Podcast
Questions and Answers
What is the charge contained inside the cubical volume defined by the surfaces x = 0, x = l, y = 0, y = l, z = 0, and z = l, given that the electric field is E = 0l î?
What is the charge contained inside the cubical volume defined by the surfaces x = 0, x = l, y = 0, y = l, z = 0, and z = l, given that the electric field is E = 0l î?
The molar specific heat of a gas, when not specified, can only indicate that the gas is monoatomic.
The molar specific heat of a gas, when not specified, can only indicate that the gas is monoatomic.
False
What happens to the momentum of a particle moving in a circle when it reaches the diametrically opposite point?
What happens to the momentum of a particle moving in a circle when it reaches the diametrically opposite point?
The momentum changes by 2MV.
The corrected mean diameter of the steel ball with a zero error of −0.03 cm based on the measurements is __________.
The corrected mean diameter of the steel ball with a zero error of −0.03 cm based on the measurements is __________.
Signup and view all the answers
Which ball will reach the bottom of the lake first when released simultaneously?
Which ball will reach the bottom of the lake first when released simultaneously?
Signup and view all the answers
Match the following concepts with their descriptions:
Match the following concepts with their descriptions:
Signup and view all the answers
What is the implication of the kinetic theory stating that the molar specific heat is R for a gas?
What is the implication of the kinetic theory stating that the molar specific heat is R for a gas?
Signup and view all the answers
In the context of the kinetic theory, a specific heat of R indicates rigid diatomic molecules only.
In the context of the kinetic theory, a specific heat of R indicates rigid diatomic molecules only.
Signup and view all the answers
What is the value of the expression $sin^4 α + cos^4 α + 2sin^2 α cos^2 α + 1$?
What is the value of the expression $sin^4 α + cos^4 α + 2sin^2 α cos^2 α + 1$?
Signup and view all the answers
What is the probability of the sum of outcomes of three rolled dice being at least 8?
What is the probability of the sum of outcomes of three rolled dice being at least 8?
Signup and view all the answers
What is the general solution of the differential equation $(x^2 + 2) dy + 2xydx = e^x (x^2 + 2)dx$?
What is the general solution of the differential equation $(x^2 + 2) dy + 2xydx = e^x (x^2 + 2)dx$?
Signup and view all the answers
|α10 − α9| = |α8 − α7| is necessarily true for the sequence defined as $αr+2 = 1$.
|α10 − α9| = |α8 − α7| is necessarily true for the sequence defined as $αr+2 = 1$.
Signup and view all the answers
In the sequence defined by α0 = 17.23, α1 = 33.23, what is α0?
In the sequence defined by α0 = 17.23, α1 = 33.23, what is α0?
Signup and view all the answers
For matrix A, if P is such that $P^{-1} A P = diag(-1, 3)$, then the sum of all elements of A is __.
For matrix A, if P is such that $P^{-1} A P = diag(-1, 3)$, then the sum of all elements of A is __.
Signup and view all the answers
How many functions exist from set A = {1, 2, 3, 4, 5, 6} such that $f(m) + f(n) = 7$ whenever $m + n = 7$?
How many functions exist from set A = {1, 2, 3, 4, 5, 6} such that $f(m) + f(n) = 7$ whenever $m + n = 7$?
Signup and view all the answers
Match the elements of set A with their corresponding pairs satisfying $f(m) + f(n) = 7$:
Match the elements of set A with their corresponding pairs satisfying $f(m) + f(n) = 7$:
Signup and view all the answers
The combination of NAND gates shown is equivalent to which of the following?
The combination of NAND gates shown is equivalent to which of the following?
Signup and view all the answers
If the time period of star A (T A) is greater than the time period of star B (T B), which statement is true?
If the time period of star A (T A) is greater than the time period of star B (T B), which statement is true?
Signup and view all the answers
In a series LR circuit with a maximum source voltage, the voltage across the resistance is 4 V and across the inductor is 3 V. If the resistance is 2Ω, what is the reactance of the inductor?
In a series LR circuit with a maximum source voltage, the voltage across the resistance is 4 V and across the inductor is 3 V. If the resistance is 2Ω, what is the reactance of the inductor?
Signup and view all the answers
The de Broglie wavelength of an electron moving at 1.5 × 10^8 m/s is equal to that of a photon.
The de Broglie wavelength of an electron moving at 1.5 × 10^8 m/s is equal to that of a photon.
Signup and view all the answers
The ratio of the kinetic energy of an electron to that of a photon, when their de Broglie wavelengths are equal, is:
The ratio of the kinetic energy of an electron to that of a photon, when their de Broglie wavelengths are equal, is:
Signup and view all the answers
A wheel with a moment of inertia of 2.5 Kg-m² has an initial angular velocity of 40 rads⁻¹. If a constant torque of 10 Nm is applied, how long will it take to accelerate to 60 rads⁻¹?
A wheel with a moment of inertia of 2.5 Kg-m² has an initial angular velocity of 40 rads⁻¹. If a constant torque of 10 Nm is applied, how long will it take to accelerate to 60 rads⁻¹?
Signup and view all the answers
What is the minimum velocity the student needs to run towards the bus to catch it, expressed as α√2 m/s?
What is the minimum velocity the student needs to run towards the bus to catch it, expressed as α√2 m/s?
Signup and view all the answers
The nuclear force is repulsive when the distance between two nucleons is less than 0.8 fm.
The nuclear force is repulsive when the distance between two nucleons is less than 0.8 fm.
Signup and view all the answers
The frequency of the third harmonic of a closed organ pipe, while the fundamental frequency of the open pipe is 100 Hz, is __________.
The frequency of the third harmonic of a closed organ pipe, while the fundamental frequency of the open pipe is 100 Hz, is __________.
Signup and view all the answers
Which statement is true regarding the heat requirement when an ideal gas is taken from point A to point C on a P-V diagram through processes AOC and ABC?
Which statement is true regarding the heat requirement when an ideal gas is taken from point A to point C on a P-V diagram through processes AOC and ABC?
Signup and view all the answers
What happens to the power consumed by a battery connected to a variable resistor if the resistance is increased from 4Ω?
What happens to the power consumed by a battery connected to a variable resistor if the resistance is increased from 4Ω?
Signup and view all the answers
What is the binding energy per nucleon for the range 30 < A < 170 attributed to?
What is the binding energy per nucleon for the range 30 < A < 170 attributed to?
Signup and view all the answers
The path of an ideal gas from point A to point C involves processes AOC and ABC where AOC is _____.
The path of an ideal gas from point A to point C involves processes AOC and ABC where AOC is _____.
Signup and view all the answers
Match the following statements about the nuclear force with their descriptions:
Match the following statements about the nuclear force with their descriptions:
Signup and view all the answers
In gravity-free space, a bead with a charge of 1μC and mass of 3mg projected at 4 m/s along a rough rod with a friction coefficient of 0.3 will cover how much distance before coming to rest?
In gravity-free space, a bead with a charge of 1μC and mass of 3mg projected at 4 m/s along a rough rod with a friction coefficient of 0.3 will cover how much distance before coming to rest?
Signup and view all the answers
A proton is fired towards a nucleus with charge Q = 120e and makes a closest approach of 10 fm. What is the charge of the nucleus in terms of elementary charge?
A proton is fired towards a nucleus with charge Q = 120e and makes a closest approach of 10 fm. What is the charge of the nucleus in terms of elementary charge?
Signup and view all the answers
Which statement regarding the formation of SiF6^2− and SiCl6^2− is correct?
Which statement regarding the formation of SiF6^2− and SiCl6^2− is correct?
Signup and view all the answers
What is the possible structure of compound A with the formula C6H12O?
What is the possible structure of compound A with the formula C6H12O?
Signup and view all the answers
Trimethylammonia and trisilylammonia both have pyramidal shapes.
Trimethylammonia and trisilylammonia both have pyramidal shapes.
Signup and view all the answers
What is the normality of HCl produced from 1 g of complex [Cr(H2O)5Cl]Cl2·H2O?
What is the normality of HCl produced from 1 g of complex [Cr(H2O)5Cl]Cl2·H2O?
Signup and view all the answers
In the borax bead test, what causes the blue color in the bead with Co2+?
In the borax bead test, what causes the blue color in the bead with Co2+?
Signup and view all the answers
What is the equilibrium constant for the reaction SO2(g) + O2(g) ⇌ SO3(g)?
What is the equilibrium constant for the reaction SO2(g) + O2(g) ⇌ SO3(g)?
Signup and view all the answers
The shape of trimethylammonia is ______.
The shape of trimethylammonia is ______.
Signup and view all the answers
Match the following compounds with their characteristics.
Match the following compounds with their characteristics.
Signup and view all the answers
What is the radius of the circle on which the centroid of triangle ABC lies?
What is the radius of the circle on which the centroid of triangle ABC lies?
Signup and view all the answers
What is the sum of the roots of the equation $233x^{-2} + 211x^{2} = 222x^{1} + 1$?
What is the sum of the roots of the equation $233x^{-2} + 211x^{2} = 222x^{1} + 1$?
Signup and view all the answers
What is the value of $d$, the shortest distance between the lines defined in the problem?
What is the value of $d$, the shortest distance between the lines defined in the problem?
Signup and view all the answers
What is the limit as $x$ approaches 0 for the expression $\frac{sin x^4 - x^4 cos x^4 + x^{20}}{x^4 (e^{2x^4} - 1 - 2x^4)}$?
What is the limit as $x$ approaches 0 for the expression $\frac{sin x^4 - x^4 cos x^4 + x^{20}}{x^4 (e^{2x^4} - 1 - 2x^4)}$?
Signup and view all the answers
What does the indefinite integral $I = \int \frac{sin^2 x - cos^2 x}{(sin x)^{2021}(cos x)^{2021}} dx$ simplify to?
What does the indefinite integral $I = \int \frac{sin^2 x - cos^2 x}{(sin x)^{2021}(cos x)^{2021}} dx$ simplify to?
Signup and view all the answers
The centroid of triangle ABC lies on a line segment between points P and Q.
The centroid of triangle ABC lies on a line segment between points P and Q.
Signup and view all the answers
The distance between the lines L1 and L2 is represented by the variable ______.
The distance between the lines L1 and L2 is represented by the variable ______.
Signup and view all the answers
Match the mathematical expressions with their corresponding descriptions:
Match the mathematical expressions with their corresponding descriptions:
Signup and view all the answers
Study Notes
JEE MAINS QFT1 2025 - Physics
- Question 1 (Single Correct): The electric field in a region is given by E = F₀x i. The charge contained within a cube defined by x = 0, x = l, y = 0, y = l, z = 0, z = l is zero.
- Question 2 (Single Correct): The molar specific heat of a gas from kinetic theory is R. If it's not specified whether it's Cp or Cv, one can conclude that the gas molecules can be monoatomic or rigid diatomic.
- Question 3 (Single Correct): A particle of mass M moving in a horizontal circle of radius R with uniform speed V. When the particle moves from one point to its diametrically opposite point, its momentum does not change.
- Question 4 (Single Correct): The diameter of a steel ball is measured using a Vernier caliper with divisions of 0.1 cm on its main scale and 10 divisions matching 9 divisions on the Vernier scale. Three measurements are given: S.No. | MS(cm) | VS divisions 1 | 0.5 | 8 2 | 0.5 | 4 3 | 0.5 | 6 If the zero error is -0.03 cm, the mean corrected diameter is 0.56 cm.
JEE MAINS QFT1 2025 - Physics (continued)
- Question 5 (Single Correct): A solid iron ball and an aluminum ball of the same diameter are released together in a lake. Assuming no viscosity and iron being denser than aluminum, the iron ball will reach the bottom first.
- Question 6 (Single Correct): The combination of NAND gates given in the figure is equivalent to an AND gate and an OR gate.
- Question 7 (Single Correct): A double star system consists of two stars A and B with time periods TA and TB. Radius RA and RB, and masses MA and MB. If TA > TB then RA > RB and MA > MB is the correct option.
- Question 9 (Single Correct): A student is 16 meters from a bus that accelerates at 9 m/s². The minimum speed needed for the student to catch the bus is a√2, where a = 12.
- Question 10 (Single Correct): An ideal gas is compressed from A to C in two different processes AOC and ABC (AOC is isothermal). Process AOC requires more heat than process ABC.
- Question 11 (Single Correct): A battery with internal resistance 2 Ω connected to a variable resistor (4 Ω to 10 Ω). Increasing the resistance will increase the power consumed.
- Question 12 (Single Correct): To estimate g = 4π² L/T². Error in L is ±2% and error in T is ±3%. The estimated error in g will be ±5%.
- Question 13 (Single Correct): A 70% efficient machine raises a 10 kg body through a certain distance and spends 100 J of energy. The kinetic energy of the body upon release to the ground will be 50 J.
- Question 14 (Single Correct): A ray of light is incident at 45° from air to a glass slab. The minimum refractive index of the material of the slab for total internal reflection at B is 1.4.
- Question 15 (Single Correct): A solid iron ball and an aluminum ball of same diameter are released together in a lake. The iron ball will reach the bottom first (neglect viscosity).
- Question 16 (Single Correct): The coordination number of the metal M in the complex MC13 · 4H2O is 6. There are no molecules of hydration in the complex.
- Question 17 (Single Correct): A bar magnet is slowly brought near four samples (A, B, C, D). Observations: A - feebly repelled, B - feebly attracted, C - strongly attracted, D - unaffected. Material B is paramagnetic.
- Question 18 (Single Correct): Dimensions of constant K in PV5/3 = K are ML²T⁻².
JEE MAINS QFT1 2025 - Chemistry
- Question 1 (Single Correct): Disaccharide Q does not reduce Tollen's reagent.
- Question 2 (Single Correct): Statement I: The dehydration of the molecule on the left (with OH groups) is more likely to produce the molecule on the right (with double bonds). Statement II: The molecules on the left are not aromatic; the right is aromatic. Both statements are true; Statement II explains I.
- Question 3 (Single Correct): In the complex MC13 · 4H2O, the metal has a coordination number of 6. The volume of AgNO3 solution needed for precipitation of chloride ions in 200 mL of a 0.01 M solution of the complex (with no hydration) is 40 mL.
- Question 4 (Single Correct): For the cell Zn(s)|ZnSO4(aq)||CuSO4(aq)|Cu(s), when the Zn2+ concentration is 10 times the Cu2+ concentration, ∆G is 2.303RT - 2.2F.
- Question 6 (Single Correct): Which is not a disproportionation reaction: Cl2 + 2NaOH is correct.
- Question 7 (Single Correct): The statements related to the reduction of S2O⁻³ by Fe²⁺, oxidation of KCl by Na₂Cr₂O₇, AG for Mn³⁺ / Mn²⁺ and stability of VC15 + VBr5 in air need to be confirmed.
JEE MAINS QFT1 2025 - Mathematics
- Question 1 (Single Correct): If a = i – 2j + 3k, b = -3i + j – k, r × a = b × a, and r × b = a × b, then the unit vector in the direction of r is (-2i - j + 2k).
- Question 2 (Single Correct): In a right triangle ABC, vertices A, B, C are given as coordinates. The centroid of ABC lies on a circle with radius 4.
- Question 3 (Single Correct): The sum of the roots of 233x−2 + 211x+2 = 222x+1 +1 is 11.
- Question 4 (Single Correct): Consider two lines in space L₁ and L₂. The shortest distance between them is √d. The value of d = 7.
- Question 5 (Single Correct): The limit limx→0 sin⁴x - x⁴ cos⁴x + x²⁰ / x⁴(e²x⁴ - 1 - 2x⁴) is 6/6.
- Question 6 (Single Correct): The integral ∫(sin²x−cos²x)/(sin²x cos²x) dx from 0 to π/2 simplifies to (tanx−cotx)/2020 + c.
- Question 7 (Single Correct): The value of an expression related to sin⁴a+ cos⁴a +2sin2a cos²a + 1 = 1.
- Question 8 (Single Correct): Probability of the sum of outcomes of three fair dice being at least 8 is 81/216.
- Question 9 (Single Correct): The general solution of (x² + 2) dy + 2xy dx = eˣ (x² + 2) dx is (x² + 2)y = eˣ (x² – 2x + 4) + c.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Test your understanding of fundamental physics concepts with this quiz. Covering topics from electric fields to the kinetic theory of gases, this quiz will challenge your knowledge across various physics principles. Ideal for students preparing for exams or anyone interested in physics.
