MHT CET 2025 Physics Paper: 21 Apr, Shift 1

If maximum energy is stored in a capacitor at $t = 0$ then the time after which, current in the circuit will be maximum is

In LCR series circuit, R = 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

In series LCR resonant circuit, R $= 800\ \Omega,\ C = 2\ \mu\text{F}$ and voltage across resistance is 200 V. The angular frequency is $250\text{ rad/s}$. At resonance, the voltage across the inductance is

Which of the following transitions in hydrogen atom emit photons of highest frequency? ( $n =$ principle quantum number)

The voltage between the plates of a parallel plate capacitor of capacity $1\ \mu\text{F}$ is changing at the rate of $4\text{ V/s}$. the displacement current in the capacitor is

The equivalent capacitance between plates ' A ' and ' B ' ( A -area of each plate, d-separation between plates) ( $\varepsilon_0$ - permittivity of free space) is

The value of current I in the given circuit is

The length of a potentiometer wire is ' $L$ '. A cell of e.m.f. $E$ is balanced at a length $\frac{L}{5}$ from the positive end of the wire. If the length of the wire is increased by $\frac{L}{2}$, the same cell will give balance point at distance ' $x$ '. The value of ' $x$ ' is

The de-Broglie wavelength $(\lambda)$ of a particle

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 $1 : k$, then the threshold frequency of metallic surface is

Initially a rectangular coil with length vertical is moving out with constant velocity ' $v$ ' in a constant magnetic field ' $B$ ' towards right. Now the same coil is rotated through $90^\circ$ in same plane in same magnetic field B and the coil is moving with same velocity $\mathbf{v}$. The magnitude of induced e.m.f. is now

Two coils $P$ and $Q$ are kept near each other. When no current flows through coil $P$ and current increases in coil Q at the rate of $10\text{ A/s}$, the e.m.f. in coil P is 15 mV. When coil Q carries no current and current of 1.8 A flows through coil $P$, the magnetic flux linked with coil Q is

To manufacture a solenoid of length ' $l$ ' and inductance ' $L$ ', the length of the thin wire required is (Diameter of the solenoid is very less than length, $\mu_0 =$ permeability of free space)

An electric dipole having each charge of magnitude $2\mu\text{C}$ is placed in an electric field of intensity $8 \times 10^{+4}\text{ N/C}$. If the maximum torque acting on the dipole is $4 \times 10^{-3}\text{ N-m}$, the length of the dipole is

The electric charges ' $+2q$ ', ' $+2q$ ', ' $-2q$ ' and ' $-2q$ ' are placed at the corners of square of side ' 2 L ' as shown in figure. The electric potential at point 'A', midway between the two charges ' $+2q$ ' and ' $+2q$ ' is

( $\varepsilon_0 =$ permittivity of free space)

An incompressible fluid flows steadily through a cylindrical pipe having radius R at point A and $\left(\frac{R}{3}\right)$ at point B further along the direction of flow of liquid. If the velocity at point A is ' V ' then that at point B is

Water rises up to height ' $x$ ' in a capillary tube immersed vertically in water. When the whole arrangement is taken to a depth ' $d$ ' in a mine, the water level rises up to height Y. If R is the radius of the earth then the ratio $Y : x$ is

The total energy of a circularly orbiting satellite is

A rectangular block of surface area A emits energy E per second at $27^\circ\text{C}$. If length and breadth is reduced to half of initial value and temperature is raised to $327^\circ\text{C}$ then energy emitted per second becomes

A child stands on a weighing machine inside a lift. When the lift is going down with acceleration $g/3$, the machine shows a reading 20 N. When the lift goes upwards with acceleration $g/3$, the reading would be ( $g =$ gravitational acceleration)

The variation of magnetic susceptibility $(\chi)$ with temperature for a diamagnetic substance is shown correctly by graph

The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement to distance travelled by the body in time 0 to 8 s is

Two very long straight conductors (wires) are set parallel to each other. Each carries a current ' I ' in the same direction and the separation between them is ' 2 r '. The intensity of the magnetic field at point ' P ' (as shown in the figure) ( $\mu_0 =$ permeability of free space) is

Two identical long parallel wires carry currents ' $I_1$ ' and ' $I_2$ ' such that $I_1 > I_2$. When the currents are in the same direction, the magnetic field at a point midway between the wires is $8 \times 10^{-6}\text{ T}$. If the direction of $I_2$ is reversed, the field becomes $3.2 \times 10^{-5}\text{ T}$. The ratio of $I_2$ to $I_1$ is

Two radioactive materials $A$ and $B$ having decay constant ' $7\lambda$ ' and ' $\lambda$ ' respectively, initially have same number of nuclei. The time taken to have the ratio of number of nuclei of material B to that of A as ' e ' is

A simple pendulum has time period ' $T_1$ '. The point of suspension is now moved upward according to equation $y = kt^{2}$ where $k = 1\text{ m/s}^{2}$. If new time period is ' $T_2$ ' then $T_1^{2}/T_2^{2}$ will be ( $g = 10\text{ m/s}^{2}$)

A mass $m$ is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that mass executes S.H.M. of time period $T$. If the mass is increased by $m_0$, the periodic time becomes $\frac{5T}{4}$. The ratio $\frac{m_0}{M}$

Two simple harmonic motions of angular frequency $300\text{ rad/s}$ and $3000\text{ rad/s}$ have same amplitude. The ratio of their maximum accelerations is

The phenomenon, which is not due to total internal reflection is

Two circular loops P and Q of radii ' r ' and ' nr ' are made respectively from a uniform wire. Moment of inertia of loop Q about its axis is 4 times that of loop $P$ about its axis. The value of $n$ is

Three spheres, each of mass ' $m$ ' and radius ' $r$ ' are placed as shown in figure. Consider an axis $YY'$, which is touching two spheres and passing through the diameter of third sphere. The moment of inertia of the system consisting of these three spheres about $YY'$ axis is

A disc of mass 25 kg and radius 0.2 m is rotating at 240 r.p.m. A retarding torque brings it to rest in 20 second. If the torque is due to a force applied tangentially on the rim of the disc then the magnitude of the force is

Which graph shows correctly the temperature (T). dependence of resistivity $(\rho)$ of a semiconductor?

In an n-p-n transistor amplifier, the collector current is 8 mA. If $80\%$ of the electrons from the emitter reach the collector, then ( $\alpha$ and $\beta$ are current ratios)

Which of the following logic gates is called as Universal gate?

A liquid drop of volume V is placed on the surface of glass plate. Then another glass plate is placed on it such that liquid forms a thin layer of area A between the surfaces of two plates. To separate the plates a force F has to be applied normal to the surfaces. The surface tension of the liquid is

For an ideal gas, the density of the gas is $\rho_0$ when temperature and pressure of the gas are $T_0$ and $P_0$ respectively. when the temperature of the gas is $2T_0$, its pressure becomes $3P_0$. The new density will be

An engine operating between temperatures $T_1$ and $T_2$ has efficiency $\frac{1}{5}$. When $T_2$ is lowered by 45 K, its efficiency becomes $\frac{1}{2}$. Temperatures $T_1$ and $T_2$ are respectively

Two cylinders A and B fitted with pistons contain equal amount of an ideal rigid diatomic gas at 303 K. The piston of cylinder $A$ is free to move and that of cylinder B is held fixed. The same amount heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 49 K, then the rise in temperature of the gas in $A$ is

When a diatomic gas (rigid) undergoes adiabatic change, its pressure $(P)$ and temperature $(T)$ are related as $P \propto T^{c}$. The value of $c$ is

A centigrade and Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit temperature observed is $140^\circ\text{F}$. At that time the temperature registered by the centigrade thermometer is

A physical quantity A can be determined by measuring parameters $B, C, D$ and E using the relation $A = \frac{B^{\alpha} C^{\beta}}{D^{\gamma} E^{\delta}}$. If the maximum errors in the measurement are $b\%,\ c\%,\ d\%$ and $e\%$ then maximum error in the value of A is

The three vector $\vec{A} = 3\hat{i} - 2\hat{j} + \hat{k}, \vec{B} = \hat{i} - 3\hat{j} + 5\hat{k}$ and $\vec{C} = 2\hat{i} - \hat{j} + 4\hat{k}$ will form

Two sources of sound are emitting progressive waves $y_1 = 4\sin 710\pi t$ and $y_2 = 3\sin 702\pi t$. The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and waning are respectively

A pipe open at both ends of length 1.5 m is dipped in water at one end such that $2$nd overtone of vibrating air column is resonating with a tuning fork of frequency 330 Hz. The length of the pipe immersed in water is (Speed of sound in air $= 330\text{ m/s}$) (Neglect end correction)

Two uniform wires of same material are vibrating under the same tension. If the $1$st overtone of $1$st wire is equal to the $2$nd overtone of $2$nd wire and radius of $1$st wire is twice the radius of $2$nd wire, the ratio of length of $1$st wire to that $2$nd wire is

An observer on sea-coast counts 45 waves in one minute. If the wavelength of the waves is 7 m, then the velocity of the waves will be

Three polarised sheets are co-axially placed. Pass axis of polaroids 2 and 3 make $30^\circ$ and $90^\circ$ with pass axis of polaroid sheet 1. If $I_0$ is the intensity of unpolarised light entering sheet 1, the intensity of the emergent light through sheet 3 is

$\left(\cos 30^\circ = \sqrt{3}/2, \cos 90^\circ = 0, \cos 60^\circ = 1/2\right)$

Interference fringes are produced on the screen by using two light sources of intensities I and 9I. The phase difference between the beams is $\pi/2$ at point P and $\pi$ at point Q on the screen. The difference between the resultant intensities at points P and Q is $(\cos 90^\circ = 0, \cos\pi = -1)$

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 wavelengths used are proportional to