MHT CET 2023 Physics Paper: 13 May, Shift 1

In an oscillating LC circuit, the maximum charge on the capacitor is '$Q$'. When the energy is stored equally between the electric and magnetic fields, the charge on the capacitor becomes

In an a.c. circuit the instantaneous current and emf are represented as $I = I_0 \sin[\omega t - \pi/6]$ and $E = E_0 \sin[\omega t + \pi/3]$ respectively. The voltage leads the current by

With increase in frequency of a.c. supply, the impedance of an L-C-R series circuit

Two cells $E_1$ and $E_2$ having equal EMF '$E$' 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

In a given meter bridge, the current flowing through $40\ \Omega$ resistor is

When a light of wavelength $300\text{ nm}$ falls on a photoelectric emitter, photo electrons are emitted. For another emitter light of wavelength $600\text{ nm}$ is just sufficient for liberating photoelectrons. The ratio of the work function of the two emitters is

Light of frequency 1.5 times the threshold frequency is incident on photosensitive material. If the frequency is halved and intensity is doubled, the photocurrent becomes

Three coils of inductance $L_1 = 2\text{ H}, L_2 = 3\text{ H}$ and $L_3 = 6\text{ H}$ are connected such that they are separated from each other. To obtain the effective inductance of 1 henry, out of the following combinations as shown in figure, the correct one is

The magnet is moved towards the coil with speed '$V$'. The induced e.m.f. in the coil is '$e$'. The magnet and the coil move away from one another each moving with speed '$V$'. The induced e.m.f. in the coil is

A transformer has 20 turns in the primary and 100 turns in the secondary coil. An ac voltage of $V$in $= 600 \sin 314 t$ is applied to primary terminal of transformer. Then maximum value of secondary output voltage obtained in volt is

Select the 'WRONG' statement out of the following.

If the magnitude of intensity of electric field at a distance '$r_1$ ' on an axial line and at a distance '$r_2$ ' on an equatorial line due to a given short dipole are equal, then $r_1 : r_2$, is

Which of the following statements is 'WRONG' for the conductors?

A charged spherical conductor of radius '$R$' is connected momentarily to another uncharged spherical conductor of radius '$r$' by means of a thin conducting wire, then the ratio of the surface charge density of the first to the second conductor is

Three charges each of value $+q$ are placed at the corners of an isosceles triangle $ABC$ of sides $AB$ and $AC$ each equal to $2a$. The mid points of $AB$ and $AC$ are $D$ and $E$ respectively. The work done in taking a charge $Q$ from $D$ to $E$ is ( $\varepsilon_0 =$ permittivity of free space)

Venturimeter is used to

The fundamental frequency of a sonometer wire carrying a block of mass '$M$' and density '$\rho$' is '$n$' Hz. When the block is completely immersed in a liquid of density '$\sigma$' then the new frequency will be

A body of mass '$m$' is raised through a height above the earth's surface so that the increase in potential energy is $\frac{mgR}{5}$. The height to which the body is raised is ( $R =$ radius of earth, $g =$ acceleration due to gravity)

If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between them is proportional to $R^{x}$, where $x$ is non zero integer [Given: $R$ is radius of each spherical body]

The temperature gradient in a rod of length $75\text{ cm}$ is $40^\circ\text{C/m}$. If the temperature of cooler end of the rod is $10^\circ\text{C}$, then the temperature of hotter end is

A black body at temperature $127^\circ\text{C}$ radiates heat at the rate of $5\text{ cal/cm}^{2}\text{ s}$. At a temperature $927^\circ\text{C}$, its rate of emission in units of $\text{cal/cm}^{2}\text{ s}$ will be

For which of the following substances, the magnetic susceptibility is independent of temperature?

Which one of the following statements is Wrong?

Two concentric circular coils A and B have radii $20\text{ cm}$ and $10\text{ cm}$ respectively lie in the same plane. The current in coil A is $0.5\text{ A}$ in anticlockwise direction. The current in coil B so that net field at the common centre is zero, is

A circular coil of radius '$r$' and number of turns ' $n$ ' carries a current '$I$'. The magnetic fields at a small distance '$h$' along the axis of the coil $(B_a)$ and at the centre of the coil $(B_c)$ are measured. The relation between $B_c$ and $B_a$ is

A radioactive sample has half-life of 5 years. The percentage of fraction decayed in 10 years will be

An isotope of the original nucleus can be formed in a radioactive decay, with the emission of following particles.

A body of mass $0.04\text{ kg}$ executes simple harmonic motion (SHM) about $x = 0$ under the influence of force $F$ as shown in graph. The period of oscillation is

A simple pendulum has a time period '$T$' in air. Its time period when it is completely immersed in a liquid of density one eighth the density of the material of bob is

A large number of bullets are fired in all directions with same speed '$U$'. The maximum area on the ground on which the bullets will spread is

A ray of light is incident at an angle of incidence '$i$' on one surface of a prism of small angle $A$ and emerges normally from the other surface. If the refractive index of the material of the prism is '$\mu$', then the angle of incidence is equal to

A spherical surface of radius of curvature '$R$' separates air from glass of refractive index 1.5. The centre of curvature is in the glass. A point object $P$ placed in air forms a real image $Q$ in the glass. The line $PQ$ cuts the surface at point '$O$' and $PO = OQ = x$. Hence the distance '$x$' is equal to

The rotational kinetic energy and translational kinetic energy of a rolling body are same, the body is

A solid cylinder of mass $3\text{ kg}$ is rolling on a horizontal surface with velocity $4\text{ m/s}$. It collides with a horizontal spring whose one end is fixed to rigid support. The force constant of material of spring is $200\text{ N/m}$. The maximum compression produced in the spring will be (assume collision between cylinder & spring be elastic)

A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made four times, its angular momentum will become

If two inputs of a NAND gate are shorted, the resulting gate is

On increasing the reverse bias to a large value in a P-N junction diode, current

The following graph represents

Twenty seven droplets of water each of radius $0.1\text{ mm}$ merge to form a single drop then the energy released is

A large number of water droplets each of radius '$r$' combine to form a large drop of Radius '$R$'. If the surface tension of water is '$T$' & mechanical equivalent of heat is '$J$' then the rise in temperature due to this is

Which one of the following represents correctly the variation of volume (V) of an ideal gas with temperature $(T)$ under constant pressure conditions?

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 will be $3P_0$. The new density will be

A Carnot engine has the same efficiency between (i) $100\text{ K}$ and $600\text{ K}$ and (ii) $\mathrm{T}\text{ K}$ and $960\text{ K}$. The temperature $\mathrm{T}$ in kelvin of the sink is

$dQ$ is the heat energy supplied to an ideal gas under isochoric conditions. If $dU$ and $dW$ denote the change in internal energy and the work done respectively then

A passenger is sitting in a train which is moving fast. The engine of the train blows a whistle of frequency '$n$'. If the apparent frequency of sound heard by the passenger is '$f$' then

In resonance tube, first and second resonance are obtained at depths $22.7\text{ cm}$ and $70.2\text{ cm}$ respectively. The third resonance will be obtained at a depth

A uniform wire $20\text{ m}$ long and weighing $50\text{ N}$ hangs vertically. The speed of the wave at mid point of the wire is (acceleration due to gravity $= g = 10\text{ ms}^{-2}$)

In a biprism experiment, monochromatic light of wavelength '$\lambda$' is used. The distance between two coherent sources '$d$' is kept constant. If the distance between slit and eyepiece '$D$' is varied as $D_1, D_2, D_3 \& D_4$ and corresponding measured fringe widths are $Z_1, Z_2, Z_3$ and $Z_4$ then

$A$ and $B$ are two interfering sources where $A$ is ahead in phase by $54^\circ$ relative to B. The observation is taken from point $P$ such that PB $-$ PA = 2.5 $\lambda$. Then the phase difference between the waves from A and B reaching point P is (in rad)

Using variation of force and time given below, final velocity of a particle of mass $2\text{ kg}$ moving with initial velocity $6\text{ m/s}$ will be