NEET 2024 Physics Paper

A step up transformer is connected to an ac mains supply of $220\text{ V}$ to operate at $11000\text{ V},\ 88$ watt. The current in the secondary circuit, ignoring the power loss in the transformer, is

In an ideal transformer, the turns ratio is $\frac{N_P}{N_S} = \frac{1}{2}$. The ratio $V_S : V_P$ is equal to (the symbols carry their usual meaning):

The amplitude of the charge oscillating in a circuit decreases exponentially as $Q = Q_0 e^{-Rt/2L}$, where $Q_0$ is the charge at $t = 0\text{ s}$. The time at which charge amplitude decreases to $0.50Q_0$ is nearly: [Given that $R = 1.5\,\Omega,\ L = 12\text{ mH},\ \ln(2) = 0.693$]

A $10\ \mu F$ capacitor is connected to a $210\text{ V}, 50\text{ Hz}$ source as shown in figure. The peak current in the circuit is nearly $(\pi = 3.14)$:

In the circuit shown below, the inductance $L$ is connected to an ac source. The current flowing in the circuit is $I = I_0 \sin \omega t$. The voltage drop $(V_L)$ across $L$ is

Given below are two statements:

Statement I: Atoms are electrically neutral as they contain equal number of positive and negative charges.

Statement II: Atoms of each element are stable and emit their characteristic spectrum. In the light of the above statements, choose the most appropriate answer from the options given below.

Some energy levels of a molecule are shown in the figure with their wavelengths of transitions. Then:

The spectral series which corresponds to the electronic transition from the levels $n_2 = 5, 6, \ldots$ to the level $n_1 = 4$ is

Match List I with List II:

Choose the correct answer from the options given below:

The capacitance of a capacitor with charge $q$ and a potential difference $V$ depends on

The steady state current in the circuit shown below is:

In the following circuit, the equivalent capacitance between terminal A and terminal B is:

A $12\text{ pF}$ capacitor is connected to a $50\text{ V}$ battery, the electrostatic energy stored in the capacitor in $\text{nJ}$ is

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then A. the charge stored in it, increases.

B. the energy stored in it, decreases.

C. its capacitance increases.

D. the ratio of charge to its potential remains the same.

E. the product of charge and voltage increases.

Choose the most appropriate answer from the options given below:

The terminal voltage of the battery, whose emf is $10\text{ V}$ and internal resistance $1\ \Omega$, when connected through an external resistance of $4\ \Omega$ as shown in the figure is:

A wire of length '$l$' and resistance $100\ \Omega$ is divided into 10 equal parts. The first 5 parts are connected in series while the next 5 parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is:

A uniform metal wire of length $l$ has $10\ \Omega$ resistance. Now this wire is stretched to a length $2l$ and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is

A uniform wire of diameter $d$ carries a current of $100\text{ mA}$ when the mean drift velocity of electrons in the wire is $v$. For a wire of diameter $\frac{d}{2}$ of the same material to carry a current of $200\text{ mA}$, the mean drift velocity of electrons in the wire is

Two heaters $A$ and $B$ have power rating of $1\text{ kW}$ and $2\text{ kW}$, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:

Choose the correct circuit which can achieve the bridge balance.

The given circuit shows a uniform straight wire $AB$ of $40\text{ cm}$ length fixed at both ends. In order to get zero reading in the galvanometer $G$, the free end of $J$ is to be placed from $B$ at:

The graph which shows the variation of $\left(\frac{1}{\lambda^2}\right)$ and its kinetic energy, $E$ is (where $\lambda$ is de Broglie wavelength of a free particle):

An electron and an alpha particle are accelerated by the same potential difference. Let $\lambda_e$ and $\lambda_\alpha$ denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:

If $\phi$ is the work function of photosensitive material in $\text{eV}$ and light of wavelength of numerical value $\lambda = \frac{hc}{e}$ metre, is incident on it with energy above its threshold value at an instant then the maximum kinetic energy of the photo-electron ejected by it at that instant (Take $h$-Plank's constant, $c$-velocity of light in free space) is (in SI units):

If $c$ is the velocity of light in free space, the correct statements about photon among the following are:

A. The energy of a photon is $E = h\nu$.

B. The velocity of a photon is $c$.

C. The momentum of a photon, $p = \frac{h\nu}{c}$.

D. In a photon-electron collision, both total energy and total momentum are conserved. E. Photon possesses positive charge.

Choose the correct answer from the options given below:

Let us consider two solenoids $A$ and $B$, made from same magnetic material of relative permeability $\mu_r$ and equal area of cross-section. Length of $A$ is twice that of $B$ and the number of turns per unit length in $A$ is half that of $B$. The ratio of self inductances of the two solenoids, $L_A : L_B$ is

The electromagnetic radiation which has the smallest wavelength are

The property which is not of an electromagnetic wave travelling in free space is that:

If the ratio of relative permeability and relative permittivity of a uniform medium is $1 : 4$. The ratio of the magnitudes of electric field intensity $(E)$ to the magnetic field intensity $(H)$ of an EM wave propagating in that medium is (Given that $\sqrt{\frac{\mu_0}{\varepsilon_0}} = 120\pi$):

A metal cube of side $5\text{ cm}$ is charged with $6\ \mu\text{C}$. The surface charge density on the cube is

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: The potential (V) at any axial point, at $2\text{ m}$ distance $(r)$ from the centre of the dipole of dipole moment vector $\vec{P}$ of magnitude, $4 \times 10^{-6}\text{ Cm}$, is $\pm 9 \times 10^{3}\text{ V}$.

(Take $\frac{1}{4\pi\epsilon_0} = 9 \times 10^{9}\text{ SI}$ units)

Reason R: $V = \pm\frac{2P}{4\pi\epsilon_0 r^2}$, where $r$ is the distance of any axial point, situated at $2\text{ m}$ from the centre of the dipole.

In the light of the above statements, choose the correct answer from the options given below:

The value of electric potential at a distance of $9\text{ cm}$ from the point charge $4 \times 10^{-7}\text{ C}$ is [Given $\frac{1}{4\pi\varepsilon_0} = 9 \times 10^{9}\text{ N m}^2\text{C}^{-2}$ ]:

A thin spherical shell is charged by some source. The potential difference between the two points $C$ and $P$ (in V) shown in the figure is:

(Take $\frac{1}{4\pi\varepsilon_0} = 9 \times 10^{9}$ SI units)

An ideal fluid is flowing in a non-uniform cross-sectional tube $XY$ (as shown in the figure) from end $X$ to end $Y$. If $K_1$ and $K_2$ are the kinetic energy per unit volume of the fluid at $X$ and $Y$ respectively, then the correct option is:

The mass of a planet is $\frac{1}{10}$th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

An object of mass $100\text{ kg}$ falls from point $A$ to $B$ as shown in figure. The change in its weight, corrected to the nearest integer is ($R_E$ is the radius of the earth)

The escape velocity for earth is $v$. A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

The minimum energy required to launch a satellite of mass $m$ from the surface of earth of mass $M$ and radius $R$ in a circular orbit at an altitude of $2R$ from the surface of the earth is:

Given below are two statements: One is labelled as Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$.

Assertion A: Houses made of concrete roofs overlaid with foam keep the room hotter during summer.

Reason R: The layer of foam insulation prohibits heat transfer, as it contains air pockets. In the light of the above statements, choose the correct answer from the options given below.

A particle moving with uniform speed in a circular path maintains:

A box of mass $5\text{ kg}$ is pulled by a cord, up along a frictionless plane inclined at $30^\circ$ with the horizontal. The tension in the cord is $30\text{ N}$. The acceleration of the box is (Take $g = 10\text{ m s}^{-2}$)

A horizontal force $10\text{ N}$ is applied to a block $A$ as shown in figure. The mass of blocks $A$ and $B$ are $2\text{ kg}$ and 3 $\text{kg}$ respectively. The blocks slide over a frictionless surface. The force exerted by block $A$ on block $B$ is:

The magnetic moment of an iron bar is $M$. It is now bent in such a way that it forms an arc section of a circle subtending an angle of $60^\circ$ at the centre. The magnetic moment of this arc section is

An iron bar of length $L$ has magnetic moment $M$. It is bent at the middle of its length such that the two arms make an angle $60^\circ$ with each other. The magnetic moment of this new magnet is:

The magnetic potential energy, when a magnetic bar of magnetic moment $\vec{m}$ is placed perpendicular to the magnetic field $\vec{B}$ is

The incorrect relation for a diamagnetic material (all the symbols carry their usual meaning and $\varepsilon$ is a small positive number) is

Match List I with List II

Choose the correct answer from the options given below.

The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, $1.0 \times 10^{-2}\text{ A m}^{2}$ and $\frac{10^{-6}}{\pi^{2}}\text{ kg m}^{2}$. If it completes 10 oscillations in $10\text{ s}$, the magnitude of the magnetic field is

In a uniform magnetic field of $0.049\text{ T}$, a magnetic needle performs 20 complete oscillations in 5 seconds as shown. The moment of inertia of the needle is $9.8 \times 10^{-6}\text{ kg m}^{2}$. If the magnitude of magnetic moment of the needle is $x \times 10^{-5}\text{ Am}^{2}$, then the value of '$x$' is:

A metallic bar of Young's modulus, $0.5 \times 10^{11}\text{ N m}^{-2}$ and coefficient of linear thermal expansion $10^{-5}\,{}^\circ\text{C}^{-1}$, length $1\text{ m}$ and area of cross-section $10^{-3}\text{ m}^2$ is heated from $0^\circ\text{C}$ to $100^\circ\text{C}$ without expansion or bending. The compressive force developed in it is:

The maximum elongation of a steel wire of $1\text{ m}$ length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^{8}\text{ N m}^{-2}$ and $2 \times 10^{11}\text{ N m}^{-2}$, is:

The velocity $(v)-$ time $(t)$ plot of the motion of a body is shown below:

The acceleration $(a)-$ time $(t)$ graph that best suits this motion is:

A particle is moving along $x$-axis with its position (x) varying with time $(t)$ as $x = \alpha t^4 + \beta t^2 + \gamma t + \delta$. The ratio of its initial velocity to its initial acceleration, respectively, is:

A tightly wound 100 turns coil of radius $10\text{ cm}$ carries a current of $7\text{ A}$. The magnitude of the magnetic field at the centre of the coil is (Take permeability of free space as $4\pi \times 10^{-7}\text{ SI}$ units):

A parallel plate capacitor is charged by connecting it to a battery through a resistor. If $I$ is the current in the circuit, then in the gap between the plates:

Water is used as a coolant in a nuclear reactor because of its

Select the correct statements among the following:

A. Slow neutrons can cause fission in ${}^{235}_{92}\text{U}$ than fast neutrons.

B. $\alpha$-rays are Helium nuclei.

C. $\beta$-rays are fast moving electrons or positrons.

D. $\gamma$-rays are electromagnetic radiations of wavelengths larger than $\text{X}$-rays.

Choose the most appropriate answer from the options given below:

${}^{290}_{82}X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q$

In the nuclear emission stated above, the mass number and atomic number of the product $Q$ respectively, are

The two-dimensional motion of a particle, described by $\vec{r} = (\hat{i}+2\hat{j})A\cos\omega t$ is a/an: A. parabolic path

B. elliptical path

C. periodic motion

D. simple harmonic motion

Choose the correct answer from the options given below:

A particle executing simple harmonic motion with amplitude A has the same potential and kinetic energies at the displacement

If $x = 5\sin\left(\pi t + \frac{\pi}{3}\right)\text{m}$ represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are

If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is $\frac{x}{2}$ times its original time period. Then the value of $x$ is:

A small telescope has an objective of focal length $140\text{ cm}$ and an eye piece of focal length $5.0\text{ cm}$. The magnifying power of telescope for viewing a distant object is:

A light ray enters through a right angled prism at point $P$ with the angle of incidence $30^\circ$ as shown in figure. It travels through the prism parallel to its base $BC$ and emerges along the face $AC$. The refractive index of the prism is:

Given below are two statements:

Statement I: Image formation needs regular reflection and/or refraction.

Statement II: The variety in colour of objects we see around us is due to the constituent colours of the light incident on them.

In the light of the above statements, choose the most appropriate answer from the options given below:

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is $2400\text{ g cm}^{2}$. The length of the $400\text{ g}$ rod is nearly:

The radius of gyration of a solid sphere of mass $5\text{ kg}$ about $XY$ is $5\text{ m}$ as shown in figure. The radius of the sphere is $\frac{5x}{\sqrt{7}}\text{ m}$, then the value of $x$ is:

A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is $v$ in the direction shown, which one of the following options is correct ($P$ and $Q$ are any highest and lowest points on the wheel, respectively)?

A bob is whirled in a horizontal plane by means of a string with an initial speed of $\omega\text{ rpm}$. The tension in the string is $T$. If speed becomes $2\omega$ while keeping the same radius, the tension in the string becomes:

When the output of an OR gate is applied as input to a NOT gate, then the combination acts as a

The output Y for the inputs A and B of the given logic circuit is:

A logic circuit provides the output $Y$ as per the following truth table:

The expression of the output Y is:

The output ( $Y$) of the given logic gate is similar to the output of an/a

The I-V characteristics shown above are exhibited by a

Consider the following statements A and B and identify the correct answer:

A. For a solar-cell, the I-V characteristics lies in the IV quadrant of the given graph. B. In a reverse biased $pn$ junction diode, the current measured in $(\mu\text{A})$, is due to majority charge carriers.

A thin flat circular disc of radius $4.5\text{ cm}$ is placed gently over the surface of water. If surface tension of water is $0.07\text{ N m}^{-1}$, then the excess force required to take it away from the surface is

The following graph represents the $T\text{-}V$ curves of an ideal gas (where $T$ is the temperature and $V$ the volume) at three pressures $P_1, P_2$ and $P_3$ compared with those of Charles's law represented as dotted lines.

Then the correct relation is:

A thermodynamic system is taken through the cycle $abcda$. The work done by the gas along the path $bc$ is:

According to the law of equipartition of energy, the number of vibrational modes of a polyatomic gas of constant $\gamma = \frac{C_p}{C_v}$ is ($C_P$ and $C_V$ are the specific heat capacities of the gas at constant pressure and constant volume, respectively):

The equilibrium state of a thermodynamic system is described by

A. Pressure

B. Total heat

C. Temperature

D. Volume

E. Work done

Choose the most appropriate answer from the options given below.

The potential energy of a particle moving along $x$-direction varies as $V = \frac{Ax^2}{\sqrt{x} + B}$. The dimensions of $\frac{A^2}{B}$ are:

A force defined by $F = \alpha t^2 + \beta t$ acts on a particle at a given time $t$. The factor which is dimensionless, if $\alpha$ and $\beta$ are constants, is:

In an electrical circuit, the voltage is measured as $V = (200 \pm 4)$ volt and the current is measured as $I = (20 \pm 0.2)$ A. The value of the resistance is:

In a vernier callipers, $(N + 1)$ divisions of vernier scale coincide with $N$ divisions of main scale. If $1\text{ MSD}$ represents $0.1\text{ mm}$, the vernier constant (in $\text{cm}$) is:

The pitch of an error free screw gauge is $1\text{ mm}$ and there are 100 divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads $1\text{ mm}$ and $63$rd division on the circular scale coincides with the reference line. The diameter of the wire is:

The quantities which have the same dimensions as those of solid angle are:

The displacement of a travelling wave $y = C\sin\frac{2\pi}{\lambda}(at - x)$ where $t$ is time, $x$ is distance and $\lambda$ is the wavelength, all in S.I. units. Then the frequency of the wave is

An unpolarised light beam strikes a glass surface at Brewster's angle. Then

A beam of unpolarized light of intensity I0 is passed through a polaroid A, then through another polaroid B, oriented at $60^\circ$ and finally through another polaroid C, oriented at 45${}^\circ$ relative to B as shown. The intensity of emergent light is:

Interference pattern can be observed due to superposition of the following waves: A. $y = a\sin\omega t$

B. $y = a\sin 2\omega t$

C. $y = a\sin(\omega t - \phi)$

D. $y = a\sin 3\omega t$

Choose the correct answer from the options given below.