MHT CET 2026 Physics Paper: 13 May, Shift 2

A step down transformer has $50$ turns on secondary and $1000$ turns on primary winding. If a transformer is connected to $220$ V and $1$ A a.c. source, what is the output current of the transformer?

In an a.c. circuit, if the power factor changes from $0.5$ to $0.25$ then the increase in impedance is

An inductance of negligible resistance, whose reactance is $120\ \Omega$ at $200$ Hz is connected to a $240$ V, $60$ Hz Power line. The current in the inductor is

An alternating voltage $V = 200\sqrt{2} \sin(100t)$ volt is connected to a $1\ \mu$F capacitor through an a.c. ammeter. The reading of the ammeter will be

When an electron in hydrogen atom revolves in a stationary orbit, it

A slab of material of dielectric constant $k$ has the same area as the plates of the parallel plate capacitor but has thickness $\frac{3d}{4}$, where $d$ is the separation of the plates. How is the capacitance changed, when the slab is inserted between the plates? ($C$ = original capacitance)

Figure shows a composite system of two uniform rods of length as shown. The co-ordinates of the centre of mass of the system of rods are

The difference between angular speed of minute hand and second hand of a clock is (in rad/s)

A current of $0.01$ A passes through the potentiometer wire of resistivity $10^{6}\ \Omega$ cm and area of cross- section $10^{-2}$ cm. The potential gradient is (in V/m)

The energy of a photon is equal to the kinetic energy of a proton. If $\lambda_1$ is the de-Broglie wavelength of a proton, $\lambda_2$ is the wavelength associated with the photon and if the energy of the photon is $E$ then $(\lambda_1/\lambda_2)$ is proportional to

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

A varying magnetic flux linking a coil is $\Phi = xt^{2}$. If at time $t = 3$ s, the e.m.f. induced is $9$V then the magnitude of $x$ is (in Wb$/\text{s}^{2}$)

A coil of wire of radius $r$ has $600$ turns and a self-inductance of $108$ mH. The self inductance of a coil with same radius and $500$ turns is

Charge $q_2$ of mass '$m$' revolves around a stationary charge $q_1$ in a circular orbit of radius '$r$'. The orbital periodic time of $q_2$ would be $\left(k = \frac{1}{4\pi\epsilon_0}\right)$

Three charges $2q, -q$ and $-q$ are located at the vertices of an equilateral triangle. At the centre of the triangle

Two charges of equal magnitude '$q$' are placed in air at a distance '$2a$' apart and third charge $-2q$ is placed at mid-point. The potential energy of the system is ($\epsilon_0$ = permittivity of free space)

When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressure is equal to the pressure of height $H$ of a certain water column then the depth of lake will be

The magnitude of gravitational field at distance $r_1$ and $r_2$ from the centre of a uniform sphere of radius $R$ and mass $M$ are $E_1$ and $E_2$ respectively. If $r_1 > R$ and $r_2 < R$, then the ratio $E_1/E_2$ is

Two hot bodies $B_1$ and $B_2$ have temperature $100^\circ$C and $80^\circ$C respectively at $t = 0$. The temperature of the surroundings is $40^\circ$C. The ratio of the respective rates of cooling $R_1$ and $R_2$ of these two bodies at $t = 0$ will be

If $150$ J of energy is incident on area $2\text{ m}^2$ and amount of heat reflected is $15$ J, coefficient of absorption is $0.6$ the amount of energy transmitted is

The radiation emitted by a star A is $10000$ times that of the sun. If surface temperature of sun and star A are $6000$ K and $2000$ K respectively, the ratio of radii of star A and sun is

A domain in a ferromagnetic substance is in the form of a cube of side '$L$'. If it contains '$N$' atoms and each atomic dipole moment $M$ then the magnetisation of the domain is

The magnitude of the magnetic field inside a long solenoid is increased by

Two circular coils $A$ and $B$ are made from the same wire but the radius of coil $A$ is twice that of coil $B$. What is the ratio of potential difference applied across them, so that the magnetic field at their centres is the same?

An ammeter has resistance $R$ and range $I$. What resistance should be connected in parallel with it to increase its range by $nI$?

Two radioactive substances $A$ and $B$ have decay constant $5\lambda$ 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

A wooden cube (density $d$) of side $L$ floats on a liquid of density $\rho$ with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs S.H.M. of period $T$. The value of $T$ is ($g$ = acceleration due to gravity)

The time period of a simple pendulum inside a stationary lift is $\sqrt{5}$ s. The time period when the lift moves upwards with an acceleration $\frac{g}{4}$ is ($g$ = acceleration due to gravity)

A spring has length $l$ and force constant $k$. It is cut into 2 springs of length $l_1$ and $l_2$ such that $l_1 = nl_2$ ($n$=an integer). The force constant of the spring of length $l_2$ is $\left(k \propto \frac{1}{l}\right)$

If two spheres are projected at angles $45^\circ$ and $60^\circ$ with horizontal and the maximum heights reached are same. The ratio of their initial velocities is ($\sin 45^\circ = \frac{1}{\sqrt{2}}, \sin 60^\circ = \frac{\sqrt{3}}{2}$)

How much water should be filled in a container of height $21$ cm, so that it appears half filled to the observer when viewed from the top of the container? ($\mu = 4/3$)

The ratio of radius of gyration of circular disc about a tangential axis in its plane and of a circular ring of the same radius about a tangential axis in its plane is

A thin wire of length $L$ and uniform linear mass density $\rho$ is bent into a circular loop with centre at '$O$' as shown in figure. The moment of inertia of the loop about the axis $XX'$ is

In an n-p-n transistor the collector current is $9$ mA. If $90\%$ of the electrons from the emitter reach the collector then

The following circuit is equivalent to

The forward biased diode connection is

The excess pressure inside a spherical drop of water is four times that of another drop. Their respective mass ratio is

What is the radius of the biggest aluminium coin of thickness $t$ and density $\rho$, which will be able to float on the water surface of surface tension $T$? ($g$ = acceleration due to gravity)

A balloon contains $500$ m$^{3}$ of He at $27^\circ$C and $1$ atmospheric pressure. Then, volume of He at $-3^\circ$C and $0.5$ atmospheric pressure will be

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio $C_p/C_v$ for the gas is

A monoatomic ideal gas, initially at temperature $T_1$ is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature $T_2$ by releasing the piston suddenly. If $L_1$ and $L_2$ be the lengths of the gas column before and after expansion respectively, then $\frac{T_1}{T_2}$ is

The resistance of a conductor is $R = V/I$ where voltage $V = 100 \pm 5$ V and current $I = 10 \pm 0.2$ A. The error in the calculation of $R$ is

The vector $\vec{P} = a\hat{i} + a\hat{j} + 3\hat{k}$ and $\vec{Q} = a\hat{i} - 2\hat{j} - \hat{k}$ are perpendicular to each other. Then positive value of '$a$' is

Two sirens situated one km apart are producing sound of frequency $330$ Hz. The observer starts moving from one siren to the other with a speed of $2$ m/s. If the speed of sound is $330$ m/s, What will be the beat frequency heard by the observer?

An organ pipe closed at one end has fundamental frequency of $1500$ Hz. The maximum number of overtones generated by this pipe a normal person can hear is (neglect end connection)

The path difference between two waves $Y_1 = a_1\sin\left(\omega t - \frac{2\pi x}{\lambda}\right)$ and $Y_2 = a_2\cos\left(\omega t - \frac{2\pi x}{\lambda} + \Phi\right)$ is

A spring of mass $0.2$ kg/m has length $l = 0.6$ m. It is fixed at both ends and stretched such that is has a tension $80$ N. The string vibrates in three segments with amplitude $0.5$ cm. The amplitude of transverse (particle) velocity is

In double slit experiment, the two slits are $1$ mm apart and the screen is placed $1$ m away. A monochromatic light of wavelength $500$ nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?

A double slit experiment is performed with light of wavelength $500$ nm. A thin film of thickness $2\ \mu$m and refractive index $1.5$ is introduced in the path of the upper beam. The location of the central maximum

Two coherent sources $P$ and $Q$ produce interference at a point $A$ on the screen where there is a dark band which is formed between $4$th bright band and $5$th bright band. Wavelength of light used is $6000$ Å. The path difference between $PA$ and $QA$ is $x \times 10^{-4}$ cm. The value of $x$ is