JEE Main 2025 (22 Jan Shift 1)

67 Questions • 75 Minutes • 2025

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An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity $10^6$ m/s. If the magnitude of the electric field between the plates is 9.1 V/cm, then the vertical component of velocity of electron is (mass of electron $=9.1\times10^{-31}$ kg and charge of electron $=1.6\times10^{-19}$ C)

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Given below are two statements : Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II : The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries. In the light of the above statements, choose the correct answer from the options given below.

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An amount of ice of mass $10^{-3}$ kg and temperature $-10^\circ$C is transformed to vapour of temperature $110^\circ$C by applying heat. The total amount of work required for this conversion is, (Take, specific heat of ice $=2100\,\mathrm{J\,kg^{-1}K^{-1}}$, specific heat of water $=4180\,\mathrm{J\,kg^{-1}K^{-1}}$, specific heat of steam $=1920\,\mathrm{J\,kg^{-1}K^{-1}}$, Latent heat of ice $=3.35\times10^5\,\mathrm{J\,kg^{-1}}$ and Latent heat of steam $=2.25\times10^6\,\mathrm{J\,kg^{-1}}$)

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An electron in the ground state of the hydrogen atom has the orbital radius of $5.3\times10^{-11}$ m while that for the electron in third excited state is $8.48\times10^{-10}$ m. The ratio of the de Broglie wavelengths of electron in the excited state to that in the ground state is

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Given is a thin convex lens of glass (refractive index $\mu$) and each side having radius of curvature $R$. One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the image gets formed on the object itself ?

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A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities $\rho_1$ and $\rho_2$, respectively. The frequency of $9^{th}$ harmonic of closed tube is identical with $4^{th}$ harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is $\rho_1:\rho_2=1:16$, then the length of the open tube is :

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If $B$ is magnetic field and $\mu_0$ is permeability of free space, then the dimensions of $(B/\mu_0)$ is

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Given below are two statements : Statement I : In a vernier callipers, one vernier scale division is always smaller than one main scale division. Statement II : The vernier constant is given by one main scale division multiplied by the number of vernier scale divisions. In the light of the above statements, choose the correct answer from the options given below.

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The work functions of cesium (Cs) and lithium (Li) metals are 1.9 eV and 2.5 eV , respectively. If we incident a light of wavelength 550 nm on these two metal surfaces, then photo-electric effect is possible for the case of

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Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of the bigger body is 400 K . If the energy radiated from the smaller body is E, the energy radiated from the bigger body is (assume, effect of the surrounding temperature to be negligible),

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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) : If Young's double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer. Reason (R) : The speed of light reduces in an optically denser medium than air while its frequency does not change. In the light of the above statements, choose the most appropriate answer from the options given below :

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A parallel-plate capacitor of capacitance $40\,\mu$F is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant $K=2$. Due to the introduction of dielectric material, the extra charge and the change in the electrostatic energy in the capacitor, respectively, are

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Which of the following resistivity ( $\rho$ ) v/s temperature (T) curves is most suitable to be used in wire bound standard resistors?

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Radius of the first excited state of Helium ion is given as : $a_0\to$ radius of first stationary state of hydrogen atom.

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The incorrect statements regarding geometrical isomerism are : (A) Propene shows geometrical isomerism. (B) Trans isomer has identical atoms/groups on the opposite sides of the double bond. (C) Cis-but-2-ene has higher dipole moment than trans-but-2-ene. (D) 2-methylbut-2-ene shows two geometrical isomers. (E) Trans-isomer has lower melting point than cis isomer. Choose the correct answer from the options given below :

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A liquid when kept inside a thermally insulated closed vessel at $25^\circ$C was mechanically stirred from outside. What will be the correct option for the following thermodynamic parameters ?

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Which of the following electronegativity order is incorrect?

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Lanthanoid ions with $4f^7$ configuration are : (A) Eu²⁺ (B) Gd³⁺ (C) Eu³⁺ (D) Tb³⁺ (E) Sm²⁺ Choose the correct answer from the options given below :

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Given below are two statements : Statement I : One mole of propyne reacts with excess of sodium to liberate half a mole of H₂ gas. Statement II : Four g of propyne reacts with NaNH₂ to liberate NH₃ gas which occupies 224 mL at STP. In the light of the above statements, choose the most appropriate answer from the options given below:

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The compounds which give positive Fehling's test are : (A) C₆H₅–CHO (benzaldehyde) (B) C₆H₅–CO–CH₃ (acetophenone) (C) HOCH₂–CO–(CHOH)₃–CH₂–OH (D) CH₃–CHO (E) C₆H₅–CH₂–CHO (phenylacetaldehyde) Choose the correct answer from the options given below :

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Paper Info

Exam: JEE
Year: 2025
Questions: 67
Duration: 75 mins

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