MHT CET 2026 Physics Paper: 14 May, Shift 2

An alternating voltage is $E = 100 \sin\left(\omega t + \frac{\pi}{6}\right)$ V. The voltage will be maximum for the first time when t is

$\left(\sin \frac{\pi}{2} = 1\right)$ (T = Periodic time)

A current of $5$ A is flowing at $220$ V in the primary coil of a transformer. If the voltage produced in the secondary coil is $2200$ V and $50\%$ of power is lost, then the current in secondary will be

A $10\ \mu$F capacitor is charged to $25$ V of potential. The battery is then disconnected and a pure $100$ mH coil is connected across the capacitor so that L-C oscillations are set up. The maximum current in the coil is

An arc lamp requires a direct current of $10$ A at $90$ V to function. If it is connected to $220$ V (rms), $50$ Hz a.c. supply, the series inductor needed for it to work is nearly

In hydrogenth atom, an electron jumps from higher orbit to lower orbit so that radius of the lower orbit is $\left(\frac{1}{4}\right)$ of radius of higher orbit. If speed of electron in higher orbit was V, then speed in lower orbit is

If $\lambda_1$ and $\lambda_2$ are the wavelengths of the first members of the Lyman and Paschen series respectively then $\lambda_1 : \lambda_2$ is

A capacitor of $20\ \mu$F is charged up to $500$ V is connected in parallel with another capacitor of $10\ \mu$F which is charged up to $200$ V. Then, the common potential will be

A stone of mass m is tied to a string and is moved in a vertical circle of radius r making 'n' r.p.m. The total tension in the string when the stone is at the lowest point is ($g$ = acceleration due to gravity)

In balanced meter bridge, the resistance of bridge wire is $0.1\ \Omega/$cm. Unknown resistance $X$ is connected in the left gap and $6\ \Omega$ in right gap. Null point divides the wire in the ratio $2 : 3$. The current drawn from the battery of $5$V having negligible resistance is

When photons of energy $h\nu$ fall on a metal plate of work function $W_0$, photoelectrons of maximum kinetic energy K are ejected. If the frequency of radiation is doubled, the maximum kinetic energy of ejected photoelectrons will be

Energy of the incident photon on the metal surface is $3W$ and then $5W$, where $W$ is the work function of that metal. The ratio of velocities of emitted photoelectrons is

A square of side L metre lies in the XY plane in a region, where the magnetic field is $\vec{B} = B_0\,(2\hat{i} + 3\hat{j} + 4\hat{k})$, where $B_0$ constant. The magnitude of flux passing through the square is

The self induced e.m.f. of a coil is $25$ V. When the current in it is changed at uniform rate from $10$ A to $25$ A in $1$ s, the change in the energy of the inductance is

Two particles of charges $q_1 = 8q$ and $q_2 = -2q$ are placed as shown in figure. At what point away from $q_2$ on x-axis can a proton be placed placed so that it is in equilibrium?

An infinite line charge produces a field of $9 \times 10^{8}$ N/C at a distance of $2$ cm. The linear charge density is

$\left(\frac{1}{4\pi\varepsilon_0} = 9 \times 10^{9}\right.$ SI unit$\left.\right)$

The electric field intensity at a point near and outside the surface of a charged conductor of any shape is $E_1$. The electric field intensity due to a uniformly charged infinite thin plane sheet having the same surface charge density is $E_2$. The relation between $E_1$ and $E_2$ is

In air, a charged soap bubble of radius R breaks in to 27 small soap bubbles of equal radii r. Then the ratio of mechanical force acting per unit area of big soap bubble to that of a small soap bubble is

The magnitude of gravitational field at distances $r_1$ and $r_2$ from the centre of a uniform sphere of radius R and mass M are $I_1$ and $I_2$ respectively. Given that $r_1 >$ $R$ and $r_2 <$ $R$, the ratio $\frac{I_1}{I_2}$ is

The power radiated by a black body is P and it radiates maximum energy at wavelength $\lambda_0$. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $\frac{3\lambda_0}{4}$, the power radiated by it becomes nP. The value of n is

A paramagnetic substance in the form of a cube with sides $1$ cm has a magnetic dipole moment $20 \times 10^{-6}$ J/T when a magnetic intensity $60 \times 10^{3}$ A/m is applied. Its magnetic susceptibility is

A particle carrying a charge equal to $100$ times the charge of an electron is rotating one rotation per second in a circular path of radius $0.8$ m. The value of magnetic field produced at the centre will be ($\mu_0$ = permeability of free space)

Two parallel long wires carry currents $i_1$ and $i_2$ with $i_1 > i_2$. When the currents are in the same direction, the magnetic field at a point midway between the wires is $10\ \mu$T. If the direction of $i_2$ is reversed then the field becomes $30\ \mu$T. The ratio $\frac{i_1}{i_2}$

A galvanometer of resistance $50\ \Omega$ is connected to a battery of $3$V along with a resistance of $2950\ \Omega$ in series. A full scale deflection of $30$ divisions is obtained in the galvanometer. To reduce this deflection to $20$ divisions, the resistance in series should be

A particle starts oscillating simple harmonically from its equilibrium position with time period T. The ratio of kinetic energy to potential energy of the particle at time $t = T/12$ is

The maximum velocity and maximum acceleration of a particle performing a linear S.H.M. are $\alpha$ and $\beta$ respectively. Then, path length of the particle is

A particle executes S.H.M. with time period $16$ s. At time $t = 2$ s, the particle crosses the mean position while at $t = 4$ s, velocity is $4$ m/s. The amplitude of motion (in m) is $\left(\sin 45^\circ = \frac{1}{\sqrt{2}}\right)$

If the initial velocity of projection be doubled, keeping the angle of projection same, the maximum height reached by it will

An equilateral prism deviates a ray through $45^\circ$ for the two angles of incidence differing by $20^\circ$. One of the angle of incidence is

A particle of mass m is projected with velocity V making an angle of $45^\circ$ with the horizontal. The magnitude of the angular momentum of the projectile about an axis of projection when the particle is at maximum height h is ($g$ = acceleration due to gravity) $\left(\sin 45^\circ = \frac{1}{\sqrt{2}}\right)\ \left(\cos 45^\circ = \frac{1}{\sqrt{2}}\right)$

A solid sphere isthrotating about a diameter at an angular velocity $\omega$. If it cools so that its radius reduces to $\left(\frac{1}{n}\right)$ of its original value, its angular velocity becomes

In an intrinsic semiconductor, at any ordinary temperature, the correct relation between the number of electrons per unit volume ($n_e$) and number of holes per unit volume ($n_h$) is

The current gain in the common emitter mode of a transistor is $10$. The input impedance is $20\,k\Omega$ and load resistance $100\,k\Omega$. The power gain is

The output Y, when all the three inputs are first high and then low, will respectively be

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

A frame made up of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 25% the energy of the soap film will be changed by

At constant temperature, the volume of a gas is to be decreased by 4%. The pressure must be increased by

Arrange the correct order of P-V diagrams in thermodynamics for an isothermal process, isobaric process, isochoric process and adiabatic process

If the ratio of molar heat capacities $\frac{C_p}{C_v} = \gamma$ then the ratio of $\frac{\Delta Q}{\Delta U}$ and $\frac{\Delta Q}{\Delta W}$ in an isobaric process is

Heat required to raise the temperature of 2 mol of an ideal gas at constant pressure from $25^\circ$C to $35^\circ$ C is 310 J. The amount of heat required to raise the temperature of the gas through the same range at constant volume is

($R = 8.3$ J/mol K)

A metal rod (A) of length $20$ cm expands by $0.075$ cm when its temperature changes from $0^{\circ}$C to $100^{\circ}$ C. Another metal rod (B) of different metal of same length expands by $0.045$ cm for same temperature change. A third rod of same length is composed of 2 parts, one of metal A and another of metal B. For same temperature change, this rod expands by $0.060$ cm. The portion made of metal A has the length

The period of oscillation of a simple pendulum is $T = 2\pi\sqrt{\frac{l}{g}}$ where $l$ is about $100$ cm and has $1$ mm accuracy. The period is about $2$ s. The time of $100$ oscillations is measured by a stopwatch of least count $0.1$ s. The percentage error in '$g$' is (gravitation acceleration)

The resultant $\vec{R}$ of $\vec{P}$ and $\vec{Q}$ is perpendicular to $\vec{P}$. Also $|\vec{P}| = |\vec{R}|$. The angle between $\vec{P}$ and $\vec{Q}$ is ($\tan 45^\circ = 1$)

Two closed organ pipes A and B have the same length and A is wider than B. They resonate in the fundamental mode at frequencies $n_A$ and $n_B$ respectively, then

The equation of a plane progressive wave is $Y = 0.025\sin(100t + 0.25x)$. The frequency of this wave would be

A uniform rope of mass $0.1$ kg and length $2.5$ m hangs from ceiling. The speed of transverse wave in the rope at upper end and at a point $0.5$ m distance from lower end will be ($g = 10$ m/s$2$)

The equation of a stationary wave along a stretched string is $y = 5\sin\frac{\pi x}{3}\cos 40\pi t$ where $x$ and $y$ are in cm and $t$ in second. The separation between two adjacent nodes is

The distance of a point on the screen from two slits in biprism experiment is $1.8 \times 10^{-5}$ m and $1.23 \times 10^{-5}$ m. If wavelength of light used is $6000$ Å the fringe number formed at that point is

Interference fringes are produced on a screen by using two light sources of intensities I and 9I. The phase difference between the beams is $\frac{\pi}{2}$, at point P and $\pi$ at point Q on the screen. The difference between the resultant intensities at points P and Q is $\left(\cos\frac{\pi}{2} = 0, \cos\pi = -1\right)$

If Young's double slit experiment is performed in water