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Questions and Answers
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
- 2 mC and 0.4J
- 4 mC and 0.2J (correct)
- 2 mC and 0.2 J
- 8 mC and 2J
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 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 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 the moment of inertia of the remaining part of the original disc about the axis as given above.
- 17 mR2 /32
- 13 mR2 /32 (correct)
- 15 mR2 /32
- 27 mR2 /32
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 the 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 the electron in the ground state to that in the excited state is
- 3
- 4 (correct)
- 16
- 9
Find the dimensions of μo/εo
Find the dimensions of μo/εo
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?
In a Vernier Caliper's, one Vernier scale division is smaller than one main scale division.
In a Vernier Caliper's, one Vernier scale division is smaller than one main scale division.
The Vernier constant is given by one main scale division multiplied by the number of Vernier scale divisions.
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 the 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 the 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 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 slop 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?
Flashcards
Capacitance
Capacitance
A measure of a material's ability to store electrical energy when a potential difference is applied across it.
Dielectric Constant
Dielectric Constant
The ratio of the electric field strength inside a dielectric material to the electric field strength in a vacuum.
Electrostatic Energy
Electrostatic Energy
The energy stored in a capacitor due to the presence of an electric field between its plates.
Moment of Inertia
Moment of Inertia
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De Broglie Wavelength
De Broglie Wavelength
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Permeability of Free Space (μ0)
Permeability of Free Space (μ0)
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Gravitational Force
Gravitational Force
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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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Converting Ice to Steam
Converting Ice to Steam
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Convex Lens
Convex Lens
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Focal Length
Focal Length
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Refractive Index
Refractive Index
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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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Organ Tube
Organ Tube
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Harmonics
Harmonics
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Density
Density
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Young's Double Slit Experiment
Young's Double Slit Experiment
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Speed of Light
Speed of Light
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Lanthanide
Lanthanide
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Linear Compound
Linear Compound
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Percentage Composition
Percentage Composition
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Electrolysis
Electrolysis
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Electronegativity
Electronegativity
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Electron Affinity
Electron Affinity
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Half Life
Half Life
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Radioactive Decay
Radioactive Decay
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Boiling Point Elevation
Boiling Point Elevation
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Vitamin
Vitamin
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Stereoisomers
Stereoisomers
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IUPAC Naming
IUPAC Naming
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Geometric Isomers
Geometric Isomers
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Charge on Metal Ion
Charge on Metal Ion
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Shape of Complex
Shape of Complex
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Chemical Reactivity
Chemical Reactivity
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Equilibrium
Equilibrium
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Kp
Kp
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SN1 Mechanism
SN1 Mechanism
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SN2 Mechanism
SN2 Mechanism
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De Broglie Wavelength
De Broglie Wavelength
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Enthalpy Change (ΔH)
Enthalpy Change (ΔH)
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Internal Energy (ΔE)
Internal Energy (ΔE)
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Work (W)
Work (W)
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Heat (Q)
Heat (Q)
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Entropy (S)
Entropy (S)
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First Law of Thermodynamics
First Law of Thermodynamics
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Second Law of Thermodynamics
Second Law of Thermodynamics
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Third Law of Thermodynamics
Third Law of Thermodynamics
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Gibbs Free Energy Equation
Gibbs Free Energy Equation
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Hyperbola
Hyperbola
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Latus Rectum
Latus Rectum
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Function
Function
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Relation
Relation
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Set
Set
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Equivalence Relation
Equivalence Relation
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Geometric Progression (GP)
Geometric Progression (GP)
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Differentiation
Differentiation
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Differential Equation
Differential Equation
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Area
Area
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Integration
Integration
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Real Numbers
Real Numbers
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Integers
Integers
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Rational Numbers
Rational Numbers
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Irrational Numbers
Irrational Numbers
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Composite Number
Composite Number
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Prime Number
Prime Number
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GCD
GCD
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LCM
LCM
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Study Notes
JEE Main - 2025 (Shift-1) - Memory Based Questions
-
Physics:
- A 40µF parallel plate capacitor, connected to 100V, has its intermediate space filled with a dielectric (k=2). The associated change in charge and electrostatic energy is 4 mC and 0.2J, respectively.
- A uniform circular disc of radius R and mass m, with a smaller circular part of radius R/2 removed, has a moment of inertia of 13mR²/32 about its central axis.
- The ratio of de Broglie wavelengths of an electron in the ground state to that in the third excited state of hydrogen is 4/1
-
Physics:
- The dimensions of the permeability constant µ₀ are [AL⁻¹].
- A solid sphere of mass M and radius R exerts a force F on a point mass. A concentric spherical shell of mass is removed. The new force is 3F/7.
- Statement I: In a Vernier caliper, one Vernier division is smaller than one main scale division. Statement II: Vernier constant is the product of one main scale division and the number of Vernier scale divisions. Statement I is true, but Statement II is false.
-
Physics:
- The heat required to convert 10⁻³ kg of ice at -10°C to steam at 110°C is approximately 900 calories.
- An object placed at a certain distance from a convex lens with reflective index µ and radius of curvature R, forms an image on the object itself, requiring a distance of R/(2µ-1) from the lens along the optic axis.
- An electron entering the space between two parallel, oppositely charged plates, each 10cm long, leaves the field with a horizontal velocity of 10m/s. The vertical component of its velocity is 16×10⁶ m/s (given electric field is 9.1 V/cm).
- Electronegativity order : Mg < Be < B < N.
- The photoelectric effect is possible only for cesium when light of wavelength 550nm is incident.
-
Physics:
- A bob of mass m is suspended on a string of length l. By applying horizontal velocity V₀ at point A, the string becomes slack as the bob reaches point D. The ratio of kinetic energies at B and C is 2:1.
-
Chemistry:
- The lanthanide ion with 7 electrons in its outermost shell is Gd³⁺.
- The number of linear compounds from the list (NO₂ ,O₃,OF₂, NO₂, BeCl₂, N₃, SO₃, CO₂, XeF₂) is 5.
- The percentage of Cl in an organic compound (mass 180g) that forms 143.5 g of AgCl upon precipitation is 35.2%. (considering atomic weights of Cl=35.5 and Ag=108)
- Electrolysis of concentrated sulphuric acid (H₂SO₄) gives H₂S₂O₈.
-
Chemistry:
- The incorrect statement about the behavior of radioactive decay is that the decay constant depends on temperature..
-
Chemistry:
- For [NiCl₄]²⁻, the charge on the metal is +2 and the shape is tetrahedral.
-
Mathematics:
- The image of a triangle with vertices (1,3), (3,1) and (2,4) is reflected across the line x+2y=2. The centroid is (α, β). 15(α-β) = 22
- From the English alphabet, 5 letters are chosen and arranged in alphabetical order. The probability that the middle letter is M is 5148/2053.
-
Mathematics:
- The function f(x,y) = f(x)f'(y) + f(y)f'(x) when f(0) = 1, satisfies certain properties. Then E [loge f(n)] = 2050.
-
Mathematics:
- The product of all solutions x > 0 of the equation e⁵(logₑ x)² + 3 = x is e⁶.
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