MHT CET 2024 Physics Paper: 16 May, Shift 2

If a transformer of an audio amplifier has output impedance $8000\,\Omega$ and the speaker has input impedance $8\,\Omega$, the primary and secondary turns of this transformer connected between the output of amplifier and to loudspeaker should have the ratio

An inductance of 2 mH, a condenser of $20\ \mu\text{F}$ and a resistance of $50\ \Omega$ are connected in series to an a.c. source. The reactance of inductor and condenser are same. The reactance of either of them will be

A light bulb connected in series with a capacitor and an a.c. source is glowing with a certain brightness. On reducing the capacitance of the capacitor and the frequency of the source, the brightness of the lamp (respectively)

In an $LCR$ circuit, if ' $V$ ' is the effective value of the applied voltage, $V_R$ is the voltage across ' $R$ ', ' $V_L$ ' and ' $V_C$ ' is the effective voltage across ' L ' and ' $C$ ' respectively then

In the second orbit of hydrogen atom, the energy of an electron is ' $E$ '. In the third orbit of helium atom, the energy of the electron will be (atomic number of helium $= 2$)

The graph shows the variation of voltage ' V ' across the plates of two capacitors $A$ and $B$ versus increase in charge ' $Q$ ' stored in them. Then

Air capacitor has capacitance ' $C_1$ '. The space between two plates of capacitor is filled with two dielectrics as shown in figure. The new capacitance of the capacitor is ' $C_2$ '. The ratio $\frac{C_1}{C_2}$ is $(d =$ distance between two plates of capacitor, $K_1$ and $K_2$ are dielectric constants of two dielectrics respectively)

Three identical metal balls each of radius ' $r$ ' are placed such that an equilateral triangle is formed when centres of three ball are joined. The centre of mass of the system is located at

Two objects of masses ' $m_1$ ' and ' $m_2$ ' are moving in the circles of radii ' $r_1$ ' and ' $r_2$ ' respectively. Their respective angular speeds ' $\omega_1$ ' and ' $\omega_2$ ' are such that they both complete one revolution in the same time ' $t$ '. The ratio of linear speed of ' $m_2$ ' to that of ' $m_1$ ' is

The linear speed of a particle at the equator of the earth due to its spin motion is ' V '. The linear speed of the particle at latitude $30^\circ$ is

$\left[\begin{matrix} \sin 30^\circ = \cos 60^\circ = 1/2 \\ \cos 30^\circ = \sin 60^\circ = \sqrt{3}/2 \end{matrix}\right]$

A body performing uniform circular motion of radius ' $R$ ' has frequency ' $n$ '. Its centripetal acceleration per unit radius is proportional to $(n)^x$. The value of $x$ is

Two identical galvanometers are converted into an ammeter and into milliammeter. For the same current, the value of shunt of the ammeter as compared to that of milliammeter is

When a resistance of $200\ \Omega$ is connected in series with a galvanometer of resistance ' $G$ ', its range is ' $V$ '. To triple its range, a resistance of $2000\ \Omega$ is connected in series. The value of ' $G$ ' is

Kinetic energy of a proton is equal to energy $E$ of a photon. Let ' $\lambda_1$ ' be the de-Broglie wavelength of proton and ' $\lambda_2$ ' be the wavelength of photon. If $\left(\frac{\lambda_1}{\lambda_2}\right) \propto E^n$ then the value of ' $n$ ' is

A point source of light is used in a photoelectric effect. If the source is removed farther from the emitting metal, then the stopping potential will

A circular coil of resistance ' $R$ ', area ' $A$ ', number of turns ' N ' is rotated about its vertical diameter with angular speed ' $\omega$ ' in a uniform magnetic field of magnitude ' $B$ '. The average power dissipated in a complete cycle is

A coil is wound on a core of rectangular crosssection. If all the linear dimensions of the core are increased by a factor 2 and number of turns per unit length of coil remains same, the self inductance increases by a factor of (Assume, permeability is same)

A hollow cylinder has charge ' $q$ ' $C$ within it. If ' $\phi$ ' is the electric flux associated with the curved surface B, the flux linked with the plane surface A will be:

' $n$ ' small drops of same size are charged to ' $V$ ' volt each. If they coalesce to form a single large drop, then its potential will be

A boy weighs 72 N on the surface of earth. The gravitational force on a body due to earth at a height equal to half the radius of earth will be

A solenoid having 400 turns per metre has a core of a material with relative permeability 400. When a current of 0.5 A is passed through it, the magnetization of the core material in $\text{Am}^{-1}$ is nearly

A body travelling with uniform acceleration crosses two points A and B with velocities $20\text{ m/s}$ and $30\text{ m/s}$ respectively. The speed of the body at mid point of A and B is (nearly)

An arc of a circle of radius ' $R$ ' subtends an angle $\frac{\pi}{2}$ at the centre. It carries a current $I$. The magnetic field at the centre will be ( $\mu_0 =$ permeability of free space)

A current 'I' flows in anticlockwise direction in a circular arc of a wire having $\left(\frac{3}{4}\right)$th of circumference of a circle of radius R. The magnetic field ' $B$ ' at the centre of circle is ( $\mu_0 =$ permeability of free space)

Two radioactive substances A and B have decay constants ' $5\lambda$ ' and ' $\lambda$ ' respectively. At $t = 0$, they have the same number of nuclei. The ratio of number of nuclei of $A$ to those of $B$ will be $\left(\frac{1}{e}\right)^2$ after a time interval

The kinetic energy of a particle, executing simple harmonic motion is 16 J when it is in mean position. If amplitude of motion is 25 cm and the mass of the particle is 5.12 kg, the period of oscillation is

The bob of a pendulum of length ' $l$ ' is pulled aside from its equilibrium position through an angle ' $\theta$ ' and then released. The bob will then pass through its equilibrium position with speed ' $v$ ', where ' $v$ ' equal to ( $g =$ acceleration due to gravity)

A particle performs linear S.H.M. At a particular instant, velocity of the particle is ' $u$ ' and acceleration is ' $\alpha$ ' while at another instant, velocity is ' $v$ ' and acceleration is ' $\beta$ ' $(0 < \alpha < \beta)$. The distance between the two positions is

An optician makes spectacles having a combination of a convex lens of focal length 40 cm in contact with a concave lens of focal length 25 cm. The power of this combination of lenses in dioptre is

A ray of light travelling through a rarer medium is incident at very small angle ' $i$ ' on a glass slab and after refraction its velocity is reduced by $25\%$. The angle of deviation is

A plane mirror is placed at the bottom of a tank containing a liquid of refractive index ' $\mu$ ', ' $p$ ' is a small object at a height ' $h$ ' above the mirror. An observer ' $O$ ' vertically above ' $p$ ' outside the liquid sees ' $p$ ' and the image in a mirror. The apparent distance between these two will be

Three point masses, each of mass ' $m$ ' are placed at the corners of an equilateral triangle of side ' $L$ '. The moment of inertia of the system about an axis passing through one of the vertices and parallel to the side joining other two vertices will be

When a small amount of impurity atoms are added to semiconductor, then generally its resistivity

To get the truth table shown from the following logic circuit, the logic gate G should be

The Boolean expression for the given combination of logic gates is

A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be

On the surface of the liquid in equilibrium, molecules of the liquid possess

A liquid drop having surface energy ' $E$ ' is spread into 512 droplets of same size. The final surface energy of the droplets is

Temperature remaining constant, the pressure of gas is decreased by $20\%$. The percentage change in volume is

The first operation involved in a Carnot cycle is

The ratio of the specific heats $\frac{C_p}{C_v} = \gamma$, in terms of degrees of freedom ( n) is

A monoatomic ideal gas is heated at constant pressure. The percentage of total heat used in changing the internal energy is

During an experiment, an ideal gas is found to obey an additional law $VP^{2} =$ constant. The gas is initially at temperature ' T ' and volume ' V '. What will be the temperature of the gas when it expands to a volume 2 V?

At certain temperature, $\text{rod A}$ and $\text{rod B}$ of different materials have lengths $\text{L}_{\text{A}}$ and $\text{L}_B$ respectively. Their co-efficients of linear expansion are $\alpha_A$ and $\alpha_B$ respectively. It is observed that the difference between their lengths remain constant at all temperatures. The ratio $L_A/L_B$ is given by

Two sound waves having frequencies 250 Hz and 256 Hz superimpose to produce beat wave. The resultant beat wave has intensity maximum at $t = 0$. After how much time an intensity will be minimum produced at the same point?

A source and listener are both moving towards each other with speed $\frac{V}{10}$. (where V is speed of sound) If the frequency of sound note emitted by the source is ' $n$ ', then the frequency heard by the listener would be nearly

A pipe 60 cm long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a 2.2 KHz source? (Speed of sound in air $= 330\text{ m/s})($ Neglect end correction)

Two uniform strings A and B made of steel are made to vibrate under the same tension. If first overtone of A is equal to the second overtone of $B$ and if the radius of $A$ is twice that of $B$, the ratio of the length of string $B$ to that of $A$ is

In a single slit diffraction experiment, for a wavelength of light ' $\lambda$ ', half-angular width of the principal maxima is ' $\theta$ '. Also for wavelength of light $p\lambda$, the half angular width of the principal maxima is $q\theta$. The ratio of the half-angular widths of the first secondary maxima in the first case to second case will be

In a double slit experiment, the distance between slits is increased 10 times, whereas their distance from screen is halved, the fringe width