MHT CET 2023 Physics Paper: 10 May, Shift 2

A $100\text{ mH}$ coil carries a current of $1\text{ A}$. Energy stored in the form of magnetic field is

In the circuit given below, the current through inductor is $0.9\text{ A}$ and through the capacitor is $0.6\text{ A}$. The current drawn from the a.c. source is

The capacitive reactance of a capacitor '$C$' is $X\ \Omega$. Both, the frequency of a.c. supply and capacitance of the above capacitor are doubled. The new capacitive reactance will be

With an alternating voltage source of frequency '$f$', inductor '$L$', capacitor '$C$' and resistance '$R$' are connected in series. The voltage leads the current by $45^\circ$. The value of '$L$' is $(\tan 45^\circ = 1)$

The ratio of the velocity of the electron in the first Bohr orbit to that in the second Bohr orbit of hydrogen atom is

Two dielectric slabs having dielectric constant '$K_1$ ' and '$K_2$ ' of thickness $\frac{d}{4}$ and $\frac{3d}{4}$ are inserted between the plates as shown in figure. The net capacitance between $A$ and $B$ is $[\varepsilon_0$ is permittivity of free space]

If a capacitor of capacity $900\ \mu\text{F}$ is charged to $100\text{ V}$ and its total energy is transferred to a capacitor of capacity $100\ \mu\text{F}$, then its potential will be

A particle performing uniform circular motion of radius $\frac{\pi}{2}\text{ m}$ makes '$x$' revolutions in time '$t$'. Its tangential velocity is

A galvanometer has resistance '$G$' and range '$V_g$'. How much resistance is required to read voltage upto '$V$' volt?

In meter bridge experiment, null point was obtained at a distance '$l$' from left end. The values of resistances in the left and right gap are doubled and then interchanged. The new position of the null point is

If the potential difference used to accelerate electrons is doubled, by what factor does the de- Broglie wavelength associated with electrons change?

The maximum kinetic energy of the photoelectrons varies

A hollow metal pipe is held vertically and bar magnet is dropped through it with its length along the axis of the pipe. The acceleration of the falling magnet is ( $g =$ acceleration due to gravity)

Two concentric circular coils having radii $r_1$ and $r_2 \ (r_2 \ll r_1)$ are placed co-axially with centres coinciding. The mutual induction of the arrangement is (Both coils have single turn, $\mu_0 =$ permeability of free space)

Assume that an electric field $\vec{E} = 30x^{2}\hat{i}$ exists in space. If '$V_0$' is the potential at the origin and '$V_A$' is the potential at $x = 2\text{ m}$, then the potential difference $(V_A - V_0)$ is

A body is projected vertically from earth's surface with velocity equal to half the escape velocity. The maximum height reached by the satellite is ( $R$ = radius of earth)

A system consists of three particles each of mass '$m_1$ ' placed at the corners of an equilateral triangle of side ' $\frac{L}{3}$ ', A particle of mass '$m_2$ ' is placed at the mid point of any one side of the triangle. Due to the system of particles, the force acting on $m_2$ is

A black body radiates maximum energy at wavelength '$\lambda$' and its emissive power is 'E' Now due to change in temperature of that body, it radiates maximum energy at wavelength $\frac{2\lambda}{3}$. At that temperature emissive power is

In a vessel, the ideal gas is at a pressure $P$. If the mass of all the molecules is halved and their speed is doubled, then resultant pressure of the gas will be

A solenoid of 500 turns/m is carrying a current of 3 A. Its core is made of iron which has relative permeability 5001. The magnitude of magnetization is

Two trains, each $30\text{ m}$ long are travelling in opposite directions with velocities $5\text{ m/s}$ and $10\text{ m/s}$. They will cross after

The magnetic field at the centre of a circular coil of radius '$R$', carrying current $2A$ is '$B_1$ '. The magnetic field at the centre of another coil of radius '$3R$' carrying current $4A$ is '$B_2$'. The ratio $B_1 : B_2$ is

Two wires $2\text{ mm}$ apart supply current to a $100\text{ V},\ 1\text{ kW}$ heater. The force per metre between the wires is ( $\mu_0 = 4\pi \times 10^{-7}$ SI unit)

A body is executing a linear S.H.M. Its potential energies at the displacement '$x$' and '$y$' are '$E_1$' and '$E_2$' respectively. Its potential energy at displacement $(x+y)$ will be

A simple harmonic progressive wave is represented by $y = A\sin(100\pi t + 3x)$. The distance between two points on the wave at a phase difference of $\frac{\pi}{3}$ radian is

Two lenses of power $-15\text{ D}$ and $+5\text{ D}$ are in contact with each other. The focal length of the combination is

To get three images of a single object, the angle between the two plane mirrors should be

What is the moment of inertia of the electron moving in second Bohr orbit of hydrogen atom? [ $\mathrm{h} =$ Planck's constant, $\mathrm{m} =$ mass of electron, $\varepsilon_0 =$ permittivity of free space, $\mathrm{e} =$ charge on electron]

The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the centre is $\frac{Ma^2}{6}$, where '$M$' is the mass and '$a$' is the side of square plate. Moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

Two spheres each of mass '$M$' and radius $\frac{R}{2}$ are connected at the ends of massless rod of length '$2R$'. What will be the moment of inertia of the system about an axis passing through centre of one of the spheres and perpendicular to the rod?

A pure $\text{Si}$ crystal has $4 \times 10^{28}$ atoms per $\text{m}^{3}$. It is doped by 1 ppm concentration of antimony. The number of free electrons available will be

Which one of the operations of $\mathrm{n}-\mathrm{p}-\mathrm{n}$ transistor differs from that of $p-n-p$ transistor?

The output of an 'OR' gate is connected to both the inputs of a 'NAND' gate. The combination will serve as

For the diagram shown, the resistances between points A and B when ideal diode D is forward biased is '$R_1$' and that when reverse biased is '$R_2$'. The ratio $R_1 : R_2$ is

At critical temperature, the surface tension of liquid is

'$n$' number of liquid drops each of radius '$r$' coalesce to form a single drop of radius '$R$'. The energy released in the process is converted into the kinetic energy of the big drop so formed. The speed of the big drop is

$[T =$ surface tension of liquid, $\rho =$ density of liquid.]

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 a gas is [R is gas constant]

We have a jar filled with gas characterized by parameters $P, V, T$ and another jar B filled with gas having parameters $2P, \frac{V}{4}, 2T$, where symbols have their usual meaning. The ratio of number of molecules in jar A to those in jar B is

Which of the following graphs between pressure (P) and volume (V) correctly shows isochoric changes?

A metal rod $2\text{ m}$ long increases in length by $1.6\text{ mm}$, when heated from $0^\circ\text{C}$ to $60^\circ\text{C}$. The coefficient of linear expansion of metal rod is

A metal sphere of mass '$m$' and density '$\sigma_1$' falls with terminal velocity through a container containing liquid. The density of liquid is '$\sigma_2$ '. The viscous force acting on the sphere is

The fundamental frequency of air column in pipe 'A' closed at one end is in unison with second overtone of an air column in pipe 'B' open at both ends. The ratio of length of air column in pipe '$A$' to that of air column in pipe '$B$' is

The equation of wave is $Y = 6\sin\left(12\pi t - 0.02\pi x + \frac{\pi}{3}\right)$ where '$x$' is in $\text{m}$ and '$t$' in $\text{s}$. The velocity of the wave is

A uniform rope of length '$L$' and mass '$m_1$ ' hangs vertically from a rigid support. A block of mass '$m_2$' is attached to the free end of the rope. A transverse wave of wavelength '$\lambda_1$' is produced at the lower end of the rope. The wavelength of the wave when it reaches the top of the rope is '$\lambda_2$'. The ratio $\frac{\lambda_1}{\lambda_2}$ is

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

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

Light waves from two coherent sources arrive at two points on a screen with path difference of zero and $\frac{\lambda}{2}$. The ratio of intensities at the points is $(\cos 0^\circ = 1, \cos \pi = -1)$

In Young's double slit experiment, the two slits are 'd' distance apart. Interference pattern is observed on a screen at a distance 'D' from the slits. A dark fringe is observed on a screen directly opposite to one of the slits. The wavelength of light is

A ball of mass '$\text{m}$' is dropped from a height '$\text{s}$' on a horizontal platform fixed at the top of a vertical spring. The platform is depressed by a distance '$h$'. The spring constant is ( $\text{g} =$ acceleration due to gravity)