MHT CET 2026 Physics Paper: 19 May, Shift 2

The output of step-down transformer is measured to be $36$ V when connected to $6$ W light bulb. The value of peak current is

A $40\ \mu$F capacitor is charged to $10$ volts of potential. The battery is disconnected, and a pure $100$ mH coil is connected across the capacitor so that LC oscillations are set up. Then, the maximum current in the coil is:

To reduce the resonant frequency in an L-C-R series circuit with a generator,

Four parallel plate capacitors are connected in parallel. Each capacitor has a plate area $\frac{A}{4}$ and the separation between the plates is $d, 2d, 3d$ and $4d$ respectively. The equivalent capacity of the combination is [$\varepsilon_0 =$ permittivity of free space]

In the circuit shown in the figure, the current through

In a potentiometer circuit when two cells of emf $1.6$ V and $1.3$ V are connected to assist each other, the balancing length is $290$ cm. What will be the balancing length in cm when these two cells are connected in opposition?

When a metallic surface is illuminated with radiation of wavelength $\lambda$, the stopping potential is $V$. If the surface is now illuminated with a radiation of wavelength $4\lambda$, the stopping potential $\left(\frac{V}{8}\right)$. The threshold wavelength for the surface is

Radiation of wavelength $\lambda$, is incident on a photocell. The fastest emitted electron has speed $v$. If the wavelength is changed to $\frac{3\lambda}{4}$, the speed of the fastest electron will be

Two inductors, $L_1$ and $L_2$ are connected in parallel and a time varying current flows as shown in the figure. The ratio of currents $\frac{I_2}{I_1}$ at any time, it is

Two coils of self inductance, $2$ mH and $8$ mH are placed so closed together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is,

Two conducting circular loops of radii $r_1$ and $r_2$ are placed in the same plane with their centres coinciding. If $r_1 \gg r_2$, then the mutual inductance $M$ between them is proportional to [$I_1 =$ current flowing through coil 1 and $I_2 =$ current flowing through coil 2]

A dipole of electric dipole moment $\vec{P}$ is placed in an electric field of strength $\vec{E}$. The angle between $\vec{P}$ and $\vec{E}$ for which the potential energy of the electric dipole is maximum, is

Two spheres A and B of radius $a$ and $b$ respectively are at the same electric potential. The ratio of the surface charge densities of A to that of B is

Three concentric metallic spherical shells of radii $R, 3R$ and $9R$ are given charges $Q_1, Q_2$ and $Q_3$, respectively. It is found that surface charge densities on the outer surfaces of the shells are equal. Then the ratio of charges given to shells $Q_1 : Q_2 : Q_3$, is (Neglect the induction effects)

In a hydraulic press, the piston in the small cylinder has a diameter of $d_1$ cm, while the larger piston has a diameter of $d_2$ cm. If a force $F_1$ is applied to the small piston, then the force $F_2$ on the large piston is given by

The minimum energy required to launch a satellite of mass $m$ from the surface of a planet of mass $M$ and radius $R$ in a circular orbit at an altitude of $3R$ is $\{G$ $=$ gravitational constant$\}$

The power radiated by a black body is $P$ and it radiates maximum energy at wavelength $\lambda_0$. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $0.75\lambda_0$, the power radiated by it becomes $nP$. The value $n$ is

Soft iron is used in making an electromagnet because

The minute hand of a wall-clock is $10$ cm long. The average velocity of the tip of the minute hand between $6.00$ am to $7.30$ am is

Consider a circular loop (radius $R$) carrying current $I$, the magnetic field produced by it at a point on the axis at a distance $z$ from the centre of the loop is $\frac{xR^2}{(z^2+R^2)^{3/2}}$. The value of $x$ is

The currents through two thin long parallel wires, A and B carrying $I$ and $\frac{I}{3}$ respectively, in the same direction. The distance between two wires is '$d$'. The magnitude of force per unit length exerted by wire A on wire B is

In an alpha decay, the daughter nucleus produced is itself unstable and undergoes further decay. If the number of parent and daughter nuclei at time $t$ are $N_p$ and $N_d$ respectively and their decay constants are $\lambda_p$ and $\lambda_d$ respectively. What condition needs to be satisfied in order for $N_d$ to remain constant?

A radioactive nucleus X with a half-life $T$, decays into a nucleus Y. At $t = 0$, there is no nucleus Y. After some time '$t$', the ratio of the number of Y to that of X is $0.4$. Then, '$t$' is

The total energy of a particle executing SHM is $E$. If the amplitude is doubled and the frequency is halved, the new total energy will be

A linear harmonic oscillator of force constant $2 \times 10^{6}$ N/m has amplitude $0.01$ m. Its

A simple pendulum consists of a hollow sphere filled with mercury. As the mercury begins to leak out slowly through a small hole at the bottom, the time period of the pendulum will

An observer looks at a distant tree of height $10$ m with a telescope of magnifying power of $20$. To the observer, the tree appears

A ray of light is incident at a glass-water interface at an angle $(i_1)$, it emerges finally parallel to the surface of water, then the value of the refractive index of glass $(\mu_g)$ is

$\{\mu_w =$ refractive index of water $= 4/3, \sin(90)^\circ = 1, \cos(90)^\circ = 0\}$

The minimum refractive index of the material of a right-angled isosceles prism as shown in the following figure is

A ring of mass $M$ and radius $R$ is rotating with angular speed $\omega$ about a fixed vertical axis passing through its centre $O$ with two point masses each of mass $\frac{M}{8}$ at rest at $O$. These masses can move radially outwards along two mass-less rods fixed on the ring as shown in figure. At some instant the angular speed of the system is $\frac{8\omega}{9}$ and one of the masses is at a distance of $\frac{3}{5}R$ from point $O$. At this instant, the distance of the other mass from point $O$ is

Three rings each of mass $M$ and radius $R$ are arranged as shown in the figure. The moment of inertia of a system about axis $YY'$ will be

A uniform rod of length $l$ is free to rotate in a vertical plane about a fixed horizontal axis through point B. The rod begins rotating from rest, from its unstable equilibrium position. The angular velocity $\omega$, when it has turned through an angle $\theta$, is

In the energy band diagram of a p-type semiconductor, the "Acceptor Energy Level" is located

For the logic circuit given below, for

a) input $A = 0$ and input $B = 1$, and

b) input $A = 1$ and input $B = 1$, the output $E$ is respectively

To use Zener diode of maximum power rating $1.0$ W as a $4.0$ V stabilized power supply, the maximum current flowing through Zener diode will

Which of the following is NOT TRUE?

a. When soluble substance is dissolved in water, the surface tension of water increases. b. When sparingly soluble substance is mixed with water, surface tension of water increases. c. When insoluble impurity is added into the water, surface tension of water decreases. d. In case of molten copper or molten cadmium, the surface tension increases with increase in its temperature.

A Carnot engine has an efficiency of $30\%$. The energy is supplied to the engine at the rate of $3$ kW. The output power of the engine is

One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in the figure. The process BC is adiabatic. The temperatures at A, B and C are $400$ K, $800$ K and $600$ K, respectively. The correct statement is

Heat is supplied to a rigid diatomic gas at constant pressure. The ratio of $\Delta Q : \Delta U : \Delta W$ is $\{\Delta Q =$ heat supplied$, \Delta U =$ change in internal energy $, \Delta W =$ work done during expansion$\}$

Two identical containers A and B with friction-less pistons contain the same ideal gas at the same temperature and the same volume, $V$. The mass of gas in A is $m_A$ and that in B is $m_B$. The gas in each cylinder is now allowed to expand isothermally to the same final volume $2V$. The changes in pressure in A and B are found to be $\Delta p$ and $3\Delta p$ respectively. Then

A lead bullet moving with velocity '$v$' strikes a wall and stops. $75\%$ of its energy is converted into heat. If the increase in the temperature is $\frac{v^2}{nJs}$, then the value of $n$ is

$\{s =$ specific heat of lead$, J =$ mechanical equivalent of heat$\}$

A wire has mass $(0.4 \pm 0.002)$ g, radius $(0.6 \pm 0.006)$ mm and length $(8 \pm 0.04)$ cm. The percentage error in the measurement of its density is

A vector $\vec{A}$ of magnitude $7\sqrt{2}$ unit, another vector $\vec{B}$ of magnitude $14$ unit are inclined at an angle of $60^\circ$. The magnitude of the scalar product $(\vec{A} \cdot \vec{B})$ is $\left[\cos(60)^\circ = \frac{1}{2}\right]$

A tiny water droplet falls through the air at a uniform terminal speed of $1$ cm/s. If $27$ such identical droplets coalesce to form a single larger drop, what will be the new terminal velocity of the resulting drop, assuming the air remains the same?

A set of $8$ tuning forks is arranged in ascending order of frequencies. Each fork produces $4$ beats with the next one and frequency of last fork is octave of first. The frequency of $5$th fork is

A pipe open at both ends has a frequency $f$ in air. The pipe is dipped vertically in water, so that its $(1/3)$ part of its length is in water. The fundamental frequency of the air column is now $xf$, the value of $x$ is

A man standing between two parallel cliffs fires a gun. He hear two echos one after $3$ second and the other after $5$ second. The separation between the two cliffs is $1360$ m, the speed of sound is

A sonometer wire resonates with a given tuning fork, forming standing waves with five antinodes between the two bridges, when a mass of $9$ kg is suspended from the wire. When this mass is replaced by mass $M$, the wire resonates with the same tuning fork, forming three antinodes for the same positions of the bridges. The value of $M$ (in kg) is

In Young's double slit experiment, the separation between the slits is decreased to $\left(\frac{1}{3}\right)^{th}$ of its original distance and the distance between the slits and the screen is doubled. The fringe width

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time $t$ is proportional to