Class 11 — Physics
Which one of the following statements is incorrect?
In a vernier calliper, 20 VSD coincide with 16 MSD (each division of length 1 mm). The least count of the vernier calliper is:
The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in the new unit is:
Each side of a metallic cube of mass 5.580 kg is measured to be 9.0 cm. Keeping the significant figures in view, the density of the material of the cube can be best expressed as X × 10³ kg m⁻³, where the value of X is:
Let $\sigma_s$, $k_B$ and $b$ represent the Stefan–Boltzmann constant, Boltzmann constant and Wien's displacement-law constant respectively. The dimension of $\sigma_s\,k_B^{-1}\,b$ is:
Which of the following measurements requires ‘index correction’?
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Download MedicNEET App — FreeA thin horizontal disc rotates about a vertical axis passing through its fixed centre $O$. Its angular momentum is $L_A$ and $L_B$ when computed about points $A$ and $B$ respectively, where $OB=2\times OA$. The value of $\dfrac{L_A}{L_B}$ is:

A frictionless circular wire of unit radius lies in a horizontal plane. Two point particles of unit mass start simultaneously from $A\,(\theta=\tfrac{\pi}{2})$ with identical uniform angular speeds in opposite directions and meet again at $B\,(\theta=-\tfrac{\pi}{2})$. Which figure best represents the magnitude of the total linear momentum $P$ of the system as a function of $\theta$?

A flywheel's angular speed increases uniformly from 600 rpm to 1200 rpm in 10 s. The number of revolutions completed in this time is:
A solid sphere $A$ of radius $R$ and mass $M$ is attached at a point to a smaller solid sphere $B$ of radius $r<R$ and mass $m<M$, their line of centres horizontal. The moment of inertia of the system about a vertical axis through the centre of $A$ is $I_A$, and about a vertical axis through the centre of $B$ is $I_B$. The difference $I_A-I_B$ is:

A thin wire of length L and linear mass density m (mass per unit length) is bent into a circular ring lying in the x-y plane with centre C. The moment of inertia of the ring about a tangential axis yy' lying in the plane of the ring is:

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Download MedicNEET App — FreeConsider a spring-mass simple harmonic oscillator in one dimension. The mass of the particle is $m\,$kg and the spring constant is $k\,\text{Nm}^{-1}$. At a given instant the extension of the spring is $x$ m and the speed of the particle is $v\,\text{ms}^{-1}$. On the $x$–$v$ plane, if the graph of $v$ as a function of $x$ is a circle, then the correct option is:
A cylindrical cork of uniform density floats in a liquid of density $\rho_1$. When depressed slightly and released it oscillates harmonically with time period $T$. If the same cork floats in another liquid of density $\rho_2$, the oscillation has period $2T$. The value of $\dfrac{\rho_2}{\rho_1}$ is:
For a simple pendulum having time period T, the variation of kinetic energy (K.E.) with time (t) is represented by

The sum of the kinetic energy and potential energy of a simple pendulum bob is 0.02 J. The speed of the bob at its equilibrium position is approximately (mass of the bob = 20 g)
Savitha, a Class XI student, performs an experiment to find the effective length L of a simple pendulum. She records the time for 30 oscillations as 60 s. The length she calculates is (take π² = 9.8 and g = 9.8 m/s²)
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Download MedicNEET App — FreeA particle of mass $M$ moves along a horizontal $x$-axis from $x=0$ to $x=L$. The coefficient of kinetic friction varies as $\mu_k(x)=\mu_0-\alpha x$, where $\mu_0,\alpha$ are constants of appropriate dimensions, so that $\mu_k(L)=0$. The total work done by the frictional force during the motion is $n\mu_0 MgL$. The value of $n$ is:
A bob $B$ of mass $m$ hangs at rest vertically from the ceiling by a massless string of length $10\,$m. A point mass $A$ of mass $m$ travelling horizontally with speed $10\,\text{ms}^{-1}$ hits bob $B$ elastically. The bob $B$ rises $h$ metre after the collision. Taking $g=10\,\text{ms}^{-2}$ and neglecting the size of the bob, the value of $h$ is:

The sum of the kinetic energy and potential energy of a simple pendulum bob is 0.02 J. The speed of the bob at the equilibrium position is approximately (mass of the bob = 20 g)
The power of a crane, which lifts a mass of 1000 kg to a height of 20 m in 10 s, is (g=9.8 m/s²)
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Download MedicNEET App — FreeWhich one of the following statements is incorrect?
A box of mass 15 kg is kept on the floor of a stationary trolley. The coefficient of static friction between the box and the trolley is 0.12. Keeping the box stationary relative to the trolley, the maximum horizontal acceleration with which the trolley can be moved is (g = 10 m/s²):
A car travels on a circular racetrack of radius $50\,$m, banked at angle $\theta$. If the car travels at a speed $10\,\text{ms}^{-1}$, the wear and tear on its tyres is minimum. Taking $g=10\,\text{ms}^{-2}$, the value of $\theta$ is:
The magnitude and direction of the acceleration produced in a body of mass 5 kg when two mutually perpendicular forces 8 N and 6 N act on it are, respectively:
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Download MedicNEET App — FreeThe work done to raise a mass m from the surface of the earth to a height h equal to the radius of the earth R is:
The work done to raise a mass m from the surface of the earth to a height equal to the radius of the earth R is:
In a solar system, the time-period of revolution of a planet tracing a circular orbit of radius $R$ is proportional to:
Two planets $P_1$ and $P_2$ with equal mass have radii $R_1$ and $R_2$ respectively, where $R_2=\tfrac{R_1}{2}$. The escape speeds of $P_1$ and $P_2$ are $v_1$ and $v_2$ respectively. Then $\tfrac{v_2}{v_1}$ is:
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Download MedicNEET App — FreeOne mole of an ideal monatomic gas undergoes a cyclic process shown in the figure (rectangle $a\to b\to c\to d$ in the $P$–$V$ plane, with $P$ in N m$^{-2}$ between $100$ and $300$, and $V$ in m$^3$ between $2$ and $5$). The total heat supplied to the gas is:

An electric heater supplies heat to a system at a rate of $100$ W. If the system performs work at a rate of $75$ J/s, the rate at which internal energy increases is
At a certain temperature, during a process, $500$ J is absorbed by the system and $200$ J of work is done by the system. The change in internal energy of the system is
In an adiabatic expansion, the temperature of one mole of an ideal monatomic gas ($\gamma=5/3$) decreases from $60\,$K to $50\,$K. The work done by the gas in the process is: [Take $R=8.3\,\text{J mol}^{-1}\text{K}^{-1}$]
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Download MedicNEET App — FreeA particle moves along a straight line with position $s(t)=\alpha t^2-\beta t+\gamma$, where $\alpha=1\,\text{ms}^{-2}$, $\beta=6\,\text{ms}^{-1}$, $\gamma=5\,\text{m}$. The average speed of the particle (in $\text{ms}^{-1}$) from $t=0$ to $t=6\,\text{s}$ is:
A ball is thrown vertically upward and falls back to the thrower. Which velocity (v)-time (t) graph correctly represents its motion? (upward taken positive)

A ruler is dropped vertically and five persons try to catch it. Their reaction times are A = 0.20 s, B = 0.22 s, C = 0.18 s, D = 0.19 s and E = 0.21 s. The correct order of the distance travelled by the ruler before being caught by each person is:
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Download MedicNEET App — FreeThe mean free path of molecules in an ideal gas $A$ is half that of another ideal gas $B$. The diameter of the spherical molecules of gas $A$ is twice the diameter of the molecules of $B$. If the number densities of gases $A$ and $B$ are $n_A$ and $n_B$ respectively, the correct option is:
An ideal gas is made of polyatomic molecules. Each molecule has three translational, three rotational and $f$ vibrational modes. If the ratio of heat capacities $C_P/C_V$ of the gas is $8/7$, then the value of $f$ is:
A flask contains argon and chlorine in the ratio of 2 : 1 by mass. The temperature of the mixture is 27 °C. The ratio of root mean square speeds of the molecules of the two gases (v_rms^Ar / v_rms^Cl) is: (Atomic mass of argon = 40.0 u and molecular mass of chlorine = 70.0 u)
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Download MedicNEET App — FreeWater flows in streamline motion through a horizontal pipe of circular cross-section as shown. The pressure difference of water between $P$ and $Q$ is $15\,\text{Nm}^{-2}$. The areas of cross-section at $P$ and $Q$ are $40\,\text{cm}^2$ and $20\,\text{cm}^2$ respectively. The rate of flow of water through the pipe (in $\text{cm}^3\text{s}^{-1}$) is: [density of water $=1000\,\text{kg m}^{-3}$]

A submarine is designed to withstand an absolute pressure of 100 atm. How deep can it go below the water surface? (density of water = 1000 kg m⁻³, 1 atm = 1 × 10⁵ Pa, g = 10 m s⁻²)
In the measurement of viscosity of liquids using the terminal velocity experiment, spherical balls of the same radius but different densities are used. The variation of the terminal velocity $v$ with the ratio of the density of the spherical ball ($\sigma$) to the density of the liquid ($\rho$), $\sigma/\rho$, is best represented by:

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Download MedicNEET App — FreeFor a travelling harmonic wave y(x, t) = 2.0 cos[2π(10t − 0.0080x + 0.35)], where x and y are in cm and t in s, the phase difference between the oscillatory motion of two points separated by 0.5 m is:
For sound waves, if the number of nodes for the $5^{\text{th}}$ harmonic of an open-ended pipe is $n$ and that for the $9^{\text{th}}$ harmonic of the same pipe with one of its ends closed is $m$, the ratio $\tfrac{n}{m}$ is:
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Download MedicNEET App — FreeThe magnitude and direction of the acceleration produced in a body of mass 5 kg when two mutually perpendicular forces 8 N and 6 N act on it are respectively:
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Download MedicNEET App — FreeMatch List I with List II. List I: A. Young's Modulus, B. Compressibility, C. Bulk Modulus, D. Poisson's Ratio. List II: I. (Δd/d)/(ΔL/L), II. FL/(A.ΔL), III. -(1/V)(ΔV/P), IV. -V.P/ΔV. Choose the correct answer.
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Download MedicNEET App — FreeThe temperature of a metallic sphere of radius $R$ is increased by a small amount $\Delta T$. If the linear coefficient of thermal expansion of the metal is $\alpha$, the approximate increase in the volume of the sphere is:
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Download MedicNEET App — FreeClass 12 — Physics
A unit positive point charge is taken slowly through an infinitesimally thin tube inside a charged dielectric sphere of radius $R$ having uniform positive charge density $\rho$. The initial and final positions $A$ and $B$ are at distances $2R$ and $3R$ from the centre. In this process the magnitude of the total work done on the point charge is $\dfrac{\rho R^2}{n\varepsilon_0}$. The value of $n$ is: ($\varepsilon_0$ = permittivity of vacuum)

A point charge $Q$ is placed inside a cavity within a solid isolated conducting sphere. Consider points $A$ (inside cavity), $B$ and $C$ (outside the sphere, equidistant from its centre) with field magnitudes $E_A,E_B,E_C$. The correct option is:

Five capacitors of capacitances C1 = C² = C3 = C4 = 10 uF and C5 = 2.5 uF are connected as shown, along with a battery of 50 V. The equivalent capacitance and the charges on each capacitor respectively are:

Which of the following statements are correct? A. Inside a conductor, the electrostatic field is zero. B. Electric field at the surface of a charged conductor does not depend on its surface charge density. C. The interior of a charged conductor can have no excess charge in the static situation. D. At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point. E. The electrostatic potential is zero everywhere inside a charged conductor.
Three identical capacitors $P$, $Q$ and $S$, each of capacitance $C$, are connected to a battery of voltage $V$ as shown. If the energy stored in capacitor $P$ is $U_P$ and the total energy stored in the system is $U_T$, then the ratio $\tfrac{U_P}{U_T}$ is:

A fixed uniformly charged insulating sphere of radius $R$ has total charge $+Q$. A point charge $-q$ ($q\ll Q$, mass $m$) is released from rest at a distance $3R$ from the centre. When it reaches the surface of the sphere, its speed is: ($\varepsilon_0$ = permittivity of vacuum; neglect gravity)
Consider two uncharged capacitors of equal capacitance 200 pF. One of them is charged by a 100 V supply and disconnected. Now this capacitor is connected to the uncharged capacitor. The amount of electrostatic energy lost in the process is:
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Download MedicNEET App — FreeTwo statements are given below: A. When the forward bias voltage across a p-n junction diode increases above a certain threshold voltage, the diode current increases significantly. B. This current is called reverse saturation current. Choose the correct answer from the options given below:
Three identical p-n junction diodes $D_1$, $D_2$ and $D_3$ are connected across a battery as shown (each in series with a $1\,$k$\Omega$ resistor). If the widths of the depletion regions of $D_1$, $D_2$, $D_3$ are $W_1$, $W_2$, $W_3$ respectively, then the correct option is:

In the circuit shown below (an a.c. source in series with a diode D and a resistor R), the voltage appearing across the diode D will be of the form:
An ideal Zener diode with breakdown voltage of $-3\,$V is reverse biased with a negative input voltage $V_i=-5\,$V. In the circuit shown ($C$–[Zener]–$B$–$R$–$A$), the magnitude of the voltage difference between points $B$ and $A$ is:

The current I in the circuit shown below is: (All diodes are ideal and identical)
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Download MedicNEET App — FreeA 100-turn closely wound circular coil of radius 5 cm has a magnetic field of 3.14 × 10⁻³ T at its centre. The current flowing through the coil, and the magnitude of the magnetic moment of this coil are, respectively: (Take μ₀ = 4π × 10⁻⁷ T m/A)
A galvanometer of resistance 100 Ω gives full scale deflection for a current of 1 mA. It is converted into an ammeter of range 0 – 10 A. The shunt required is:
The figure shows a long straight solid wire of circular cross-section of radius 'a' carrying steady current I. The current I is uniformly distributed across its cross-section. The plot which correctly represents the variation of magnetic field (B) with distance (r) from the axis of the conductor is:

Two infinitely long parallel conducting wires $A$ and $B$ carry currents $I$ and $2I$ respectively in the same direction. Wire $A$ has uniform mass per unit length $\lambda$ and lies on an insulated floor. Wire $B$ is kept fixed at a height $h$ above the floor. The minimum magnitude of $h$ so that wire $A$ does not rise from the floor is: [$g$ = acceleration due to gravity, $\mu_0$ = permeability of free space]
A current $I_0$ flows through a metallic circular loop of radius $r$. The resistance of segment $ABC$ is half that of $ADC$. The magnitude of the magnetic field at the centre $O$ of the loop is:

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Download MedicNEET App — FreeA resistor is connected to a battery of emf 12 V and internal resistance 2 $\Omega$. If the current is 0.6 A, the terminal voltage of the battery is:

Consider two circuits A and B, each with two resistors. One resistor has a positive temperature coefficient $+\alpha$ and the other $-\alpha$. In circuit A the two are in series; in circuit B they are in parallel, across the same battery. At the initial temperature each resistance is $R_0$. As temperature increases, the correct statement about the currents $I_A$ and $I_B$ is:

In a metre bridge experiment, the positions of the cell E and galvanometer G are interchanged. In the galvanometer we shall observe:

A room heater is rated 400 W, 220 V. If the supply voltage drops to 200 V, the power consumed (approximately) is:
A uniform metallic wire of resistance 4 $\Omega$ is bent to form a square loop ABCD. A resistance of 2 $\Omega$ is connected between B and D, and a battery of 2 V across A and C. The value of current i is:

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Download MedicNEET App — FreeA beam of light falls on a metal surface such that photo-electrons are generated. If the power of the light source starts to decrease linearly with time $t$, then the variation of the photocurrent $I$ and the magnitude of the stopping potential $|V|$ with time is best represented by:

A ray of light of wavelength $\lambda$ is incident on three photoelectric cells $1,2,3$ with threshold wavelengths $\lambda_1,\lambda_2,\lambda_3$ and stopping potentials $V_1,V_2,V_3$ respectively. Given $\lambda_1<\lambda,\ \lambda_2>\lambda,\ \lambda_3\gg\lambda$, the correct option is:
A photon and an electron, each of $20\,$eV energy, move in free space. The ratio of the linear momentum of the electron $p_e$ to that of the photon $p_{ph}$, $\dfrac{p_e}{p_{ph}}$, is: [speed of light $=3\times10^8\,\text{ms}^{-1}$, $e=1.6\times10^{-19}\,$C, $m_e=9\times10^{-31}\,$kg]
For a metal of work function 6.6 eV, which of the following wavelengths of incident radiation does NOT give rise to the photoelectric effect? (Take Planck's constant as 6.6 × 10⁻³⁴ J·s)
Match List I with List II. List-I: A. E = hν B. Diffraction and interference C. λ = h/p D. Compton effect List-II: I. de Broglie wavelength II. Particle nature of light III. Wave nature of light IV. Energy of photon Choose the correct answer from the options given below:
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Download MedicNEET App — FreeThree media $P$, $Q$ and $R$ have refractive indices $1$, $1.25$ and $1.5$ respectively. Medium $Q$ of thickness $5\,$cm is placed between extended media $P$ and $R$. An object $O$ is at the centre of $Q$. Viewed from $P$ (near normal) the apparent depth of $O$ is $h_1$; viewed from $R$ the apparent depth is $h_2$. The value of $|h_1-h_2|$ (in cm) is:

A ray of monochromatic light is passing through an equilateral prism (ABC) as shown in the figure. The refracted ray (QR) is parallel to its base (BC) and the angle of incidence (i) is 50°. Then the angle of deviation (δ) is:

In a concave lens, a ray of light emanating from the object parallel to the principal axis of the lens, after refraction:
The lens combination shown consists of two lenses $L_1$ (focal length $+10\,$cm) and $L_2$ (focal length $-10\,$cm). An object $O$ is placed $30\,$cm to the left of $L_1$, and $L_2$ is $3\,$cm to the right of $L_1$. The position of the image formed is:

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Download MedicNEET App — FreeA rectangular wire loop of sides 8 cm and 3 cm with a small cut, is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the plane of the loop. The emf developed across the cut, if the velocity of the loop is 2 cm s⁻¹, in a direction normal to the shorter side of the loop, will be:

A conducting loop of finite resistance lies in the $x$–$y$ plane in a constant magnetic field along $z$. The area of the loop varies with time as $A=A_0(1+\sin t)$. The figure that correctly indicates the qualitative behaviour of the power $P$ dissipated in the loop as a function of time is:

Consider a long solenoid of length $l$ and radius $r$. If $n$ is the number of turns per unit length and $\mu_0$ the permeability of free space, the inductance of the solenoid is:
Two identical inductors are connected in two different configurations $P$ (series) and $Q$ (parallel), where a time-varying current $I(t)$ flows, as shown. The induced emf between points $a$ and $b$ for configuration $P$ is $E_P$ and for $Q$ is $E_Q$. The ratio $E_P/E_Q$ is: [Neglect mutual inductance.]

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Download MedicNEET App — FreeIn the Geiger–Marsden experiment, the number of scattered $\alpha$-particles $N(\theta)$ is plotted as a function of scattering angle $\theta$. Which option represents the correct plot?

In the first excited state of hydrogen atom, the energy of its electron is –3.4 eV. The radial distance of the electron from the hydrogen nucleus in this case is approximately: (Take 1 eV = 1.6 × 10⁻¹⁹ J, e = 1.6 × 10⁻¹⁹ C and 1/(4πε₀) = 9 × 10⁹ N m²/C²)
An electron is revolving in an excited state of a Hydrogen atom with velocity $\sqrt{25.6}\times10^{5}\,\text{ms}^{-1}$. The radius of the orbit is $x\times10^{-9}\,$m. The value of $x$ is: [$m_e=9\times10^{-31}\,$kg, $e=-1.6\times10^{-19}\,$C, $\dfrac{1}{4\pi\varepsilon_0}=9\times10^{9}\,\text{Nm}^2\text{C}^{-2}$]
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Download MedicNEET App — FreeAn electromagnetic wave travelling in a lossless dielectric medium of dielectric constant $\varepsilon_r=9$ has electric field $E_x=E_0\sin(kz-2\pi\times10^{6}t)\,\text{Vm}^{-1}$, where $E_0$ is the amplitude and $k$ the wave vector. Among the following, the INCORRECT choice is:
Match List I (Electromagnetic wave) with List II (Production) and choose the correct match. List I (A) Microwave (B) Visible light (C) Gamma rays (D) Infrared List II (I) Electron transitions in atoms (II) Radioactive decay (nuclear transitions) (III) Vibration of atoms and molecules (IV) Klystron or magnetron valve Choose the correct match:
Match List-I with List-II: List-I P. Microwave Q. UV rays R. Gamma rays S. Radio wave List-II I. For purifying the water II. For warming the food III. For AM and FM communication systems IV. For treating the cancer cells The correct option is:
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Download MedicNEET App — FreeThe peak value of an alternating current is 5 A and frequency is 60 Hz. How long will the current, starting from zero, take to reach the peak value?
An ac voltage $V=220\sin(2\times10^{3}t)\,$V is applied to a series LCR circuit. The current amplitude in the circuit is: [$L=10\,$mH, $C=25\,\mu$F, $R=100\,\Omega$]
An ac circuit contains a resistance of 1 kΩ, a capacitor of 0.1 μF and an inductor of 1 mH connected in series. The resonance frequency of the circuit is approximately:
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Download MedicNEET App — FreeIn interference and diffraction, light energy is redistributed. If it reduces in one region, producing a dark fringe, it increases in another region, producing a bright fringe. A. As there is no gain or loss of energy, these phenomena are consistent with the principle of conservation of energy. B. Diffraction and interference are characteristics exhibited only by light waves. Choose the correct answer.
In Young's double slit experiment, using monochromatic light of wavelength λ, the intensity of light at a point on the screen where the path difference is λ is K units. The intensity of light at a point where the path difference is λ/3 will be
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Download MedicNEET App — FreeWhich of the following statements are correct? A. Inside a conductor, the electrostatic field is zero. B. Electric field at the surface of a charged conductor does not depend on its surface charge density. C. The interior of a charged conductor can have no excess charge in the static situation. D. At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point. E. The electrostatic potential is zero everywhere inside a charged conductor.
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