactor in one hour is

A parallel place capacitor is charged by connecting a \(2 \mathrm{~V}\) battery across it. It is then disconnected from the battery and a glass slab is introduced between plates. Which of the following pairs of quantities decrease?

The centre of mass of an extended body on the surface of the earth and its centre of gravity

A car is moving in a circular horizontal track of radius \(10 \mathrm{~m}\) with a constant speed of \(10 \mathrm{~ms}^{-1}\). A bob is suspended from the roof of the car by a light wire of length \(1.0 \mathrm{~m}\). The angle made by the ...

A charged particle is moving in an electric field of \(3 \times 10^{-10} \mathrm{Vm}^{-1}\) with mobility \(2.5 \times 10^6 \mathrm{~m}^2 / \mathrm{V}-\mathrm{s}\), its drift velocity is

Wire bound resistors are made by winding the wires of an alloy of

10 identical cells each potential \(E\) and internal resistance \(r\) are connected in series to form a closed circuit.

Determine the potential difference across three cells using an ideal voltmeter.

In an atom electrons revolve around the nucleus along a path of radius \(0.72\mathop A\limits^o\) making \(9.4 \times 10^{18}\) revolutions per second. The equivalent currents is [given, \(e=1.6 \times 10^{-19} \mathrm{C}\)]

When a metal conductor connected to left gap of a meter bridge is heated, the balancing point

A wire of a certain material is stretched slowly by \(10 \%\). Its new resistance and specific resistance becomes respectively

A galvanometer of resistance \(50 \Omega\) is connected to a battery \(3 \mathrm{~V}\) along with a resistance \(2950 \Omega\) in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this defle...

If voltage across a bulb rated \(220 \mathrm{~V}, 100 \mathrm{~W}\) drops by \(2.5 \%\) of its rated value, then the percentage of the rated value by which the power would decrease is

The kinetic energy of the photoelectrons increases by \(0.52 \mathrm{~eV}\) when the wavelength of incident light is changed from \(500 \mathrm{~nm}\) to another wavelength which is approximately

The de-Broglie wavelength of a particle of kinetic energy \(K\) is \(\lambda\), the wavelength of the particle, if its kinetic energy \(\frac{K}{4}\) is

In a photo electric experiment, if both the intensity and frequency of the incident light are doubled, then the saturation photoelectric current

A metallic rod breaks when strain produced is \(0.2 \%\). The Young's modulus of the material of the \(\operatorname{rod} 7 \times 10^9 \mathrm{~N} / \mathrm{m}^2\). The area of crosssection to support a load of \(10^4 \mathrm{~N}\) is

A long solenoid has 500 turns, when a current of \(2 \mathrm{~A}\) is passed through it, the resulting magnetic flux linked with each turn of the solenoid is \(4 \times 10^{-3} \mathrm{~Wb}\), then self induction of the solenoid is

A magnetic field of flux densiity \(1.0 \mathrm{~Wb} \mathrm{~m}^{-2}\) acts normal to a 80 turn coil of \(0.01 \mathrm{~m}^2\) area. If this coil is removed from the field in \(0.2 \mathrm{~s}\), then the emf induced in it is

Which of the following radiations of electromagnetic waves has the highest wavelength ?

A tiny spherical oil drop carrying a net charge \(q\) is balanced in still air, with a vertical uniform electric field of strength \(\frac{81}{7} \pi \times 10^5 \mathrm{~V} / \mathrm{m}\). When the field is switched OFF, the drop is observ...

Four charges \(+q_1+2 q_1+q\) and \(-2 q\) are placed at the corners of a square \(A B C D\) respectively. The force on a unit positive charge kept at the centre \(O\) is

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