MHT CET 2026 Physics Paper: 13 May, Shift 1

A transformer having efficiency $90\%$ is working on $200$ V and $3$ KW power supply. If the current in the secondary coil is $6$A, the voltage across the secondary coil and the current in the primary coil, respectively, are

For series LCR circuit, the current is observed to lead the applied voltage. An additional capacitor $C_1$ when joined with capacitor C, makes the power factor of the circuit unity. The capacitor $C_1$ must be connected in

What is the value of inductance L for which the current is maximum in series LCR circuit with $C = 10\ \mu$F and $\omega = 1000$/s?

In an LCR series circuit, a. c. voltage source is connected in series. When L is removed from the circuit, the phase difference between the voltage and the current is $\pi/3$. If instead C is removed, the phase difference is again $\pi/3$. The power factor of the circuit is $\left(\tan\frac{\pi}{3} = \sqrt{3}\right)$

Using Bohr's quantisation condition, what is the rotational kinetic energy in the second orbit for a diatomic molecule (I = moment of inertia of diatomic molecule, h = Planck's constant)

The ratio of minimum wavelengths of Lyman and Balmer series will be

Find the capacitance of the Parallel plate capacitor shown in the figure.

(A = area of each plate, $\varepsilon_0$ = permittivity of free space)

The real force F acting on particle of mass m performing circular motion acts along the radius of circle r and is directed forwards the centre of the circle. The magnitude of square root of such a force is (T = periodic time)

In a potentiometer, the null point is obtained on $7^{th}$ wire. What should we do to change the null point on $9^{th}$ wire by keeping all other quantities same?

The resistances in two arms of the metre bridge are $5\ \Omega$ and $R\ \Omega$ respectively, null point is obtained at length $l_1$. When the resistance R is shunted with an equal resistance, the new balance point is at $1.6 l_1$. The resistance R is

The frequency of the incident light falling on a photosensitive metal plate is doubled, the kinetic energy of the emitted photoelectrons is

A parallel beam of light is incident normally on a plane surface absorbing $40\%$ of light and reflecting the rest. If the incident beam carries $60$ W of power the force exerted by it on the surface is (C = velocity of light = $3 \times 10^{8}$ m/s)

A circular ring of diameter $20$ cm has a resistance of $0.01\ \Omega$. The charge that will flow through the ring, if it is turned from a position perpendicular to a uniform magnetic field of $2$T to a position parallel to the field is (in coulomb) ($\because \cos 0^\circ = 1,\ \cos 90^\circ = 0$)

An air cored coil has a self inductance of $0.1$ H. A soft iron core of relative permeability $1000$ is $\text{th}$

introduced inside cored coil and number of turns reduced to $\left(\frac{1}{10}\right)$. The value of self inductance now becomes

Two point charges, $+2C$ and $+6C$ repel each other with a force of $12$N. If a charge of $(-4C)$ is given to each of these charges, the force now is

If $100$ J of work has to be done in moving an electric charge of $4$ C from a place, where potential is $-10$ V to another place where potential is V volt. The value of V is

Three point charges $+q, -2q$ and $-2q$ are placed at the vertices of an equilateral triangle of side a. The work done by some external force to increase their separation to '$2a$' will be $\left(K = \frac{1}{4\pi\varepsilon_0}\right)$

If mean radius of earth is 'R', its angular velocity is '$\omega$' and acceleration due to gravity at the surface of the earth is 'g' then the cube of the radius of the orbit of geostationary satellite will be

Two rods A and B are of equal lengths. Their ends are kept between the same temperatures and their area cross-sections are $A_1$ and $A_2$, thermal conductivities are $K_1$ and $K_2$. The rate of heat transmission in the two rods will be equal if

Heat energy is incident on the surface at the rate of $1000$ J/min. If coefficient of absorption is $0.8$ and coefficient of reflection is $0.1$ then heat energy transmitted by the surface in 5 minute is

The total radiant energy per unit area normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature 'T' K is ($\sigma$ = Stefan's constant)

At what temperature, the kinetic energy of a gas molecule is half of the value at $27^\circ$C?

An iron rod is placed parallel to magnetic field of intensity H. The magnetic flux through the rod is $\Phi$ and its cross-sectional area is A. The magnetic permeability ($\mu$) of the rod is

Six very long insulated copper wires are bound together to form a cable. The currents carried by the wires are $i_1 = 10$A, $i_2 = -13$A, $i_3 = 10$A, $i_4 = 7$A, $i_5 = -12$A and $i_6 = 18$ A. The magnetic induction at a perpendicular distance of $10$ cm from the cable is $(\mu_0 = 4\pi \times 10^{-7}$ SI units$)$

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

A particle oscillates simple harmonically along a straight line with period $8$ s and amplitude $8\sqrt{2}$ m. It starts from mean position then the ratio of the distances travelled by it in the $2^{nd}$ second and the first second of its motion is $\left(\sin 45^\circ = \frac{1}{\sqrt{2}}\right)\ (\sin 90^\circ = 1)$

$S_1$ and $S_2$ are two identical springs. The frequency of oscillation of mass m is F. If one spring is removed, the frequency will become

A body has time period $T_1$ under the action of one force and $T_2$ under the action of another force. The square of the time period when both the forces are acting in the same direction is

A particle is projected from ground with speed u and at an angle $\theta$ with horizontal. If at maximum height from ground, the speed of a particle is half times its initial velocity of projection then its maximum height attained is $(\cos 60^\circ = 0.5,\ \sin 60^\circ = \sqrt{3}/2)$ (g = acceleration due to gravity)

Three immiscible transparent liquids with refractive indices $\frac{3}{2},\ \frac{4}{3}$ and $\frac{6}{5}$ are arranged one above the other. The depths of the liquids are 3 cm, 4 cm and 6 cm respectively. The apparent depth of the vessel is

The moment of inertia of two equal masses each of mass m at separation L connected by a rod of mass M about an axis passing through centre and perpendicular to the length of rod is

Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is I. If the same rod is bent in to a ring and its moment of inertia about its diameter is $I_1$, then the ratio $I/I_1$ is

There is no hole current in good conductors because they

An n-p-n transistor can be considered to be equivalent to two diodes connected. Which one of the following figure is correct?

In common emitter amplifier, using output resistance $5000\,\Omega$ and input resistance $2000\,\Omega$, if the peak value of input signal voltage is $10$ mV and $\beta = 50$, then peak value of output voltage is

When one end of a capillary tube is dipped in water, water rises to a height h. The upward force of $105$ dyne due to surface tension is balanced by the force due to weight of water column. The inner circumference of the capillary is (surface tension of water = $7 \times 10^{-2}$ N/m)

When a big drop of water is formed from n small drops of water, the energy loss is 3E, where E is the energy of the big drop. If R is the radius of big drop and r is the radius of the smaller drop then number of smaller drops n is

Out of the following relations which one is true in the case of an adiabatic process, where $\gamma = C_p/C_v$?

Six moles of oxygen gas is heated from $20^\circ$C to $35^\circ$C at constant volume. If specific heat capacity at constant pressure is $8$ cal mol$^{-1}$k $^{-1}$ and gas constant is $2$ cal mol$^{-1}$k $^{-1}$. The change in internal energy of the gas is

The percentage error in the measurement of mass and speed are $2\%$ and $3\%$ respectively. The maximum error in the estimation of kinetic energy is

Two solid spheres of same material but of mass M and 8M fall simultaneously on a viscous liquid and their terminal velocities are V and nV, then the value of n is

A whistle sends out 256 waves in a second. If the whistle approaches the observer with velocity $\left(\frac{1}{3}\right)^{rd}$ of the velocity of sound in air. The number of waves per second observer will receive is

The fundamental frequency of a closed pipe is $400$ Hz. If ${\frac{1}{3}}^{rd}$ pipe is filled with water then the frequency of $3^{rd}$ harmonic of the pipe will be (Neglect end correction)

Two points on a travelling wave having frequency $500$ Hz and velocity $300$ m/s are $60^\circ$ out of phase, then the minimum distance between the two points is

A stretched wire of length $110$ cm is divided in to 3 segments whose frequencies are in the ratio $1:2:3$. Their respective lengths must be

The ratio of intensity at the centre of a bright fringe to the intensity at a point distant $\left(\frac{1}{4}\right)^{th}$ of the distance between two successive bright fringes will be $(\cos 0^\circ = 1, \cos 90^\circ = 0)$

The wavelength of light used in Young's double slit experiment, is $\lambda$. The intensity at a point on the screen is I, where the path difference is $\frac{\lambda}{6}$. If $I_0$ is the maximum intensity then the ratio I to $I_0$ is $\left(\cos 30^\circ = \frac{\sqrt{3}}{2}\right)$

In Young's double slit experiment, the slit width is $1$ mm and screen is at a distance $2$ m from slits. Light of $600$ nm is used. If a thin glass plate of refractive index $1.5$ of thickness $0.06$ mm is placed over one of the slits then there will be a lateral displacement of the fringes by

A particle moves from position $3\hat{i} + 2\hat{j} - 6\hat{k}$ to $14\hat{i} + 13\hat{j} + 9\hat{k}$ due to uniform force of $(4\hat{i} + \hat{j} + 3\hat{k})$ N. If displacement is in metre then work done will be