MHT CET 2025 Physics Paper: 19 Apr, Shift 2

In an $L - R$ circuit, the inductive reactance is equal to $\sqrt{3}$ times the resistance ' $R$ ' of the circuit. An e.m.f. $E = E_0 \sin(\omega t)$ is applied to the circuit. The power consumed in the circuit is

An a.c. source is applied to a series LR circuit with $X_L = 3R$ and power factor is $X_1$. Now a capacitor with $X_c = R$ is added in series to LR circuit and the power factor is $X_2$. The ratio $X_1$ to $X_2$ is

A coil of resistance $450\ \Omega$ and self-inductance 1.5 henry is connected to an a.c. source of frequency $\frac{150}{\pi}\text{ Hz}$. The phase difference between voltage and current is

The frequency of revolution of an electron in the $n$th orbit of hydrogen atom is

Two parallel plate air capacitors of same capacity ' C ' are connected in parallel to a battery of e.m.f. ' $E$ '. Then one of the capacitors is completely filled with dielectric material of constant ' K '. The change in the effective capacity of the parallel combination is

A particle performing uniform circular motion of radius $\frac{\pi}{2}\text{ m}$ makes $x$ revolutions in time $t$. Its tangential velocity is

A weightless thread can bear tension up to 3.7 kg wt. A stone of mass 500 gram is tied to it and revolved in circular path of radius 4 m in vertical plane. Maximum angular velocity of the stone will be (acceleration due to gravity, $g = 10\text{ m/s}^2$)

Two cells $E_1$ and $E_2$ having equal e.m.f ' $E$ ' and internal resistances $r_1$ and $r_2\ (r_1 > r_2)$ respectively are connected in series. This combination is connected to an external resistance ' R '. It is observed that the potential difference across the cell $E_1$ becomes zero. The value of $R$ will be

To determine the internal resistance of a cell with potentiometer, when the cell is shunted by a resistance of $5\ \Omega$ the balancing length is 250 cm. When the cell is shunted by $20\ \Omega$, the balancing length of potentiometer wire is 400 cm. The internal resistance, of the cell is

An electron accelerated by a potential difference ' $V$ ' has de-Broglie wavelength ' $\lambda$ '. If the electron is accelerated by a potential difference ' 9 V ', its de-Broglie wavelength will be

The maximum velocity of the photoelectrons emitted by a metal surface is $9 \times 10^{5}\text{ m/s}$. The value of ratio of charge (e) to mass (m) of the photoelectron is $1.8 \times 10^{11}\text{ C/kg}$. The value of stopping potential in volt is

Out of the following which law obeys the law of conservation of energy?

The magnetic flux through a coil is $4 \times 10^{-4}\text{ Wb}$ at time $t = 0$. It reduces to $30\%$ of its original value in time $t$ second. If e.m.f. induced in the coil is 0.56 mV then the value of $t$ is

A uniformly charged conducting sphere of diameter 3.5 cm has a surface charge density of $20\ \mu\text{C m}^{-2}$. The total electric flux leaving the surface of the sphere is nearly [permittivity of free space, $\varepsilon_0 = 8.85 \times 10^{-12}\text{ SI}$ unit]

The electric potential ' V ' is given as a function of distance ' $x$ ' (metre) by $V = \left(4x^2 + 8x - 3\right)V$. The value of electric field at $x = 0.5\text{ m}$, in $\text{V/m}$ is

A charged particle of mass ' $m$ ' and charge ' $q$ ' is at rest. It is acce:lerated in a uniform electric field of intensity ' $E$ ': for time ' $t$ '. The kinetic energy of the particles after time $t$ is

A small metal sphere of density $\rho$ is dropped from height $h$ into a jar containing liquid of density $\sigma (\sigma > \rho)$. The maximum depth up to which the sphere sinks is (Neglect damping forces)

The escape velocity of a satellite from the surface of earth does NOT depend on

A composite slab consists of two materials having coefficients of thermal conductivity K and $2K$, thickness $x$ and $4x$ respectively. The temperatures of two outer surfaces of a composite slab are $T_2$ and $T_1$ respectively $(T_2 > T_1)$. The rate of heat transfer through the slab in a steady state is $\left[\frac{A(T_2-T_1)K}{x}\right] f$, where $f$ is equal to

The co-efficient of absorption and the coefficient of reflection of a thin uniform plate are 0.77 and 0.17 respectively. If 250 kcal of heat is incident on the surface of the plate, the quantity of heat transmitted is

If r.m.s. velocity of hydrogen molecules is 4 times that of an oxygen molecule at $47^\circ\text{C}$, the temperature of hydrogen molecules is (Molecular weight of Hydrogen and Oxygen are 2 and 32 respectively)

Two gases A and B are at absolute temperatures 350 K and 420 K respectively. The ratio of average kinetic energy of the molecules of gas $B$ to that of gas A is

Force is applied to a body of mass 3 kg at rest on a frictionless horizontal surface as shown in the force against time (F-t) graph. The speed of the body after 1 s is

If $M$ is the magnetisation induced in the material, H is the magnetic field intensity, B is the net magnetic field inside the material then the correct relation between them is ( $\mu_0 =$ permeability of free space)

A particle carrying a charge equal to 1000 times the charge on an electron, is rotating one rotation per second in a circular path of radius ' $r$ ' $m$. If the magnetic field produced at the centre of the path is $x$ times the permeability of vacuum, the radius ' r ' in m is $\left[e = 1.6 \times 10^{-19}\text{ C}\right]\ \left[x = 2 \times 10^{-16}\right]$

Two long conductors separated by a distance ' d ' carry currents ' $I_1$ ' and ' $I_2$ ' in the same directions. They exert a force ' $F$ ' on each other. The distance between them is increased to ' 3 d '. If new repulsive force of magnitude ' $\frac{2}{3}F$ ' is found between these conductors, the required change in the magnitude and direction of one of the currents in the conductor is respectively [length of the conductors is constant]

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

If the length of the oscillating simple pendulum is made $\frac{1}{3}$ times the original keeping amplitude same then increase in its total energy at a place will be

A vertical spring oscillates with period 6 second with mass $m$ is suspended from it. When the mass is at rest, the spring is stretched through a distance of (Take, acceleration due to gravity, $g = \pi^2 = 10\text{ m/s}^2$)

For a particle performing S.H.M. the displacement - time graph is shown.

For that particle the force - time graph is correctly shown in graph

A convex lens of focal length $\frac{1}{3}\text{ m}$ forms a real, inverted image twice the size of the object. The distance of the object from the lens is

A body slides down a smooth inclined plane of inclination $\theta$ and reaches the bottom with velocity V. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of plane is

In a transistor amplifier, AC current gain is 64, the load resistance is $5400\ \Omega$ and the input resistance of the transistor is $540\ \Omega$. The voltage gain is

In a given logic circuit, the output Y when all the three inputs $\mathrm{A}, \mathrm{B}, \mathrm{C}$ are first low and then high will be respectively

In unbiased p-n junction diode

An ideal gas at pressure ' P ' and temperature ' T ' is enclosed in a vessel of volume ' $V$ '. Some gas leaks through a hole from the vessel and the pressure of the enclosed gas falls to ' $P'$ '. Assuming that the temperature of the gas remains constant during the leakage, the number of moles of the gas that have leaked is

A monoatomic ideal gas is heated at constant pressure. The percentage of total heat used in increasing the internal energy and that used for doing external work is $A$ and $B$ respectively. Then the ratio, $A : B$ is

The initial and final temperatures of water as recorded by an observer are $(38.6 \pm 0.2)^\circ\text{C}$ and $(82.3 \pm 0.3)^\circ\text{C}$. The rise in temperature with proper error limits is

If $L$ is the inductance and $R$ is the resistance then the SI unit of $\frac{L}{R}$ is

The resultant of two vectors $\vec{A}$ and $\vec{B}$ is $\vec{C}$. If the magnitude of $\vec{B}$ is doubled, the new resultant vector becomes perpendicular to $\vec{A}$, then the magnitude of $\vec{C}$ is

' $n$ ' small water drops of same size (radius $r$) fall through air with constant velocity V. They coalesce to form a big drop of radius R. The terminal velocity of the big drop is

Water is flowing steadily in a river. A and B are the two layers of water at heights 40 cm and 90 cm from the bottom. The velocity of the layer A is $12\text{ cm/s}$. The velocity of the layer B is

When two tuning forks are sounded together, 6 beats per second are heard. One of the fork is in unison with 0.70 m length of sonometer wire and another fork is in unison with 0.69 m length of the same sonometer wire. The frequencies of the two tuning forks are

In an organ pipe closed at one end; the sum of the frequencies of first three overtones is 3930 Hz. The frequency of the fundamental mode of organ pipe is

A progressive wave of frequency 400 Hz is travelling with velocity $336\text{ m/s}$. How far apart are the two points on a wave which are $60^\circ$ out of phase?

The frequency of a tuning fork is 256 Hz. It will not resonate with the tuning fork of frequency

In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2 m away from the lens. If the distance between the first minimum on either side of the central maximum is 1 cm, the wavelength of light used is

In Young's double slit experiment, the intensity on screen at a point where path difference is $\frac{\lambda}{4}$ is $\frac{K}{2}$. The intensity at a point when path difference is ' $\lambda$ ' will be

In Young's double slit experiment let 'd' be the distance between two slits and 'D' be the distance between the slits and the screen. Using a monochromatic source of wavelength ' $\lambda$ ', in an interference pattern, third minimum is observed exactly in front of one of the slits. If at the same point on the screen first minimum is to be obtained, the required change in the wavelength is [ $d\ \&\ D$ are not changed].

A stone is projected with kinetic energy E, making an angle $\theta$ with the horizontal. When it reaches a highest point, its kinetic energy is