MHT CET 2026 11th April Evening Shift

A light bulb connected in series with a capacitor and an a.c.source is glowing with certain brightness. On reducing the value of capacitance and frequency respectively, the brightness of the bulb

In an a.c. circuit containing L, C and R in series, the ratio of apparent power to the true power is(Z= impedance of the circuit and R= resistance )

In series LCR circuit, resistance is $18\ \Omega$ and impedance $33\ \Omega$. An r.m.s. Voltage of $220$ V is applied across the circuit. The true power consumed in a c. circuit is

An ideal transformer converts $220$V a.c. to $3.3$ KV a.c. to transmit a power of $4.4$ KW. If primary coil has $600$ turns then alternating current in the secondary coil is

Bohr model is applied to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a transverse magnetic field B. The energy of the charged particle in the $n^{th}$ level will be (h=Planck's constant)

In Bohr's theory of hydrogen atom, 'r' is the radius of the orbit, 'V' is the speed of electron and E is the total energy of the electron. Out of the following which physical quantity is inversely proportional to principal quantum number?

The earth is assumed to be a charged conducting sphere having volume 'V' and surface area 'A'. The capacitance of the earth in free space is ($\epsilon_0$ = permittivity of free space)

Initially, 'n' identical capacitors are joined in parallel, are charged to potential 'V'. Now they are separated and joined in series. Then

Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area A/3 and separation between the plates is d, 2d and 3d respectively. The equivalent capacity of the combination is ($\epsilon_0$-permittivity of fre...

A mass M moving with velocity V along X-axis collides and sticks to another mass 2M which is moving along Y-axis with velocity 3V. The velocity of the combination, after the collision is

The angular speed of the minute hand of a clock in degrees per second is

In non uniform circular motion, the ratio of radial acceleration to tangential acceleration is (V is the velocity, r is the radius and $\alpha$ is the angular acceleration)

In potentiometer experiment, null point is obtained at a particular point for a cell on potentiometer wire 'x' cm long. If length of potentiometer wire is increased by few cm without changing the cell, the balancing length will (Driving sou...

In the following network, the current flowing through $15\ \Omega$ resistance is

Photoelectrons are emitted from two similar metal plates when wavelengths $\lambda_1$ and $\lambda_2$ are incident on them ($\lambda_1 = 1.5\lambda_2$). If maximum kinetic energy of emitted photoelectrons is $E_1$ and $E_2$ respectively the...

According to de-Broglie hypothesis, the ratio of the wave-length of a photon and that of an electron having same energy 'E' is (m = mass of electron, c = velocity of light)

A coil having 'n' turns and resistance 'R' is connected with a galvanometer of resistance '2R'. This combination is moved in time 't' from flux $\phi_1$ to $\phi_2$ Wb. The induced current in the circuit is

Alternating current of peak value $\left(\dfrac{2}{\pi}\right)$ A flows through the primary coil of a transformer. The coefficient of mutual inductance between primary and secondary coils is $1$ H. The peak em.f. induced in secondary coil i...

If the radius of the spherical Gaussian surface is increased then the electric flux due to a point charge enclosed by the surface

A liquid drop having surface energy E is sprayed into $512$ droplets of the same size. Then the final surface energy is

In a capillary tube of radius 'R', a straight thin metal wire of radius 'r' is inserted symmetrically and one end of the combination is dipped vertically in water such that lower end of the capillary and thin wire are at same level. If 'T' ...

Due to surface tension, the excess pressure inside a smaller drop is $9$ units. If $27$ smaller drops combine then excess pressure inside the bigger drop is

The density of a planet is three times that of earth and radius $2.5$ times that of earth. If $g_p$ and $g_e$ represents acceleration due to gravity on planet and earth respectively then ratio $g_p$ to $g_e$ is

A body cools in $7$ minutes from $60^\circ$C to $40^\circ$C. What time (in minutes) does it take to cool from $40^\circ$C to $28^\circ$C, if its surrounding temperature is $10^\circ$C ? (Newton's law of cooling holds good)

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

If $\Delta Q$ is the amount of heat supplied to 'n' moles of a rigid diatomic gas at constant pressure, $\Delta U$ is the change in internal energy and $\Delta W$ is the work done then $\Delta W : \Delta U : \Delta Q$ is

An insulated container contains a monoatomic gas of molar mass 'm'. The container is moving with velocity 'V'. If it is stopped suddenly, the change in temperature of the gas is (R-gas constant)

Carnot engine operating between temperatures $T_1$ and $T_2$ has efficiency $0.2$. When $T_2$ is lowered by $45$ K, its efficiency becomes $0.5$. Temperatures $T_1$ and $T_2$ are respectively

For a gas, $\dfrac{R}{C_v} = 0.4$ where R is the universal gas constant and $C_v$ is the molar specific heat at constant volume. The gas is made up of molecules which are

A circular coil of N turns and diameter D carries current I. It is unwound and rewound to make another coil of diameter 2D, current I remaining the same. The ratio of magnetic moments of the original coil to the new coil is

A wire AB is carrying steady current $I_1$ and is kept on the table. Another wire CD carrying current $I_2$ is held directly above as shown in figure. When the wire CD is left free and it remains suspended at its position, its mass per unit...

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...

A thin prism in air produces the angle of minimum deviation $\delta$. If the prism is immersed in water, the angle of minimum deviation for the same ray is (refractive index of water is $4/3$ and that of glass prism is $3/2$)

The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is I. It is rotating with angular velocity $\omega$. Another identical ring is gently placed on it so that their centres coincide. If bo...

Let M and L be the mass and length of thin uniform rod respectively. In first case, axis of rotation is passing through centre and perpendicular to length of rod. In second case axis of rotation is passing through one end and perpendicular ...

In common emitter mode of transistor, the d.c. current gain is $20$, the emitter current is $7$ mA. The collector current is

In the case of NAND gate, if A and B are inputs and Y is the output then

In energy band diagram of insulators, a band gap and the conduction band is respectively

An oscillating pendulum suspended from the roof of a lift which is at rest has time period $T_1$. When lift moves up with acceleration 'a' its time period is $T_2$. When lift moves down with acceleration 'a' its time period is $T_3$. The re...

A mass $0.4$ kg performs S.H.M. with a frequency $\dfrac{16}{\pi}$ Hz. At a certain displacement it has kinetic energy $2$ J and potential energy $1.2$ J. The amplitude of oscillation is

A mass attached to a spring performs S.H.M. whose displacement is $x = 3 \times 10^{-3} \cos 2\pi t$ m. The time taken to obtain maximum speed for the first time is (in s)

A quantity P is related as $X^{-2}Y^{-3/2}Z^{2/5}$ where X,Y,Z are independent parameters which have fractional errors of $0.1, 0.2$ and $0.5$ respectively in measurement. The maximum fractional error in P is

The vectors $(\vec{A} + \vec{B})$ and $(\vec{A} - \vec{B})$ are perpendicular to each other. This is possible under the condition

In biprism experiment, the $4^{th}$ dark band is formed opposite to one of the slits. The wavelength of light used is (D=distance between source and screen, d= the distance between the slits)

In Young's double slit experiment, in an interference pattern, a minimum is observed exactly in front of one slit. The distance between the two coherent sources is 'd' and 'D' is the distance between source and screen. The possible waveleng...

Converging lens of telescope $5$ cm in diameter has focal length $25$ cm. In the focal plane of the lens the distance between the centres of the Fraunhofer diffraction pattern is (wavelength of light used = $5000$ Å, Rayleigh's criterion is...

The closed and open organ pipe have same length and when they are vibrating simultaneously in first overtone produce $3$ beats. The length of open pipe is made $\left(\dfrac{1}{3}\right)^{rd}$ and closed pipe is made $3$ times the original,...

Two uniform wires of same material are vibrating under the same tension. If the first overtone of the first wire is equal to the second overtone of the second wire and radius of first wire is twice the radius of second wire then the ratio o...

The equation of a progressive wave is $Y = 3 \sin \left[\pi\left(\dfrac{t}{3} - \dfrac{x}{5}\right) + \dfrac{\pi}{4}\right]$ where X and Y are in metre and time in second. Which of the following is correct?

A source of sound is moving towards a stationary observer with velocity '$V_S$' and then moves away with velocity '$V_S$'. Assume that medium through which the sound waves travel is at rest. If 'V' is the velocity of sound and 'n' is the fr...