Podcast
Questions and Answers
A meteorite of mass m collides with a satellite (mass 10_m_) orbiting a planet of mass M at radius R. After the collision, the combined mass enters an orbit with a minimum distance of R/2 from the planet. What was the meteorite's velocity (u) before impact?
A meteorite of mass m collides with a satellite (mass 10_m_) orbiting a planet of mass M at radius R. After the collision, the combined mass enters an orbit with a minimum distance of R/2 from the planet. What was the meteorite's velocity (u) before impact?
- $u = \frac{58GM}{\sqrt{R}}$
- $u = \sqrt{\frac{11GM}{242R}}$
- $u = \frac{49GM}{\sqrt{5R}}$
- $u = \sqrt{\frac{11GM}{5R}}$ (correct)
A rod of length l with linear charge density $λ$ is initially parallel to an infinite sheet of surface charge density $σ_0$. The rod is then slowly rotated to become vertical. Assuming no change in charge density, what is the work done to rotate the line charge?
A rod of length l with linear charge density $λ$ is initially parallel to an infinite sheet of surface charge density $σ_0$. The rod is then slowly rotated to become vertical. Assuming no change in charge density, what is the work done to rotate the line charge?
- $V_B - V_A = \frac{σ_0l}{2ε_0}$ (correct)
- $\frac{λσ_0l^2}{4ε_0}$
- $\frac{λσ_0l^2}{4ε_0^2}$
- $\frac{λσ_0l^2}{2ε_0^2}$
Consider an AC circuit with a voltage source of 90V connected to a network of resistors ($R_1 = 8Ω, R_2 = 3Ω, R_3 = 2Ω$) and reactances ($X_1 = 6Ω, X_2 = 10Ω, X_3 = 4Ω$) as shown in the figure. What is the current supplied by the AC voltage source?
Consider an AC circuit with a voltage source of 90V connected to a network of resistors ($R_1 = 8Ω, R_2 = 3Ω, R_3 = 2Ω$) and reactances ($X_1 = 6Ω, X_2 = 10Ω, X_3 = 4Ω$) as shown in the figure. What is the current supplied by the AC voltage source?
- 4 amp
- 10 amp (correct)
- 9 amp
- 16 amp
A metallic surface is illuminated with electromagnetic radiation of wavelengths 3100 Å and 4000 Å. The ratio of the maximum speeds of the photoelectrons is 2:1. What is the work function of the metal?
A metallic surface is illuminated with electromagnetic radiation of wavelengths 3100 Å and 4000 Å. The ratio of the maximum speeds of the photoelectrons is 2:1. What is the work function of the metal?
The pressure variation inside an organ pipe is given by $ΔP = P_0 cos(\frac{3πx}{2}) sin(200t + φ)$, where x is in meters and t is in seconds. Considering x = 0 at one end of the pipe, which statement about the organ pipe is correct?
The pressure variation inside an organ pipe is given by $ΔP = P_0 cos(\frac{3πx}{2}) sin(200t + φ)$, where x is in meters and t is in seconds. Considering x = 0 at one end of the pipe, which statement about the organ pipe is correct?
The pitch of a screw gauge is 1 mm and its circular scale has 100 divisions. When nothing is between the studs, the zero of the main scale is not visible. Rotating the circular scale by 450° makes the zero of the main scale just visible and coincident with the circular scale's zero. If a glass plate is placed between the studs and the main scale reading is between 18 and 19 divisions, with the circular scale reading 34 divisions, determine the thickness of the glass plate.
The pitch of a screw gauge is 1 mm and its circular scale has 100 divisions. When nothing is between the studs, the zero of the main scale is not visible. Rotating the circular scale by 450° makes the zero of the main scale just visible and coincident with the circular scale's zero. If a glass plate is placed between the studs and the main scale reading is between 18 and 19 divisions, with the circular scale reading 34 divisions, determine the thickness of the glass plate.
A tube of a certain diameter and length 97 cm is open at both ends and found to have a fundamental resonance frequency of 160 Hz. Given the speed of sound in air is 320 m/s, which statement is correct?
A tube of a certain diameter and length 97 cm is open at both ends and found to have a fundamental resonance frequency of 160 Hz. Given the speed of sound in air is 320 m/s, which statement is correct?
One mole of an ideal diatomic gas undergoes a cyclic process as shown in the Temperature-Pressure diagram. Temperature and pressure at 'A' are 4T₀ and P₀, respectively, and temperature in process BC is T₀. The process AB is given by TP² = constant and the process CA is given by TP⁴ = constant. In the thermodynamics process A → B:
One mole of an ideal diatomic gas undergoes a cyclic process as shown in the Temperature-Pressure diagram. Temperature and pressure at 'A' are 4T₀ and P₀, respectively, and temperature in process BC is T₀. The process AB is given by TP² = constant and the process CA is given by TP⁴ = constant. In the thermodynamics process A → B:
Four resistors (6Ω, 12Ω, 18Ω, 24Ω), two ideal inductors (1H and 2H), and a 25V battery are arranged in a circuit with three switches (S₁, S₂, S₃). If switches S₁ and S₃ are closed simultaneously, and S₂ remains open, what is the time constant of the circuit?
Four resistors (6Ω, 12Ω, 18Ω, 24Ω), two ideal inductors (1H and 2H), and a 25V battery are arranged in a circuit with three switches (S₁, S₂, S₃). If switches S₁ and S₃ are closed simultaneously, and S₂ remains open, what is the time constant of the circuit?
In List I, the motion of a particle is described. In List II, the relative speed between the object and its image is given. An object is moving towards water with a velocity of 3 m/s. The refractive index of water is 4/3. What is the relative speed between the object and its image?
In List I, the motion of a particle is described. In List II, the relative speed between the object and its image is given. An object is moving towards water with a velocity of 3 m/s. The refractive index of water is 4/3. What is the relative speed between the object and its image?
Ketone 'P' on treatment with NH2OH at pH = 5 gives compound (A). Compound (A) on treatment with H2SO4 gives N-methyl benzamide. What is the correct structure of 'A'
Ketone 'P' on treatment with NH2OH at pH = 5 gives compound (A). Compound (A) on treatment with H2SO4 gives N-methyl benzamide. What is the correct structure of 'A'
One mole of H2(g) and one mole of I2(g) are taken in a container at 400 K, and the equilibrium H2(g) + I2(g) ⇌ 2HI(g) is established. The equilibrium mixture requires 100 mL of 10 M hypo solution up to the starch endpoint. What is the dissociation constant per mole of HI at 400 K?
One mole of H2(g) and one mole of I2(g) are taken in a container at 400 K, and the equilibrium H2(g) + I2(g) ⇌ 2HI(g) is established. The equilibrium mixture requires 100 mL of 10 M hypo solution up to the starch endpoint. What is the dissociation constant per mole of HI at 400 K?
In a sample of H-atoms, all atoms are initially in their 4th excited state and de-excite to the ground state. Assuming multiple excitations are not allowed, which statement is INCORRECT?
In a sample of H-atoms, all atoms are initially in their 4th excited state and de-excite to the ground state. Assuming multiple excitations are not allowed, which statement is INCORRECT?
Consider a process where '10 g' of H₂ gas at 298 K undergoes a reversible change from P = 100 atm (state 'X') to P = 10 atm at constant temperature (state 'Y'). Then, '10 g' of H₂ gas returns to initial pressure is done adiabatically (state 'Z'). Which options are correct?
Consider a process where '10 g' of H₂ gas at 298 K undergoes a reversible change from P = 100 atm (state 'X') to P = 10 atm at constant temperature (state 'Y'). Then, '10 g' of H₂ gas returns to initial pressure is done adiabatically (state 'Z'). Which options are correct?
100 ml of 0.1 M aqueous solution of sodium phosphate is titrated using 0.1 M HCl. (For H3PO4 : Ka₁ = 10⁻³, Ka₂ = 10⁻⁸ and Ka₃ = 10⁻¹³ at 25°C).
100 ml of 0.1 M aqueous solution of sodium phosphate is titrated using 0.1 M HCl. (For H3PO4 : Ka₁ = 10⁻³, Ka₂ = 10⁻⁸ and Ka₃ = 10⁻¹³ at 25°C).
Consider the reaction of white phosphorus ($P_4$) with excess oxygen, and treat the product containing the underlined element with excess $PCl_5$. Which is one of the final products?
Consider the reaction of white phosphorus ($P_4$) with excess oxygen, and treat the product containing the underlined element with excess $PCl_5$. Which is one of the final products?
Given the following reaction $CuSO_4 + NH_3(aq)(excess) -> $, select the correct characteristic of the product?
Given the following reaction $CuSO_4 + NH_3(aq)(excess) -> $, select the correct characteristic of the product?
Consider the reaction sequence: Hepta-2,5-dien-4-one + (i) diethyl malonate/OH- (excess), (ii) H3O+, (iii) Heat. Will product give positive Brady's test result?
Consider the reaction sequence: Hepta-2,5-dien-4-one + (i) diethyl malonate/OH- (excess), (ii) H3O+, (iii) Heat. Will product give positive Brady's test result?
Consider the reaction between $K_2Cr_2O_7 + H_2O_2 + H_2SO_4 -> $.Select the correct characteristic of the product?
Consider the reaction between $K_2Cr_2O_7 + H_2O_2 + H_2SO_4 -> $.Select the correct characteristic of the product?
Flashcards
Test Structure
Test Structure
A test consisting of 51 questions divided into three parts: Physics, Chemistry, and Mathematics. Each part is further divided into Section A and Section B.
Section Types in Test
Section Types in Test
Section A includes questions that could be single choice, multiple choice or matching list. Section B includes numerical based questions.
Marking for Single Choice
Marking for Single Choice
Correct answer: +3. No answer: 0. Incorrect answer: -1
Marking for Multiple Choice
Marking for Multiple Choice
Signup and view all the flashcards
Marking for Numerical Value
Marking for Numerical Value
Signup and view all the flashcards
Study Notes
- This document is the FIITJEE All India Test Series for JEE (Advanced)-2025, Open Test - I, Paper - 1
- The test date is 09-02-2025
- The test's time allotted is 3 hours
- The maximum marks possible are 180
- The paper comprises 51 questions, divided into three parts: Physics, Chemistry, and Mathematics.
- Each subject contains 17 questions
- Each part is split into Section A and Section B
Section A Instructions and Mark Scheme
- It can contain multiple types of questions (e.g., Single Correct, One or More than One Correct, Matching List Type) with varying marking schemes.
- Single Correct: Has four options with only one correct answer.
- +3 marks for correct answer
- 0 marks if no option is chosen
- -1 mark for incorrect answers
- One or More than One Correct: Has four options, with one or more correct.
- +4 marks if only all the correct option(s) are chosen
- +3 marks if all four options are correct but only three options are chosen
- +2 marks if three or more options are correct but only two options are chosen and both of which are correct
- +1 marks if two or more options are correct but only one option is chosen and it is a correct option
- 0 marks if none of the options is chosen
- -2 marks in all other cases
- Matching List Type: Requires matching statements from List-I and List-II; only one of the given choices is correct
Section B Instructions and Mark Scheme
- Contains numerical-based questions where the answer is a non-negative integer value.
- +4 marks if the correct numerical value is entered
- 0 marks in all other cases
Physics - Section A (One Option Correct)
- A meteorite of mass 'm' collides perpendicularly with a satellite (mass = 10m) orbiting a planet of mass 'M' at radius 'R'. After sticking together, the minimum distance from the planet becomes R/2.
- The velocity 'u' of the meteorite before collision can be determined.
- A rod of length 'l' with linear charge density 'λ' is parallel to an infinite sheet of surface charge density 'σ₀'.
- As the rod is rotated to become vertical, the work done and potential difference can be determined, assuming no change in charge density.
- A circuit with resistors (R₁, R₂, R₃), inductors (X₁, X₂), and a voltage source is provided. R₁ = 8Ω, X₁ = 6Ω, X₂ = 10Ω, R₂ = 3Ω, X₃ = 4Ω, R₃ = 2Ω.
- The current supplied by the AC voltage source is to be calculated, given the source is 90V.
- A metallic surface is illuminated with electromagnetic radiations of wavelengths 3100Å and 4000Å.
- The ratio of maximum speeds of photoelectrons is 2:1. The work function of the metal is to be determined
Physics - Section A (One or More than One Correct)
- Pressure variation inside an organ pipe can be given by ΔP = P₀ cos(3πx/2)sin(200t + φ), where x is in meters and t is in seconds, with x = 0 at one end.
- The conditions for the organ pipe being open or closed at either end, and the distance between consecutive nodes and antinodes are examined and found to be correct.
- A screw gauge with a pitch of 1 mm and 100 circular scale divisions exhibits zero error.
- With nothing between the studs, the zero of the main scale is not visible.
- Rotating the circular scale by 450° makes the zero of the main scale just visible and coincident with the circular scale's zero.
- Inserting a glass plate causes the circular scale to lie between the 18th and 19th main scale divisions, with a circular scale reading of 34 divisions.
- The zero error and thickness of the glass plate are to be determined.
- A tube of a certain diameter with a length 97 cm is open at both ends, resonating at a fundamental frequency of 160 Hz with the speed of sound being 320 m/s.
- Statements about tube diameter and frequencies when one or both ends are closed are considered
Physics - Section A (Matching List Type)
- AC circuits with AC sources contain the list -I the corresponding RMS currents described in List -II must be matched
Physics
-
A cyclic thermodynamic process involving an ideal diatomic gas is graphed with temperature and preassure
-
The list -I identifies processes and in List -II gives work done by gas in given processes
-
A circuit of resistors, inductors and a battery has multiple switches.
-
Statement of the behavior in a given circuit with listed values must be matched
-
Equations describing the motion of particles include a relative speed between an object and its image in List -I & II
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
FIITJEE All India Test Series paper for JEE (Advanced) 2025. This is Open Test - I, Paper-1. The test includes Physics, Chemistry, and Mathematics, with a total of 51 questions and a maximum score of 180.
