JEE Main 2025 (23 Jan Shift 2)

68 Questions • 75 Minutes • 2025

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A galvanometer having a coil of resistance $30\,\Omega$ need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be $\frac{30}X\,\Omega$, where $X$ is

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A ball having kinetic energy KE, is projected at an angle of $60^\circ$ from the horizontal. What will be the kinetic energy of ball at the highest point of its flight ?

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Two charges $7\,\mu c$ and $-4\,\mu c$ are placed at $(-7\ \mathrm{cm},0,0)$ and $(7\ \mathrm{cm},0,0)$ respectively. Given, $\epsilon_0=8.85\times10^{-12}\ \mathrm{C^2N^{-1}m^{-2}}$, the electrostatic potential energy of the charge configuration is :

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Two point charges $-4\,\mu c$ and $4\,\mu c$, constituting an electric dipole, are placed at $(-9,0,0)$cm and $(9,0,0)$cm in a uniform electric field of strength $10^4\,\mathrm{NC^{-1}}$. The work done on the dipole in rotating it from the equilibrium through $180^\circ$ is :

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A massless spring gets elongated by amount $x_1$ under a tension of 5 N. Its elongation is $x_2$ under the tension of 7 N. For the elongation of $(5x_1-2x_2)$, the tension in the spring will be,

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Water of mass $m$ gram is slowly heated to increase the temperature from $T_1$ to $T_2$. The change in entropy of the water, given specific heat of water is $1\ \mathrm{J\,kg^{-1}K^{-1}}$, is :

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Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is $P_1$. The reading of the pressure gauge falls to $P_2$ when the valve is opened. The speed of water flowing in the pipe is proportional to

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A concave mirror of focal length $f$ in air is dipped in a liquid of refractive index $\mu$. Its focal length in the liquid will be:

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The refractive index of the material of a glass prism is $\sqrt3$. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?

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The width of one of the two slits in Young's double slit experiment is $d$ while that of the other slit is $x\,d$. If the ratio of the maximum to the minimum intensity in the interference pattern on the screen is $9:4$ then what is the value of $x$ ? (Assume that the field strength varies according to the slit width.)

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A plane electromagnetic wave of frequency 20 MHz travels in free space along the $+x$ direction. At a particular point in space and time, the electric field vector of the wave is $E_y=9.3\ \mathrm{Vm^{-1}}$. Then, the magnetic field vector of the wave at that point is

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The equation of a transverse wave travelling along a string is $y(x,t)=4.0\sin\left[20\times10^{-3}x+600t\right]$ mm, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The binding energy per nucleon is found to be practically independent of the atomic number A, for nuclei with mass numbers between 30 and 170. Reason (R): Nuclear force is long range. In the light of the above statements, choose the correct answer from the options given below :

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If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon $=27$ days and gravitational attraction between the satellite and the moon is neglected.

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A circular disk of radius $R$ meter and mass $M$ kg is rotating around the axis perpendicular to the disk. An external torque is applied to the disk such that $\theta(t)=5t^2-8t$, where $\theta(t)$ is the angular position of the rotating disc as a function of time $t$. How much power is delivered by the applied torque, when $t=2$ s ?

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The energy of a system is given as $E(t)=\alpha^3e^{-\beta t}$, where $t$ is the time and $\beta=0.3\ \mathrm s^{-1}$. The errors in the measurement of $\alpha$ and $t$ are 1.2% and 1.6%, respectively. At $t=5$ s, maximum percentage error in the energy is :

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Match List - I with List - II. [table] List - I | List - II ; (A) Permeability of free space | (I) [M L² T⁻²] ; (B) Magnetic field | (II) [M T⁻² A⁻¹] ; (C) Magnetic moment | (III) [M L T⁻² A⁻²] ; (D) Torsional constant | (IV) [L² A] [/table] Choose the correct answer from the options given below :

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In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the work function of the metal is 2.14 eV and stopping potential is 2 V, what is the wavelength of the em-wave ? (Given $hc=1242\,\mathrm{eV\,nm}$ where $h$ is the Planck's constant and $c$ is the speed of light in vaccum.)

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Consider the following reactions $\mathrm{K_2Cr_2O_7}\xrightarrow[-H_2O]{KOH}[A]\xrightarrow[-H_2O]{H_2SO_4}[B]+\mathrm{K_2SO_4}$ The products $[A]$ and $[B]$, respectively are :

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The effect of temperature on spontaneity of reactions are represented as : [table] | ΔH | ΔS | Temperature | Spontaneity ; (A) | + | − | any T | Non spontaneous ; (B) | + | + | low T | spontaneous ; (C) | − | − | low T | Non spontaneous ; (D) | − | + | any T | spontaneous [/table]

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Paper Info

Exam: JEE
Year: 2025
Questions: 68
Duration: 75 mins

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