KCET 2023

Total impedance of a series \(L\)-\(C\)-\(R\) circuit varies with angular frequency of the \(\mathrm{AC}\) source connected to it as shown in the graph. The quality factor \(Q\) of the series \(L\)-\(C\)-\(R\) circuit is

In series \(L C R\) circuit at resonance, the phase difference between voltage and current is

An ideal transformer has a turns ratio of 10. When the primary is connected to \(220 \mathrm{~V}, 50 \mathrm{~Hz}\) as source, the power output is

In the Rutherford's alpha scattering experiment, as the impact parameter increases, the scattering angle of the alpha particle

Three energy levels of hydrogen atom and the corresponding wavelength of the emitted radiation due to different electron transition are as shown. Then,

A radioactive sample has half-life of 3 years. The time required for the activity of the sample to reduce to \(\frac{1}{5}\)th of its initial value is about

In the following equation representing \(\beta^{-}\) decay, the number of neutrons in the nucleus \(X\) is
\({ }_{83}^{210} \mathrm{Bi} \longrightarrow X+e^{-1}+\bar{v}\)

A nucleus with mass number 220 initially at rest emits an alpha particle. If the \(Q\) value of reaction is \(5.5 ~\mathrm{MeV}\). Calculate the value of kinetic energy of alpha particle

Five capacitance each of value \(1 ~\mu \mathrm{F}\) are connected as shown in the figure. The equivalent capacitance between \(A\) and \(B\) is

A parallel plate capacitor of capacitance \(C_1\) with a dielectric slab in between its plates is connected to a battery. It has a potential difference \(V_1\) across its plates. When the dielectric slab is removed, keeping the capacitor co...

A particle is in uniform circular motion, related to one complete revolution of the particle, which among the statements is incorrect?

A wire of resistance \(R\) is connected across a cell of emf \((\varepsilon)\) and internal resistance \((r)\). The current through the circuit is \(I\). In time \(t\), the work done by the battery to establish the current \(I\) is

For a given electric current the drift velocity of conduction electrons in a copper wire is \(v_d\) and their mobility is \(\mu\). When the current is increased at constant temperature

Ten identical cells each emf \(2 \mathrm{~V}\) and internal resistance \(1 ~\Omega\) are connected in series with two cells wrongly connected. A resistor of \(10 ~\Omega\) is connected to the combination. What is the current through the res...

The equivalent resistance between the points A and B in the following circuit is

The resistance of a carbon resistor is \(4.7 ~\mathrm{k} \Omega \pm 5 \%\). The colour of the third band is

The four bands of a colour coded resistor are of the colours grey, red, gold and gold. The value of the resistance of the resistor is

A moving coil galvanometer is converted into an ammeter of range 0 to \(5 \mathrm{~mA}\). The galvanometer resistance is \(90 \Omega\) and the shunt resistance has a value of \(10 \Omega\). If there are 50 divisions in the galvanometer-turn...

A 60 W source emits monochromatic light of wavelength 662.5 nm. The number of photons emitted per second is

In an experiment to study photoelectric effect the observed variation of stopping potential with frequency of incident radiation is as shown in the figure. The slope and \(y\)-intercept are respectively

The energy gap of an LED is \(2.4 \mathrm{~eV}\). When the LED is switched ON, the momentum of the emitted photons is

A stretched wire of a material whose young's modulus \(Y=2 \times 10^{11} ~\mathrm{Nm}^{-2}\) has poisson's ratio 0.25 . Its lateral strain \(\varepsilon_l=10^{-3}\). The elastic energy density of the wire is

A square loop of side \(2 \mathrm{~cm}\) enters a magnetic field with a constant speed of \(2 \mathrm{~cm} \mathrm{~s}^{-1}\) as shown. The front edge enters the field at \(t=0 \mathrm{~s}\). Which of the following graph correctly depicts t...

The current in a coil changes from \(2 \mathrm{~A}\) to \(5 \mathrm{~A}\) in \(0.3 \mathrm{~s}\). The magnitude of emf induced in the coil is \(1.0 \mathrm{~V}\). The value of self-inductance of the coil is

A metallic rod of length \(1 \mathrm{~m}\) held along east-west direction is allowed to fall down freely. Given horizontal component of earth's magnetic field \(B_H=3 \times 10^{-5} \mathrm{~T}\). the emf induced in the rod at an instant $$...

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

A positively charged glass rod is brought near uncharged metal sphere, which is mounted on an insulated stand. If the glass rod is removed, the net charge on the metal sphere is

In the situation shown in the diagram, magnitude, if \(q < < |Q|\) and \(r >>>a\). The net force on the free charge \(-q\) and net torque on it about \(O\) at the instant shown are respectively.
(\(p=2 a Q\) is the dipole moment)

A uniform electric field vector \(\mathbf{E}\) exists along horizontal direction as shown. The electric potential at \(A\) is \(V_A\). A small point charge \(q\) is slowly taken from \(A\) to \(B\) along the curved path as shown. The potent...

A cubical Gaussian surface has side of length \(a=10 \mathrm{~cm}\). Electric field lines are parallel to \(X\)-axis as shown in figure. The magnitudes of electric fields through surfaces \(A B C D\) and \(E F G H\) are $$6 ~\mathrm{kNC}^{-...

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