MHT CET 2024 Physics Paper: 10 May, Shift 1

An e.m.f. $E = E_0 \cos\omega t$ is applied to the $L - R$ circuit. The inductive reactance is equal to the resistance ' $R$ ' of the circuit. The power consumed in the circuit is

The inductive reactance of a coil is ' $R$ ' $\Omega$. If inductance of a coil is tripled and frequency of a.c supply is also tripled, then new inductive reactance will be

A series resonant circuit consists of inductor ' $L$ ' of negligible resistance and a capacitor ' $C$ ' which produces resonant frequency ' $f$ '. If $L$ is changed to 3 L and ' C ' is changed to 6 C, the resonant frequency will become.

Using Bohr's model, the orbital period of electron in hydrogen atom in $n$th orbit is ( $m =$ mass of electron, $h =$ Planck's constant, $e =$ electronic charge, $\varepsilon_0 =$ permittivity of free space)

If the ionisation energy for the hydrogen atom is 13.6 eV, then the energy required to excite it from the ground state to the next higher state is nearly

Two identical capacitors have the same capacitance ' $C$ '. One of them is charged to potential $V_1$ and other to $V_2$. The negative ends of capacitors are connected together. When positive ends are also connected, the decrease in energy of the combined system is

Seven capacitors each of capacitance $2\ \mu\text{F}$ are connected in a configuration to obtain an effective capacitance $\frac{6}{13}\ \mu\text{F}$. The combination which will achieve this will have

For a particle in uniform circular motion

In the circuit, current flowing through the circuit is

In potentiometer experiment, cells of e.m.f. $E_1$ and $E_2$ are connected in series $(E_1 > E_2)$ the balancing length is 80 cm of the wire. If the polarity of $E_2$ is reversed, the balancing length becomes 20 cm. The ratio $E_1/E_2$ is

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

In photoelectric effect, the photocurrent

An inductor coil of inductance $L$ is divided into two parts and both parts are connected in parallel. The net inductance is

Two coils have a mutual inductance 0.003 H. The current changes in the first coil according to equation $I = I_0 \sin \omega t$, where $I_0 = 8\text{ A}$ and $\omega = 100\pi\text{ rad s}^{-1}$. The maximum value of e.m.f. in the second coil is

The current in LR circuit if reduced to half What will be the energy stored in it?

Two point charges +10 q and -4 q are located at $x = 0$ and $x = L$ respectively. What is the location of a point on the $x$-axis from the origin, which the net electric field due to these two point charges is zero?( $r =$ required distance$)$

Four electric charges $+q, +q, -q$ and -q are placed in order at the corners of a square of side 2 L. The electric potential at point midway between the two positive charges is

A closed pipe containing a liquid showed a pressure $P_1$ by gauge. When the valve was opened, pressure was reduced to $P_2$. The speed of water flowing out of the pipe is ($\rho =$ density of water)

A completely filled water tank of height ' $h$ ' has a hole at the bottom. The total pressure of the bottom is 4 H and atmospheric pressure is H. The velocity of water flowing out of the hole is ( $\rho =$ density of water)

The radius and mean density of the planet are four times as that of the earth. The ratio of escape velocity at the earth to the escape velocity at a planet is

A small planet is revolving around a very massive star in a circular orbit of radius ' $R$ ' with a period of revolution ' $T$ '. If the gravitational force between the planet and the star were proportional to '$R^{-5/2}$', then '$T$' would be proportional to

A black sphere has radius $R$ whose rate of radiation is E at temperature T. If radius is made half and temperature 4 T, the rate of radiation will be

Ordinary bodies P and Q radiate maximum energy with wavelength difference $3\,\mu\text{m}$. The absolute temperature of body P is four times that of Q. The wavelength at which body Q radiates maximum energy is

The average force applied on the wall of a closed container depends as $T^{x}$ where T is the temperature of an ideal gas. The value of $x$ is

In the following graph of flux density versus magnetizing force, coercivity and retentivity are respectively represented by the points

A circular arc of radius r carrying current ' I ' subtends an angle $\frac{\pi}{8}$ at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is ( $\mu_0 =$ permeability of free space)

Electron of mass ' $m$ ' and charge ' $q$ ' is travelling with speed ' $v$ ' along a circular path of radius ' $R$ ' at right angles to a uniform magnetic field of intensity ' B '. If the speed of the electron is halved and the magnetic field is doubled, the resulting path would have radius

Let ' $l_1$ ' be the length of simple pendulum. Its length changes to ' $l_2$ ' to increase the periodic time by $20\%$. The ratio $\frac{l_2}{l_1} =$

A particle performing S.H.M. with maximum velocity ' $V$ '. If the amplitude double and periodic time is made, $\left(\frac{1}{3}\right)$rd then the maximum velocity is

Simple microscope is used to see the object first in blue light and then a red light. Due to the change from blue to red light, its magnifying power

A ray of light is incident on a medium of refractive index ' $\mu$ ' at an angle of incidence ' $i$ '. On refraction in the medium ' $\delta$ ' is the angle of deviation. Then

The moment of inertia of uniform circular disc is maximum about an axis perpendicular to the disc and passing through point

A solid metallic sphere of radius ' $R$ ' having moment of inertia '$I$' about diameter is melted and recast into a solid disc of radius ' $r$ ' of a uniform thickness. The moment of inertia of a disc about an axis passing through its edge and perpendicular to its plane is also equal to '$I$'. The ratio $\frac{r}{R}$ is

A ring and a disc roll on horizontal surface without slipping with same linear velocity. If both have same mass and total kinetic energy of the ring is 6 J then total kinetic energy of the disc is

What is the output Y in the following circuit, when all the three inputs A, B, C are first 'zero' and then 'one'?

Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is

In the block diagram of simple rectifier circuit, from a variable a.c. voltage, constant d.c. voltage is obtained. The correct order of operation is

Which of the following graphs between pressure and volume correctly show isochoric process?

Initial pressure and volume of a gas are ' P ' and ' $V$ ' respectively. First its volume is expanded to ' 4 V ' by isothermal process and then again its volume is reduced to ' V ' by adiabatic process then its final pressure if $\left(\gamma = \frac{3}{2}\right)$

A metal sphere of radius R, density $\rho_1$ moves with terminal velocity $\mathrm{V}_1$ through a liquid of density $\sigma$. Another sphere of same radius but density $\rho_2$ moves through same liquid. Its terminal velocity is $\mathrm{V}_2$. The ratio $\mathrm{V}_1 : \mathrm{V}_2$ is

Two sound waves having displacements $x_1 = 2\sin(1000\pi t)$ and $x_2 = 3\sin(1006\pi t)$, when interfere, produce

When the listener moves towards stationary source with velocity ' $V_1$ ', the apparent frequency of emitted note is ' $F_1$ '. When observer moves away from the source with velocity ' $V_1$ ', apparent frequency is ' $F_2$ '. If V is the velocity of sound in air and $\frac{F_1}{F_2} = 2$ then $\frac{V}{V_1}$ is

The pipe open at both ends and pipe closed at one end have same length and both are vibrating in fundamental mode. Air column vibrating in open pipe has resonance frequency $n_1$ and air column vibrating in closed pipe has resonance frequency $n_2$, then

When the string is stretched between two rigid supports, under certain tension and vibrated

A musical instrument X produces sound waves of frequency n and amplitude A. Another musical instrument $Y$ produces sound waves of frequency $\frac{n}{3}$. The waves produced by $X$ and $Y$ have equal energies. The amplitude of waves produced by Y will be

In biprism experiment, if $5$th bright band with wavelength $\lambda_1$ coincides with $6$th dark band with wavelength $\lambda_2$ then the ratio $(\lambda_1/\lambda_2)$ is

In a diffraction pattern due to single slit of width ' $a$ ', the first minimum is observed at an angle $30^\circ$ when light of wavelength $5000\text{ \AA}$ is incident on the slit. The first secondary maximum is observed at an angle $\left[\sin 30 = \frac{1}{2}\right]$

In young's double slit experiment, the $n$th maximum of wavelength $\lambda_1$ is at a distance of $y_1$ from the central maximum. When the wavelength of the source is changed to $\lambda_2, \left(\frac{n}{3}\right)$th maximum is at a distance of $y_2$ from its central maximum. The ratio $\frac{y_1}{y_2}$ is

A lead bullet moving with velocity ' V ' strikes a wall and stops. If $75\%$ of its energy is converted into heat, then the increase in temperature is ( $\text{s} =$ specific heat of lead, $\text{J} =$ mechanical equivalent of heat)

If the momentum of a body of mass ' $m$ ' is increased by $20\%$ then its kinetic energy increases by