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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 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 dielectric the extra charge and the change in electrostatic energy in the capacitor respectively are
- 8 mC and 2J
- 2 mC and 0.4J
- 2 mC and 0.2 J
- 4 mC and 0.2J (correct)
A uniform circular disc of radius 'R' and mass 'm' is rotating about an axis perpendicular to it's plane & passing through it's center. A small circular part of radius R/2 is removed from the original disc as shown in the figure. Find 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 it's plane & passing through it's center. A small circular part of radius R/2 is removed from the original disc as shown in the figure. Find moment of inertia of the remaining part of the original disc about the axis as given above.
- 17/32 mR^2
- 15/32 mR^2
- 3/32 mR^2
- 13/32 mR^2 (correct)
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 third excited state is 8.48 × 10^-10 m. The ratio of the de-Broglie wavelength is 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 third excited state is 8.48 × 10^-10 m. The ratio of the de-Broglie wavelength is of electron in the ground state to that in the excited state is
- 3
- 4 (correct)
- 9
- 16
Find the dimensions of μ0/ε0
Find the dimensions of μ0/ε0
Solid sphere of mass M, radius R exerts force F on a point mass. Now a concentric spherical mass is removed. What is new force?
Solid sphere of mass M, radius R exerts force F on a point mass. Now a concentric spherical mass is removed. What is new force?
Given below are two statements: one is labelled as Statement I and the other is labelled as Statement II.
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.
Given below are two statements: one is labelled as Statement I and the other is labelled as Statement II. 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.
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 figure. Initially by applying horizontal velocity Vo 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 figure. Initially by applying horizontal velocity Vo 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
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?
Given is a thin convex lens of glass (refractive index µ) and each slop having radius of carvature 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 slop having radius of carvature 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?
An electron is made to enter symmetrically b/w two parallel and equal opposite charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity 10m/s. if the magnitude of the electric field between the plates is 9.1V/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 b/w two parallel and equal opposite charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity 10m/s. if the magnitude of the electric field between the plates is 9.1V/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).
The work functions of cesium (Cs) and lithium metals are 1.9eV & 2.5 CV, respectively. If we incident a light of wave length 550 nm on these two metal surface, 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 wave length 550 nm on these two metal surface, then photo-electric effect is possible for the case of
A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities p1 and p2, respectively. The frequency of 9th harmonic of closed tube is identical with 4th harmonic of open tube. If the length of the closed tube is 10cm and the density ratio of the gases is p1:p2 = 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 same bulk modulus but different densities p1 and p2, respectively. The frequency of 9th harmonic of closed tube is identical with 4th harmonic of open tube. If the length of the closed tube is 10cm and the density ratio of the gases is p1:p2 = 1:16, then the length of the open tube 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 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 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
Two spherical black bodies of the radii 0.2cm and 0.4cm are at temperature 400K and 800K respectively. If the energy radiator by small body is E then energy radiated by large body is
Two spherical black bodies of the radii 0.2cm and 0.4cm are at temperature 400K and 800K respectively. If the energy radiator by small body is E then energy radiated by large body is
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.
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.
Find current in the circuit. Jockey is at middle point on 1Ω
Find current in the circuit. Jockey is at middle point on 1Ω
Which of the following lanthanide ion as 7 electrons in the outer most shell
Which of the following lanthanide ion as 7 electrons in the outer most shell
Number of linear compounds ?
Number of linear compounds ?
Given the weight of the organic compound. 180 g and the weight of the precipitated 143.5 g. Calculate the percentage of Cl in the organic compound ? [wt of Cl = 35.5 g, wt of Ag = 108 g].
Given the weight of the organic compound. 180 g and the weight of the precipitated 143.5 g. Calculate the percentage of Cl in the organic compound ? [wt of Cl = 35.5 g, wt of Ag = 108 g].
Electrolysis of which compound give H2S2O8
Electrolysis of which compound give H2S2O8
Flashcards
Capacitance
Capacitance
The ability of a material to store electrical energy by accumulating electric charge. Measured in Farads (F).
Dielectric Constant (k)
Dielectric Constant (k)
The ratio of the electric field strength in a vacuum to the electric field strength in the dielectric material.
Extra Charge
Extra Charge
The increase in charge stored in a capacitor when a dielectric material is introduced between its plates.
Change in Electrostatic Energy
Change in Electrostatic Energy
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Moment of Inertia
Moment of Inertia
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De Broglie Wavelength
De Broglie Wavelength
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Orbit Radius in Hydrogen Atom
Orbit Radius in Hydrogen Atom
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Permeability of Free Space (μ0)
Permeability of Free Space (μ0)
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Newton's Law of Universal Gravitation
Newton's Law of Universal Gravitation
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Vernier Caliper
Vernier Caliper
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Vernier Constant
Vernier Constant
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Kinetic Energy
Kinetic Energy
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Specific Heat Capacity
Specific Heat Capacity
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Convex Lens
Convex Lens
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Refractive Index
Refractive Index
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Object Distance for Self-Image Formation
Object Distance for Self-Image Formation
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Electric Force
Electric Force
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Work Function
Work Function
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Photoelectric Effect
Photoelectric Effect
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Hertz (Hz)
Hertz (Hz)
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Closed and Open Organ Pipes
Closed and Open Organ Pipes
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Density Ratio
Density Ratio
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Gravitational Force
Gravitational Force
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Black Body
Black Body
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Stefan-Boltzmann Law
Stefan-Boltzmann Law
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Young's Double Slit Experiment
Young's Double Slit Experiment
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Fringe Spacing
Fringe Spacing
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Young's Modulus
Young's Modulus
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Nucleophilic Substitution
Nucleophilic Substitution
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SN1 Mechanism
SN1 Mechanism
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SN2 Mechanism
SN2 Mechanism
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De Broglie Hypothesis
De Broglie Hypothesis
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Planck's Constant (h)
Planck's Constant (h)
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Electronegativity
Electronegativity
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Electron Affinity
Electron Affinity
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Electrolysis
Electrolysis
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Concentrated Solution
Concentrated Solution
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Dilute Solution
Dilute Solution
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Vitamin Acid
Vitamin Acid
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Stereoisomer
Stereoisomer
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IUPAC Name
IUPAC Name
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Molecular Weight
Molecular Weight
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Shape of a Complex
Shape of a Complex
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Equilibrium
Equilibrium
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Equilibrium Constant (Kp)
Equilibrium Constant (Kp)
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Internal Energy (E)
Internal Energy (E)
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Heat (q)
Heat (q)
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Work (w)
Work (w)
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Order
Order
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Initial Value Problem
Initial Value Problem
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Equivalence Relation
Equivalence Relation
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Geometric Progression (G.P)
Geometric Progression (G.P)
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Sum of a Geometric Progression
Sum of a Geometric Progression
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Angle Made by a Line
Angle Made by a Line
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Domain of a Function
Domain of a Function
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Range of a Function
Range of a Function
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Discrete Function
Discrete Function
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Continuous Function
Continuous Function
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Differentiation
Differentiation
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Integration
Integration
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Study Notes
JEE Main - 2025 (Shift 1) - Memory Based Questions
-
Physics:
- A parallel plate capacitor (40µF) is connected to a 100V supply. The intermediate space between the plates is filled with a dielectric (k=2). The extra charge and the change in electrostatic energy are 4mC and 0.2J respectively.
- A uniform circular disc (radius R, mass m) is rotating about an axis perpendicular to its plane through its center. A circular part of radius R/2 is removed. The moment of inertia of the remaining part is 13 mR²/32.
- An electron in the ground state of hydrogen has a radius of 5.3 × 10⁻¹¹ m. The radius of the electron in the third excited state is 8.48 × 10⁻¹⁰ m. The ratio of the de-Broglie wavelengths in the ground state to the excited state is 4.
-
Physics (additional):
- Dimensions of μ₀ are [AL⁻¹].
- solid sphere of mass M and radius R exerts a force F on a point mass. A concentric spherical mass is removed, the new force is 5F/7.
- Two Statements regarding Vernier calipers:
- Statement I: One Vernier scale division is smaller than one main scale division.
- Statement II: Vernier constant = (one main scale division) × (number of Vernier scale divisions). Statement I is true, but Statement II is false.
- A bob of mass m is suspended by a string of length l. It performs vertical circular motion. Initially given velocity Vo at point A, the string slackens at point D. The ratio of kinetic energies at B and C is 2.
-
Physics (additional)
- Ice at -10°C is converted to steam at 110°C (10⁻³ kg). The amount of heat required is 900 cal.
- A thin convex lens with radius of curvature R (refractive index µ). A polished side forms an image on the object for placement on the optic axis, distance required is R/(2μ – 1)
- An electron entering symmetrically between two parallel charged plates (10 cm long) emerges with a horizontal velocity of 10m/s. The electric field is 9.1V/cm. The vertical component of velocity is 1.6 x 10⁶ m/s.
- Work function of Cesium (Cs) is 1.9 eV and Lithium (Li) is 2.5 eV. Light with wavelength 550 nm causes photoelectric effect only from Cs.
- A closed organ tube and an open organ tube with the same bulk modulus but different densities. If frequency of 9th harmonic closed tube = frequency of 4th harmonic open tube, Length of open tube is 15/7 cm.
- A small point mass m is placed 2R from the center of a uniform solid sphere. If force on m is F1 and a part of radius R/3 is removed, force is F2. The ratio F1:F2 is 12:11.
-
Chemistry:
- Lanthanide ion with 7 electrons in the outermost shell is Gd⁺³.
- Number of linear compounds from the list is 4.
- Percentage of Cl in an organic compound (mass 180 g) precipitating 143.5 g of AgCl is 22.20%.
- Electrolysis of concentrated sulfuric acid (H₂SO₄) produces H₂S₂O₈.
- Incorrect statement about radioactive decay is that the decay constant depends on temperature.
- Increasing boiling point order for given substances is 10⁻⁴ NaCl, 10⁻³ NaCl, 10⁻²NaCl, 10⁻⁴ Urea.
- IUPAC name for 3-methoxy-5,6-dimethyl-2-hexanoate.
-
Mathematics:
- Triangle PQR, image of a triangle under x + 2y = 2. Centroid of PQR is (a,β). 15(α – β) = 22.
- Probability of selecting two black balls from bag with 4 white and 6 black balls is 6/10 x 5/9 = 11.
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From English alphabet 5 letters are chosen and are alphabetically arranged. The middle letter is M. The number of ways is 5148.
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Area inside a circle (x-√2)²+y² = 2/3, parabola y²=√2x is 16/11-4π
-
Given a differential equation, x(1)=1 and the solution is x(y)=a/b * e^(-3/2) and is 3 + e⁻³.
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