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A parallel plate capacitor of capacitance 40µF is connected to a 100V 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 the dielectric, the extra charge and the change in electrostatic energy in the capacitor respectively are
A parallel plate capacitor of capacitance 40µF is connected to a 100V 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 the dielectric, the extra charge and the change in electrostatic energy in the capacitor respectively are
A uniform circular disc of radius 'R' and mass 'm' is rotating about an axis perpendicular to its plane & passing through its center. A small circular part of radius R/2 is removed from the original disc as shown in the figure. Find the moment of inertia of the remaining part of the original disc about the axis as given above
A uniform circular disc of radius 'R' and mass 'm' is rotating about an axis perpendicular to its plane & passing through its center. A small circular part of radius R/2 is removed from the original disc as shown in the figure. Find the moment of inertia of the remaining part of the original disc about the axis as given above
An electron in the ground state of the hydrogen atom has the orbit radius of 5.3 × 10^-11 m while that for the electron in the third excited state is 8.48 × 10^-10 m. The ratio of the de-Broglie wavelength of electron in the ground state to that in the excited state is
An electron in the ground state of the hydrogen atom has the orbit radius of 5.3 × 10^-11 m while that for the electron in the third excited state is 8.48 × 10^-10 m. The ratio of the de-Broglie wavelength of electron in the ground state to that in the excited state is
Find the dimensions of μ₀/ε₀
Find the dimensions of μ₀/ε₀
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A solid sphere of mass M, radius R exerts force F on a point mass. Now a concentric spherical mass is removed. What is the new force?
A solid sphere of mass M, radius R exerts force F on a point mass. Now a concentric spherical mass is removed. What is the new force?
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Given below are two statements: one is labelled as Statement I and the other is labelled as Reason R.
Statement I- In a Vernier Caliper’s, one Vernier scale division is 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.
Given below are two statements: one is labelled as Statement I and the other is labelled as Reason R. Statement I- In a Vernier Caliper’s, one Vernier scale division is 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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A bob of mass m is suspended at a point ‘O’ by a light string of length ‘l’ and left to perform vertical motion (circular) as shown in the figure. Initially, by applying horizontal velocity V₀ at the point ‘A’, the string becomes slack when the bob reaches at the point ‘D’. The ratio of the K.E of the bob at the points B and C is
A bob of mass m is suspended at a point ‘O’ by a light string of length ‘l’ and left to perform vertical motion (circular) as shown in the figure. Initially, by applying horizontal velocity V₀ at the point ‘A’, the string becomes slack when the bob reaches at the point ‘D’. The ratio of the K.E of the bob at the points B and C is
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Ice at −10°C is to be converted into steam at 110°C. Mass of ice is 10^-3 kg. What amount of heat is required?
Ice at −10°C is to be converted into steam at 110°C. Mass of ice is 10^-3 kg. What amount of heat is required?
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Given is a thin convex lens of glass (refractive index μ) and each slope having radius of curvature R. One side is polished for complete reflection. At what distance from the lens, an object be placed and the optic axis so that the image sets formed on the object itself?
Given is a thin convex lens of glass (refractive index μ) and each slope having radius of curvature R. One side is polished for complete reflection. At what distance from the lens, an object be placed and the optic axis so that the image sets formed on the object itself?
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An electron is made to enter symmetrically between two parallel and equal 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 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 × 10^-31 kg, and charge of electron = 1.6 × 10^-19C).
An electron is made to enter symmetrically between two parallel and equal 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 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 × 10^-31 kg, and charge of electron = 1.6 × 10^-19C).
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The work functions of Cesium (Cs) and Lithium metals are 1.9eV & 2.5 CV, 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
The work functions of Cesium (Cs) and Lithium metals are 1.9eV & 2.5 CV, 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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A closed organ and an open organ tube are filled by two different gases having the same bulk modulus but different densities ρ₁ and ρ₂, respectively. The frequency of the 9th harmonic of closed tube is identical with the 4th harmonic of the open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is ρ₁:ρ₂ = 1:16, then the length of the open tube is:
A closed organ and an open organ tube are filled by two different gases having the same bulk modulus but different densities ρ₁ and ρ₂, respectively. The frequency of the 9th harmonic of closed tube is identical with the 4th harmonic of the open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is ρ₁:ρ₂ = 1:16, then the length of the open tube is:
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A small point of mass m is placed at a distance 2R from the center of a big uniform solid sphere of mass ‘m’ and radius R. The gravitational force on ‘m’ due to ‘m’ is F1. A spherical part of radius R/3 is removed from the big sphere as shown in the figure and the gravitational force on m due to remaining part of m is found to be F2. The value of ratio F1:F2 is
A small point of mass m is placed at a distance 2R from the center of a big uniform solid sphere of mass ‘m’ and radius R. The gravitational force on ‘m’ due to ‘m’ is F1. A spherical part of radius R/3 is removed from the big sphere as shown in the figure and the gravitational force on m due to remaining part of m is found to be F2. The value of ratio F1:F2 is
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The correct decreasing order of electronegativity is
The correct decreasing order of electronegativity is
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Which of the following has maximum size out of Al³⁺, Mg²⁺, F⁻, Na⁺
Which of the following has maximum size out of Al³⁺, Mg²⁺, F⁻, Na⁺
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CO₂(g) + C(s) <=> 2CO(g). If initial pressure of CO₂ is 0.6 atm and after equilibrium is established, total pressure is 0.8 atm. Then, find Kp.
CO₂(g) + C(s) <=> 2CO(g). If initial pressure of CO₂ is 0.6 atm and after equilibrium is established, total pressure is 0.8 atm. Then, find Kp.
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Statement-I: CH₃-CH₂-Cl will show nucleophilic substitution by SN1 mechanism in protic medium.
Statement-II: CH₃-C(CH₃)-CH₂-Cl will not undergo nucleophilic substitution via SN2 mechanism easily.
Statement-I: CH₃-CH₂-Cl will show nucleophilic substitution by SN1 mechanism in protic medium. Statement-II: CH₃-C(CH₃)-CH₂-Cl will not undergo nucleophilic substitution via SN2 mechanism easily.
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An electron of He⁺ is present in 3rd excited state. Find its de-Broglie wavelength
An electron of He⁺ is present in 3rd excited state. Find its de-Broglie wavelength
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Given: NH₂COONH₄(s) <=> 2NH₃(g) + CO₂(g). If the partial pressure of CO₂ gas at equilibrium is 0.4 atm and the total pressure is 1 atm, the value of Kp at the same temperature is
Given: NH₂COONH₄(s) <=> 2NH₃(g) + CO₂(g). If the partial pressure of CO₂ gas at equilibrium is 0.4 atm and the total pressure is 1 atm, the value of Kp at the same temperature is
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In a closed insulated container, a liquid is stirred with a paddle to increase the temperature which of the following is true?
In a closed insulated container, a liquid is stirred with a paddle to increase the temperature which of the following is true?
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Study Notes
JEE Main - 22nd January 2025 (Shift 1) - Physics
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Parallel Plate Capacitor: A 40µF capacitor, connected to a 100V supply, has a dielectric material (k=2) inserted between the plates. The extra charge and change in electrostatic energy are 4mC and 0.2J, respectively.
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Circular Disc Moment of Inertia: A uniform circular disc of radius R and mass m has a smaller circular part of radius R/2 removed. The moment of inertia of the remaining part about an axis perpendicular to its plane and passing through the center is 13/32 mR².
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Electron in Hydrogen Atom: The ratio of de Broglie wavelengths of an electron in the ground state to the third excited state of a hydrogen atom is 4.
JEE Main - 22nd January 2025 (Shift 1) - Physics Additional Questions
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Dimensions of μ₀: The dimensions of the permeability constant (μ₀) are [AL⁻¹].
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Force on Point Mass Due to Solid Sphere: A solid sphere of mass M and radius R exerts a force F on a point mass. If a concentric spherical shell of the same radius is removed, the new force is 3F/7.
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Vernier Caliper Statements: Statement I - A Vernier scale division is smaller than a main scale division. Statement II- The Vernier constant is given by one main scale division multiplied by the number of Vernier scale divisions. Statement I is true, but Statement II is incorrect in its explanation.
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Bob's Kinetic Energy Ratio: A bob of mass m, suspended by a string of length l, is given an initial horizontal velocity v₀ at point A. The ratio of the kinetic energies of the bob at points B and C is 2.
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Ice to Steam Conversion: Converting 10⁻³ kg of ice at -10°C to steam at 110°C requires 900 calories of heat.
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Lens Image Formation: An object placed at a distance (R/(2µ-1)) from a thin convex lens, with one side polished for reflection, will have its image coincide with the object itself.
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Electron Velocity in Electric Field: An electron, entering symmetrically between two parallel charged plates of length 10 cm, has a horizontal component of velocity 10 m/s after exiting. The vertical component of its velocity is 16 x 10⁶ m/s.
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Photoelectric Effect: The photoelectric effect is possible for cesium (Cs) but not lithium (Li) when light of 550nm wavelength is incident.
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Organ Tube Frequencies: The length of a closed organ tube with a density ratio of 1:16 of open organ tube is 15/9cm.
JEE Main - 22nd January 2025 (Shift 1) - Chemistry
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Lanthanide Ion Electrons: Gd³⁺ has 7 electrons in the outermost shell.
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Linear Compounds: The number of linear compounds from the given list (NO₂, O₃, OF₂, NO₂, BeCl₂, N₃, SO₃, CO₂, XeF₂) is 4.
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Percentage of Chlorine: In an organic compound with a mass of 180g, if 143.5g of AgCl precipitates, the percentage of Cl is 35.20%.
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Electrolysis of H₂SO₄: Electrolysis of concentrated H₂SO₄ yields H₂S₂O₈ .
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Electronegativity Order: Incorrect order: Al < Mg < B < N
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Radioactive Decay: Decay constant does not depend on temperature.
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Boiling Point Order: Increasing boiling points: 10⁻⁴ NaCl < 10⁻³ NaCl < 10⁻² NaCl < 10⁻⁴ Urea.
JEE Main - 22nd January 2025 (Shift 1) - Mathematics
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Triangle Image: If triangle PQR is the image of triangle (1,3), (3,1) (2,4) in line x + 2y=2, then 15(α - β) = 22, where (α, β) is the centroid of triangle PQR.
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Probability of Two Black Balls: The probability that the first selected ball is black given that the second selected ball is black from a bag containing 4 white and 6 black balls is 6/9.
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Alphabetical Order Arrangement: If 5 letters are chosen from the English alphabet and arranged alphabetically, the number of ways to place the central/middle letter as M is 5148.
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Sum of Trigonometric Terms: The sum of the maximum and minimum values of 16(sec⁻¹x)²+ (cosec⁻¹x)² is 17π².
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Area Inside Circle and Parabola: The area inside the circle (x – 2√３)² + y²= 12 and parabola y² = -３x/2 is 16/11 - 4π
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Differential Equation Solution: The solution to the equation y²dx + 12/x dy = 0, where x(1) = 1, is x(y) = 1/3 + e⁻³y/2.
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Set A and B Intersection: If A ={1,2,...10} and B ={m < n, m,n ∈ A }, and gcd(m,n) = 1, then n(B) = 36.
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Description
Test your understanding of key physics concepts for the JEE Main exam on January 22, 2025. This quiz covers topics such as capacitors, moment of inertia, and hydrogen atom physics. Challenge your knowledge with problems and additional questions to improve your preparation.
