MHT CET 2026 11th April Morning Shift

An inductor of reactance $100$ $\Omega$, a capacitor of reactance $50$ $\Omega$, and a resistor of resistance $50$ $\Omega$ are connected in series with an AC source of $10$ V, $50$ Hz. Average power dissipated by the circuit is ____

In an AC circuit $E = 50 \sin(500 t)$, $I = 600 \sin\left(500 t + \dfrac{\pi}{3}\right) mA$. What is the power dissipated in the circuit? [$\cos 60^\circ = 0.5$]

In the circuit shown below, the ac source has voltage $V = 30 \cos(\omega t)$ volt with $\omega = 2000$ rad/s. What will be the amplitude of the current?

The kinetic energy of the electron in an orbit of radius $r$ in hydrogen atom is proportional to ($e$ = electronic charge)

The number of revolutions per second made by an electron in the first Bohr orbit of hydrogen atom is ($h$ = Planck's constant, $m$ is the mass of electron and $r$ is the radius of the orbit.)

A parallel plate capacitor has plate area $40 \text{ cm}^2$ and plates separation $2$ mm. The space between the plates is filled with a dielectric medium of a thickness $1$ mm and dielectric constant $5$. The capacitance of the system is

The position vector of a particle is $\vec{r} = a \cos \omega t \hat{i} + a \sin \omega t \hat{j}$. Calculate the angle between its position vector and the velocity vector.($\cos 0=1, \cos 90=0, \cos 60=0.5, \sin 30=0.5, \sin 0=0$)

In a metre bridge experiment the balance point is obtained if the gaps are closed by $2$ $\Omega$ and $3\Omega$. A shunt of $X$ $\Omega$ is added to $3$ $\Omega$ resistor to shift the balancing point by $22.5$ cm. The value of $X$ is

Photoelectric emission is observed from a metallic surface for frequencies $v_1$ and $v_2$ of the incident light rays ($v_1 > v_2$). If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of ...

A photon and an electron have equal energy E. The ratio of $\lambda$(electron) to $\lambda$(photon) is proportional to

A square loop of area $25 \text{ cm}^2$ has a resistance of $10$ $\Omega$. The loop is placed in uniform magnetic field of magnitude $40$ T. The plane of the loop is perpendicular to the magnetic field. The work done in pulling the loop out...

A long rectangular conducting loop of width '$l$' mass '$m$' and resistance '$R$' is placed partly in a perpendicular magnetic field '$B$'. With what velocity should it be pushed downwards so that it may continue to fall without any acceler...

The following figure represents two bulbs $B_1$ and $B_2$, resistor R and an inductor L. When the switch S is turned off, which of the following statement is true?

Which of the following statements is NOT TRUE?a. Work done to move a charge on an equipotential surface is not zero.b. Equipotential surfaces are the surfaces where the potential is constant.c. Equipotential surfaces for a uniform electric ...

Two metal sphere of radius $R$ and $3R$ have same surface charge density $\sigma$. If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere becomes $\sigma_1$ and $\sigma_2$, respectively. T...

Three charges $q$, $Q$ and $+4q$ are placed in a straight line of length $d$ at points at distance $0$, $\dfrac{d}{3}$, $\dfrac{2d}{3}$ respectively. In order to make the net force on $q$ be zero, the value of $Q$ should be

Following figure indicates the electric potential V as a function through 4 regions on x-axis. Which of the following is correct for the electric field E in these regions?

Two rain drops of same radius '$r$' falling with same terminal velocity '$V$' merge and form bigger drop of radius '$R$'. The terminal velocity of big drop is

A spherical ball of radius $1$ mm and density $10.5$ g/cc is dropped in glycerine of coefficient of viscosity $9.8$ poise and density $1.5$ g/cc. Viscous force on the ball when it attains constant velocity is $3696 \times 10^{-x}$ N. The va...

A vessel contains oil (density $= 0.8 \text{ gm}/\text{cm}^3$) over mercury (density $= 13.6 \text{ gm}/\text{cm}^3$). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the mat...

Given below are two statements:Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.Statement II: Acceleration due to earth's gravity is same at a height '$h$' and depths '$d$' from earth'...

Three identical heat conducting rods are connected in series as shown in the figure. The rods on the side have thermal conductivity $2K$ while that in the middle has thermal conductivity $K$. The left end of the combination is maintained at...

A wire of length $L$ and diameter $d$ is used in a bulb. The temperature of wire is $T$ and power radiated by the wire is $P$. Its emissivity is ($\sigma$ = Stefan's constant) (Assume that emissivity of wire material is same at all waveleng...

The energy spectrum of a black body exhibits a maximum of wavelength $\lambda_0$. The temperature of the black body is now changed such that the energy is maximum at wavelength $\dfrac{3\lambda_0}{2}$. The ratio of power radiated by the bla...

An ideal gas undergoes cyclic process ABCDA as shown in given p-V diagram. What is the magnitude of amount of work done by the gas?

Two samples A and B of gas initially at the same pressure and temperature. They are compressed from volume $V$ to $\dfrac{V}{2}$ (A isothermally and B adiabatically). The relation between pressure of the gas A ($P_A$) and pressure of gas B ...

A vessel has $6$ gram of hydrogen at pressure $P$ and temperature $500$ K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is $\dfrac{P}{2}$ and the temperature falls to $300$ K?

Which of the following figure best represents the variation of magnetic susceptibility ($\chi$) with temperature for a diamagnetic substance?

A car passes three points A, B and C at $3$ m/s, $6$ m/s and $9$ m/s respectively in a straight line with uniform acceleration. If distance $AB = 60$ m then find the distance BC.

A galvanometer has a current range of $10$ mA and a voltage range of $0.75$ V. To convert this galvanometer into an ammeter of range $10$ A, what is the shunt resistance?

A wire of length $L$ is bent in the form of a circular coil and current '$i$' is passed through it. This coil is kept in magnetic field. The torque acting on the coil will be maximum, when the number of turns is ___

Two long parallel wires carrying currents $8$A and $15$A in opposite directions are placed at a distance of $7$ cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are per...

For large magnifying power of a telescope

A wheel is rotating at $600$ rpm about its axis of rotation. When the power is cut off, it comes to rest in half a minute. Its angular retardation expressed in $\text{rad}/\text{s}^2$ is (retardation is uniform)

A flywheel rotating about a fixed axis has a kinetic energy of $500$ joule, if its angular frequency is $5$ Hz, then calculate the moment of inertia of the wheel about the axis of rotation. ($\pi^2=10$)

What does the following combination of gates produce?

In common emitter transistor amplifier, the output resistance is $500$ k$\Omega$ and the current gain $\beta = 50$. If power gain of amplifier is $5 \times 10^6$, what is the input resistance?

When the conductivity of a semiconductor is only due to breaking of covalent bonds, the semiconductor is called

Two massless springs of spring constants $K_1$ and $K_2$ are connected one after the other forming a single chain, suspended vertically and a certain mass is attached to the free end. If $x_1$ and $x_2$ are their respective extensions and '...

A particle executes simple harmonic motion between $x = -A$ and $x = +A$. If time taken by particle to go from $x = 0$ to $\dfrac{A}{2}$ is $2$s, then time taken by particle in going from $x = \dfrac{A}{2}$ to A is

There is a body having mass $m$ and performing SHM with amplitude '$a$'. There is a restoring force $F=-Kx$, where $x$ is the displacement. The total energy of the body depends upon which of the following?

The period of oscillation of a simple pendulum is given by $T = 2\pi \sqrt{\dfrac{l}{g}}$ where $l$ is about $80$ cm and is known to have $0.1$ cm accuracy. The period is about $1.5$ s. The time of $50$ oscillations is measured by a stop wa...

A ray of light is incident of the surface of a glass plate at an angle of incidence equal to Brewster's angle $\Phi$. If $\mu$ denotes the refractive index of glass w.r.t. air, then what will be the angle between reflected and refracted ray...

Two polaroid A and B placed in such a way that the pass-axis of polaroid are perpendicular to each other. Now, another polaroid C is placed between A and B bisecting angle between them. If intensity of unpolarised light is $I_0$ then intens...

In a Young's double slit experiment, the intensities at two points, for the path difference $\dfrac{\lambda}{4}$ and $\dfrac{\lambda}{3}$ ($\lambda$ being the wavelength of light used) are $I_1$ and $I_2$ respectively. If $I_0$ denotes the ...

Two light waves amplitudes in the ratio $3:1$ produce interference. The ratio of the maximum to minimum intensity is

What is the effect of humidity on sound waves when humidity increases?

A tuning fork of frequency $n$ produces $x$ beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string, when a slight increase in tension produces lesser beats per second than before?

A string of length $0.5$ m and mass $10^{-3}$ kg is tightly clamped at its ends. The tension in the string is $0.8$ N. Identical wave pulses are produced at one end at equal intervals of time $\Delta t$. What is the minimum value of $\Delta...

A particle of mass $m$ is moving in a circular path of constant radius $r$ such that its centripetal acceleration $a_c$ is varying with time $t$ as, $a_c = k^2 r t^2$. The power delivered to the particle by the forces acting on it is ($K$ =...