MHT CET 2026 Physics Paper: 12 May, Shift 2

A capacitor of $10\ \mu F$ has reactance $2 \times 10^{-3}\ \Omega$. The corresponding frequency is

An inductor of self inductance $1$H connected in series with a resistor of $100\pi\ \Omega$ and an a.c. supply of $100\pi$V, $50$ Hz. Maximum current flowing in the circuit in ampere is

In the given circuit, r.m.s. value of current through the resistor $R$ is

Assuming the atom is in the ground state, the expression for the magnetic field at a point nucleus in hydrogen atom due to circular motion of electron is ($\mu_0$ = permeability of free space, $\epsilon_0$ = permittivity of free space, $m$ = mass of electron, $e$ = electronic charge)

In Bohr's theory of hydrogen atom, in any series of spectral lines, wavelength of first line and corresponding series limit is respectively

A capacitor of unknown capacitance is connected across a battery of $'V'$ volt. The charge stored in it is $'Q'$ C. When potential across the capacitor is reduced by $'V_1'$ volt, the charge stored in it becomes $'Q_1'$ C. The potential $'V'$ is

What will be the charge on any one of the $4\ \mu\text{F}$ capacitors and $2\ \mu\text{F}$ capacitor in $\mu\text{C}$?

A capacitor of capacity $5\ \mu\text{F}$ is charged by a battery of e.m.f. $10$ V. At an instant, the potential difference across the capacitor is $4$ V and the time rate of change of potential difference across the capacitor is $0.6$ V/s. Then the time rate at which energy is stored in the capacitor at that instant is

To determine the internal resistance of a cell by using a potentiometer, the null point is obtained at $1$m when cell is shunted by $3\ \Omega$ resistance and at $1.5$m length when cell is shunted by $6\ \Omega$ resistance. The internal resistance of the cell is

The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at temperatures $27^\circ C$ and $127^\circ C$ respectively is ($m_{He} = 2m_{H_2}$)

An electromagnetic wave of wavelength $\lambda$ is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted from this surface have de-Broglie wavelength $\lambda_1$, then

An induced current of $2$A flows through a coil. The resistance of the coil is $10\ \Omega$. What is the change in magnetic flux associated with a coil in $1$ ms?

The coil of area $0.1$ m$^{2}$ has $1000$ turns. It is placed in a magnetic field of strength $5 \times 10^{-4}$ T. The average e.m.f. induced in the coil, if rotated through $180^\circ$ in $0.1$ s is ($\cos 0^\circ = 1, \cos 180^\circ = -1$)

A closed coil consists of $500$ turns on a rectangular frame of area $4.0$ cm$^{2}$ and has a resistance of $50\ \Omega$. The coil is kept with its plane perpendicular to a uniform magnetic field of $0.2$ T. The amount of charge flowing through the coil if it is turned through $180^\circ$ will be $1.6 \times 10^{-x}$ C. The Value of $x$ is

A spherical conductor of diameter $3$ mm is kept in a uniform electric field of intensity $4 \times 10^{7}$ N/C. The maximum charge on the conductor is $\left(\frac{1}{4\pi\epsilon_0} = 9 \times 10^{9}\text{ SI units}\right)$

A water tank of height $\text{'}h\text{'}$ has a hole at the bottom. It is completely filled with water. The total pressure at the bottom is $4H$ and atmospheric pressure is $H$. The velocity of water flowing out of the hole is ($\rho$ = density of water)

A body is projected vertically upwards from earth's surface. If its kinetic energy of projection is equal to half of its minimum value required to escape from the gravitational influence then the height up to which it rises is ($R$ = radius of earth)

A rectangular black body of temperature $27^\circ\text{C}$ has surface area $6$ cm $\times 3$ cm and rate of radiation $E$. If its temperature is increased by $300^\circ\text{C}$ and its linear dimensions are reduced to $\left(\frac{1}{3}\right)^{rd}$ of their initial value then the rate of radiation is

At $27^\circ\text{C}$ temperature, the mean kinetic energy of the atoms of an ideal gas is $E_1$. If the temperature is increased by $300^\circ\text{C}$ then the mean kinetic energy of the atoms will be

A block of mass $1$ kg is kept on ice surface. When velocity of $4$ m/s is given to it, it stops by friction in $5$ second. The coefficient of friction is (acceleration due to gravity, $g = 10$ m/s${}^{2}$)

The relation between total magnetic field $(B)$, magnetic intensity $(H)$, permeability of free space $(\mu_0)$ and susceptibility $(\chi)$ is

Choose the WRONG Statement from the following statements.

(A) A toroid is a solenoid bent in the form of a closed ring.

(B) The magnetic field lines of solenoid are straight lines parallel to the axis inside the solenoid. (C) The magnetic field lines of toroid are circular having common centre.

(D) Inside a solenoid, magnetic field may be made strong by passing small current and using laminated coil of soft iron.

Two parallel wires of equal lengths are separated by a distance of $3$ m from each other. The currents flowing through first and second wire is $3$A and $4.5$A respectively in opposite directions. The resultant magnetic field at mid point of both the wires is ($\mu_0$ = permeability of free space)

When current $I$ is passed through galvanometer coil, it is deflected through $16^\circ$. But when it is shunted by a resistance of $8\ \Omega$, the same current produces a deflection of $4^\circ$. The resistance of the galvanometer is

A ball released from height $(h)$ which makes perfectly elastic collision with ground. The frequency of periodic vibratory motion is ($g$ = acceleration due to gravity)

If length of oscillating simple pendulum is made $\left(\frac{1}{3}\right)$ times at a place keeping amplitude same then its total energy will be

A simple pendulum of length $L$ and mass of the bob $m$ is oscillating with amplitude $A$. The maximum tension in the string is ($g$ = acceleration due to gravity)

A spring produces extension $'x'$ by applying a force $'F'$ N. A body of mass $'m'$ suspended from spring oscillates vertically with period $'T'$. The mass of the suspended body is (Neglect mass of spring)

A convex lens of focal length $F$ produces a real image $'n'$ times the size of the object. The image distance is

Two loops $A$ and $B$ of radii $R_1$ and $R_2$ are made from uniform wire. If moment of inertia of loops $A$ and $B$ is $I_A$ and $I_B$ respectively then $\frac{R_1}{R_2}$ is (Given: $\frac{I_A}{I_B} = 27$)

A disc of mass $100$ kg and radius $1$m is rotating at $300$ r.p.m. The torque required to rotate the disc in opposite direction with same speed in time $50$ second is

Two bodies rotate with kinetic energies $E_1$ and $E_2$, moment of inertia about their axes of rotation is $I_1$ and $I_2$. If $3I_1 = I_2$ and $E_1 = 27E_2$ then the ratio of the angular momenta $L_1$ to $L_2$ is

Pure silicon crystal at $300$K has equal electron and hole concentration $2 \times 10^{16}$ per m${}^{3}$. Doping by indium increases hole concentration to $4 \times 10^{22}$ per m${}^{3}$. Electron concentration in doped silicon is

The output $Y$ of the given logic circuit is similar to the output of

The circuit shown contains two ideal diodes $D_1$ and $D_2$. If a cell of e.m.f. $3$V and negligible internal resistance is connected, then the current through $70\ \Omega$ resistance in ampere is

The height of the liquid column raised in a capillary tube of certain radius when dipped in liquid $A$ vertically is $5$ cm. If the same tube is dipped in similar way in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ is (Assume that angle of contact for both the liquids is almost same)

An ideal gas heat engine operate in Carnot cycle between $327^\circ\text{C}$ and $227^\circ\text{C}$. It absorbs $6 \times 10^{4}$ cal of heat at higher temperature. How much is the amount of heat converted in to work?

The ratio of $C_p$ to $C_v$ for a non-rigid diatomic gas is

A monoatomic gas undergoes adiabatic change. Its pressure $P$ and temperature $T$ are related as $P \propto T^{x}$ where $x$ is

What is the change in volume of an iron sphere of volume $400$ cm$^3$, when it is heated from $0^\circ\text{C}$ to $50^\circ\text{C}$? ($\alpha_{\text{iron}} = 12 \times 10^{-6}/^\circ\text{C}$)

A quantity $Q$ is formulated $X^{-2}Y^{+\frac{3}{2}}Z^{-\frac{2}{5}}.\ X,\ Y$ and $Z$ are independent parameters which have fractional errors of $0.1,\ 0.2$ and $0.5$ respectively in measurement. The maximum fractional error of $Q$ is

The resultant of two vectors $\vec{A}$ and $\vec{B}$ is $\vec{C}$. If the magnitude of $\vec{B}$ is doubled, the new resultant vector becomes perpendicular to $\vec{A}$. Then the magnitude of $\vec{C}$ is

$'n'$ small drops of water having same size fall through air with constant velocity $4$ cm/s. They coalesce to form a big drop. The terminal velocity of the big drop is

The third overtone of a closed organ pipe is in unison with $3^{rd}$ overtone of an open pipe. The ratio of length of closed to open pipe is

The equation of a wave travelling on a string is $Y = \sin(20\pi x + 10\pi t)$, where $x$ and $t$ are distance and time in SI units. The minimum distance between two points having the same oscillating speed is

In sonometer experiment, the string of length $'L'$ under tension vibrates in second overtone between the two bridges. The amplitude of vibration is maximum at length

A sonometer wire resonates with a given tuning fork forming standing wave with $5$ antinodes between two bridges when mass of $9$ kg is suspended from the wire. When mass $M$ is suspended from the wire with same fork and same length between two bridges, $3$ antinodes are formed. Mass $M$ is

Two plane polarised light waves combine at a certain point whose electric field components are $E_1 = E_0 \sin \omega t$ and $E_2 = E_0 \sin(\omega t + \pi/3)$. The amplitude of the resultant wave is ($\cos 60^\circ = 0.5$)

A Parallel beam of monochromatic light is incident on a plane reflecting surface. If width of the plane incident and reflected plane wavefront is represented by $AB$ and $CD$ respectively then

A double slit experiment is immersed in water of refractive index $1.33$. The slit separation is $1$ mm, distance between slit and screen is $1.33$ m. The slits are illuminated by a light of wavelength $6300$ \AA. The fringewidth is $x \times 10^{-4}\text{ m}$. The value of $'x'$ is