MHT CET 2024 Physics Paper: 3 May, Shift 2

A transformer is used to set up an alternating e.m.f. of 220 V to 4.4 kV to transmit 6.6 kW of power. The primary coil has 1000 turns. The current rating of the secondary coil is (Transformer is ideal)

A 42 mH inductor is connected to $200\text{ V}, 50\text{ Hz}$ a.c. supply. The r.m.s. value of current in the circuit will be nearly [ Take $\pi = \frac{22}{7}$ ]

A series LCR circuit containing a resistance ' R ' has angular frequency ' $\omega$ '. At resonance the voltage across resistance and inductor are ' $V_R$ ' and ' $V_L$ ' respectively, then value of inductance ' $L$ ' will be

When 80 volt d.c. is applied across a solenoid, a current of 0.8 A flows in it. When 80 volt a.c. is applied across the same solenoid, the current becomes 0.4 A. If the frequency of a.c. source is 50 Hz, the impedance and inductance of the solenoid is nearly

The ratio of the radius of the first Bohr orbit to that of the second Bohr orbit of the orbital electron is

A diatomic molecule has moment of inertia ' I ', By applying Bohr's quantization condition, its rotational energy in the $n$th level is $[n \geq 1]$ [h= Planck's constant]

A parallel plate capacitor is charged and then isolated. If the separation between the plates is increased, which one of the following statement is NOT correct?

In projectile motion two particles of masses $m_1$ and $m_2$ have velocities $\vec{V}_1$, and $\vec{V}_2$ respectively at time $t = 0$. Their velocities become$\overrightarrow{V_1'}$and $\overrightarrow{V_2'}$ at time 2 t while still moving in air. The value of $\left[\left(m_1\overrightarrow{V_1'} + m_2\overrightarrow{V_2'}\right) - \left(m_1\vec{V}_1 + m_2\vec{V}_2\right)\right]$ is ( $g =$ acceleration due to gravity)

A wheel of radius 1 m rolls through $180^\circ$ over a plane surface. The magnitude of the displacement of the point of the wheel initially in contact with the surface is.

When a galvanometer is shunted by a resistance ' $S$ ', its current capacity increases ' $n$ ' times. If the same galvanometer is shunted by another resistance $S'$, its current capacity increases to $n'$. The value of $n'$ in terms of $n, S$ and $S'$ is

Resistances in the left gap and right gap of a meter bridge are $10\ \Omega$ and $30\ \Omega$ respectively. If the resistances in the two gaps are interchanged, the balance point will shift to right by

When the electron orbiting in hydrogen atom in its ground state moves to the third excited state, the de-Broglie wavelength associated with it

The frequency of incident light falling on a photosensitive material is doubled, the K.E. of the emitted photoelectrons will be

The graph of stopping potential ' $\mathrm{V_s}$ ' against frequency ' $v$ ' of incident radiation is plotted for two different metals ' X ' and ' Y ' as shown in graph. ' $\phi_x$ ' and ' $\phi_y$ ' are work functions of ' $x$ ' and ' $Y$ ' respectively then

Two coils are kept near each other. When no current passes through first coil and current in the $2$nd coil increases at the rate $10\text{ A/s}$, the e.m.f. in the $1$st coil is 20 mV. When no current passes through $2$nd coil and 3.6 A current passes through $1$st coil the flux linkage in coil 2 is

A rod of length ' $l$ ' is rotated with angular velocity ' $\omega$ ' about its one end, perpendicular to a magnetic field of induction ' $B$ '. The e.m.f. induced in the rod is

A charge $+Q$ is placed at each of the diagonally opposite corners of a square. A charge -q is placed at each of the other diagonally opposite corners as shown. If the net electrical force on $+Q$ is zero, then $\frac{+Q}{-q}$ is equal to

A regular hexagon of side 10 cm has a charge $1\,\mu\text{C}$ at each of its vertices. The potential at the centre of hexagon is $\Bigg[\frac{1}{4\pi\varepsilon_0} = 9 \times 10^{9}$ SI unit $\Bigg]$

Two charged particles each having charge ' $q$ ' and mass ' $m$ ' are held at rest while their separation is ' $r$ '. The speed of the particles when their separation is ' $\frac{r}{2}$ ' will be ( $\varepsilon_0 =$ permittivity of the medium)

The height at which the weight of the body becomes $\left(\frac{1}{16}\right)^{\text{th}}$ of its weight on the surface of the earth of radius ' $R$ ' is

Two identical metal spheres are kept in contact with each other, each having radius ' $R$ ' cm and ' $\rho$ ' is the density of material of metal spheres. The gravitational force ' $F$ ' of attraction between them is proportional to

The r.m.s. velocity of gas molecules kept at temperature $27^\circ\text{C}$ in a vessel is $61\text{ m/s}$. Molecular weight of gas is nearly

$\left[R = 8.31\frac{\text{J}}{\text{mol K}}\right]$

The magnetic susceptibility of the material of a rod is 599. The absolute permeability of the material of the rod will be [ $\mu_0 = 4\pi \times 10^{-7}$ SI unit]

A thin ring of radius ' $R$ ' carries a uniformly distributed charge. The ring rotates at constant speed ' $N$ ' r.p.s. about its axis perpendicular to the plane. If ' $B$ ' is the magnetic field at the centre, the charge on the ring is ( $\mu_0 =$ permeability of free space)

A charged particle is moving along a magnetic field line. What is the magnetic force acting on the particle? $\left(\sin 0^\circ = 0, \sin\frac{\pi}{2} = 1\right)$

When a particle in linear S.H.M. completes two oscillations, its phase increases by

The period of a simple pendulum gets doubled when

Frequency of a particle performing S.H.M. is 10 Hz. The particle is suspended from a vertical spring. At the highest point of its oscillation the spring is unstretched. Maximum speed of the particle is $(g = 10\text{ m/s}^2)$

A convex lens of focal length ' $f$ ' produces a real image whose size is ' $n$ ' times the size of an object. The distance of the object from the lens is

White light is incident on the interface of glass and air as shown in figure. If green light is just totally internally reflected, then reflected rays inside the glass contain

The earth is assumed to be a sphere of radius ' $R$ ' and mass ' $M$ ' having period of rotation ' $T$ '. The angular momentum of earth about its axis of rotation is

Two loops ' $A$ ' and ' $B$ ' of radii ' $R_1$ ' and ' $R_2$ ' are made from uniform wire. If moment of inertia of ' A ' is ' $I_A$ ' and that of ' B ' is ' $I_B$ ', then $R_2/R_1$ is $\left[\frac{I_A}{I_B} = 27\right]$

Which one of the following statements is true? A p-type semiconductor is doped with

The Boolean expression for 'X-OR' gate $C = (A \oplus B)$ is equal to

The combination of NAND gates is shown in figure (I) and (II). For the given inputs, the outputs in both the combinations are respectively.

The pressure inside a soap bubble $A$ is 1.01 atmosphere and that in a soap bubble B is 1.02 atmosphere. The ratio of volume of bubble A to that of B is [Surrounding pressure $= 1$ atmosphere]

A liquid drop of density ' $\rho$ ' is floating half immersed in a liquid of density ' $d$ '. If ' $T$ ' is the surface tension then the diameter of the liquid drop is ( $g =$ acceleration due to gravity)

The specific heat of argon at constant pressure and constant volume are $C_p$ and $C_v$ respectively. It's density ' $\rho$ ' at N.T.P. will be $[P$ and T are pressure and temperature respectively at N.T.P.]

A monoatomic gas is heated at constant pressure. The percentage of total heat used for doing external work is

A gas expands in such a way that its pressure and volume satisfy the condition $PV^{2} =$ constant. Then the temperature of the gas

A diatomic gas undergoes adiabatic change. Its pressure P and temperature T are related as $P \propto T^{x}$ where the value of x is

Two rods, one of copper ( Cu$)$ and the other of iron ( Fe) having initial lengths $L_1$ and $L_2$ respectively are connected together to form a single rod of length $L_1 + L_2$. The coefficient of linear expansion of Cu and Fe are $\alpha_c$ and $\alpha_i$ respectively. If the length of each rod increases by the same amount when their temperatures are raised by $t^{\circ}\text{C}$, then ratio of $\frac{L_1 - L_2}{L_1 + L_2}$ will be

A steel ball of radius 6 mm has a terminal speed of $12\text{ cms}^{-1}$ in a viscous liquid. What will be the terminal speed of a steel ball of radius 3 mm in the same liquid?

An observer moves towards a stationary source of sound with a velocity of one-fifth of the velocity of sound. The percentage increase in the apparent frequency is

If ' $l$ ' is the length of pipe, ' $r$ ' is the internal radius of the pipe and ' $v$ ' is the velocity of sound in air then fundamental frequency of open pipe is

The end correction of resonance tube is 1 cm. If the shortest length resonating with a tuning fork is 15 cm, the next resonating length will be

A violin emits sound waves of frequency ' $n_1$ ' under tension T. When tension is increased by $44\%$, keeping the length and mass per unit length constant, frequency of sound waves becomes ' $n_2$ '. The ratio of frequency ' $n_2$ ' to frequency ' $n_1$ ' is

A screen is placed at 50 cm from a single slit, which is illuminated with light of wavelength 600 nm. If separation between the $1$st and $3$rd minima in the diffraction pattern is 3 mm then slit width is

In Young's double slit experiment using monochromatic light of wavelength ' $\lambda$ ', the intensity of light at a point on the screen where path difference ' $\lambda$ ' is K units. The intensity of light at a point where the path difference is $\frac{\lambda}{6}$ is $\left[\cos\frac{\pi}{6} = \sin\frac{\pi}{3} = \frac{\sqrt{3}}{2}\right]$

In Young's double slit experiment, in an interference pattern, second minimum is observed exactly in front of one slit. The distance between the two coherent sources is ' $d$ ' and the distance between the source and screen is ' $D$ '. The wave length of light $(\lambda)$ used is