JEE Main Full Syllabus Quiz 2023-2024
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Questions and Answers

Students having 8 digits Form No. must fill two zeros before their Form No. in OMR. For example, if your Form No. is ______, then you have to fill ______.

12345678, 0012345678

What is the maximum marks for the JEE(Main) test?

300

What is the duration of the JEE(Main) test?

3 Hours

Reading the instructions carefully is important before starting the exam.

<p>True</p> Signup and view all the answers

What is the sum of the number of Ni-N, Ni-O bonds and intramolecular hydrogen bonds in bis-(dimethylglyoxime) nickel(II)?

<p>7</p> Signup and view all the answers

Which of the following is the correct decreasing order of acidic strength?

<p>A &gt; B &gt; C &gt; D</p> Signup and view all the answers

Match the following tests with their corresponding color results:

<p>CAN Test = Scarlet Red Molisch's Test = Rhumann's Purple Ninhydrin Test = Red β -naphthol (Azo dye test) = Violet</p> Signup and view all the answers

What is the major product in a given reaction sequence?

<p>Product A</p> Signup and view all the answers

Given the information, what is the value of y?

<p>The value of y has to be calculated based on the equations provided.</p> Signup and view all the answers

When 1M Pb(NO3)2 solution is titrated with 1M KI solution, what will be the osmotic pressure when the equivalence point is reached at 300K?

<p>Osmotic pressure in atm can be calculated.</p> Signup and view all the answers

What is the standard reduction potential of the reaction PbCl2 + 2e– → Pb + 2Cl–?

<p>Standard reduction potential value needs to be calculated.</p> Signup and view all the answers

Find the value of x + y where x is the number of molecules/Ions where resonance takes place and y is the number of ions where X - O bond order is greater than or equal to 1.5.

<p>Value of x + y needs to be determined.</p> Signup and view all the answers

How many of the following colors are correctly matched with the ppt./residue?

<p>The number needs to be computed from given options.</p> Signup and view all the answers

What is the maximum number of moles of hot concentration HI that can be consumed by 1 mole of a given reactant?

<p>The value needs to be calculated.</p> Signup and view all the answers

What does (X + Y) equal if provided with relevant equations?

<p>The value of (X + Y) must be calculated based on information provided.</p> Signup and view all the answers

Which of these statements are true? (Select all that apply)

<p>Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1</p> Signup and view all the answers

Which of the following statements can be deduced from the force-extension graph for a rubber band?

<p>I and III</p> Signup and view all the answers

What is the amplitude of the electric field given the intensity of light is 500 W/m²?

<p>√3 × 10² N/C</p> Signup and view all the answers

What is the correct atmospheric pressure (in cm of Hg) calculated from the given parameters?

<p>75.4</p> Signup and view all the answers

In a step-up transformer with a turns ratio of 3 and a current of 2A in the primary coil, what will be the voltage and current in the secondary coil?

<p>300 V, 1.5 A</p> Signup and view all the answers

In Young's double slit experiment, what should be the width of each slit to obtain 5 maxima of the two slit interference pattern?

<p>0.2 mm</p> Signup and view all the answers

Calculate the value of x, the shunt resistance in a galvanometer circuit, given a specific deflection angle.

<p>x ohm</p> Signup and view all the answers

What is the value of y when a 40 Henry inductor coil is connected to a resistance in series, according to the given conditions?

<p>y</p> Signup and view all the answers

Find the moment of inertia (in kg m²) of the wheel, given the mass and distance parameters.

<p>Calculated value</p> Signup and view all the answers

Which statements are correct for the borax bead test?

<p>i, ii only</p> Signup and view all the answers

How many people use only a wristwatch?

<p>200</p> Signup and view all the answers

What type of relation is R = {(a, b) : a, b ∊ R, 1 + ab > 0}?

<p>Symmetric and transitive but not reflexive</p> Signup and view all the answers

Is the equation of a common tangent for the given circle and parabola y = x + 5 correct?

<p>Both A and R are correct and R is the correct explanation of A</p> Signup and view all the answers

If z + √2|z + 1| + i = 0, then what is |z|^2?

<p>6</p> Signup and view all the answers

Which equation has roots 3α and 4α?

<p>7x^2 - 245x + 250 = 0</p> Signup and view all the answers

What is |→x| when →a and →b are two perpendicular unit vectors such that →x = →b − (→a × →x)?

<p>√2</p> Signup and view all the answers

What is the derivative of the function f(x) = cos^{-1} {(2 cos x − 3 sin x)/√13} + sin^{-1} {(2 sin x + 3 cos x)/√13} with respect to √(1+x^2)?

<p>2x</p> Signup and view all the answers

Which of the following statements is correct regarding the variation of instantaneous current and instantaneous emf in a circuit?

<p>The voltage lags behind the current by π / 2.</p> Signup and view all the answers

Assertion: In α-emission, the α-particle carries the major share of the energy. Reason: In α-decay, the α-particle being lighter has more kinetic energy. Choose the correct option.

<p>Assertion is True, Reason is True; Reason is a correct explanation for Assertion.</p> Signup and view all the answers

If a liquid of mass 2m and specific heat c is heated to temperature 2T, and another liquid of mass m and specific heat 2c is heated to temperature T, what will be the resulting temperature after mixing?

<p>(8/5) T</p> Signup and view all the answers

In a travelling microscope, the main scale reads 8.45 cm and the 30th division of the vernier coincides with the main scale division. What will be the reading?

<p>8.5625 cm</p> Signup and view all the answers

What happens to the emitted radiation when the filament current in the electron gun of a Coolidge tube is increased?

<p>The intensity increases while the minimum wavelength decreases.</p> Signup and view all the answers

What is the ratio of the radii of two spherical nuclei with mass numbers 512 and 64?

<p>1.5</p> Signup and view all the answers

If the mobility of electrons and holes in pure germanium at room temperature is 0.88 and 0.12 m2/V-s respectively, and the densities are equal to 5.0 × 10^19/m3, what will be the conductivity of germanium?

<p>4</p> Signup and view all the answers

An ideal gas follows the process P2V3 = constant. What is the volume expansion coefficient?

<p>2T</p> Signup and view all the answers

Match the following potentials with their points in the circuit:

<p>Potential of point A = zero Potential of point B = 2V Potential of point C = 4V Potential of point D = 6V</p> Signup and view all the answers

What is the speed of an electron released from rest on the inner surface of a charged plate when it hits the opposite plate, given a potential difference of 40V?

<p>3.75 × 10^6 m/s</p> Signup and view all the answers

Investigating light from three stars A, B, and C, if A has maximum orange intensity, B has maximum indigo intensity, and C has maximum green intensity, what can be concluded about their temperatures?

<p>The temperature of A is maximum, B is minimum and C is intermediate.</p> Signup and view all the answers

Choose the correct statements regarding electric lines of force:

<p>Charge particles may or may not move along electric field lines when released from rest.</p> Signup and view all the answers

If a bulb's image is to be obtained on a parallel wall using a convex lens, what is the required focal length of the lens placed between the walls, given the distance between the walls is 'd'?

<p>Only d/4</p> Signup and view all the answers

When a thick photosensitive surface is illuminated with light of wavelength λ, the stopping potential is v. When illuminated by light of wavelength 4λ, the stopping potential is v/10. What is the threshold wavelength for metallic surfaces?

<p>4λ</p> Signup and view all the answers

Statement-1: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Is this statement true or false?

<p>True</p> Signup and view all the answers

Study Notes

JEE (Main) Details

  • Exam Code: 1001CJA101021230058
  • Duration: 3 Hours
  • Maximum Marks: 300
  • Session: Academic Year 2023 - 2024
  • Test Type: Test Series and Course Package (Score-II) for JEE (Main and Advanced)

Important Instructions

  • Students with an 8-digit Form Number must prefix it with two zeros when filling out the OMR sheet.
  • Example: For Form No. 12345678, it should be filled as 0012345678.

Additional Information

  • Emphasis on reading instructions thoroughly before starting the exam.
  • Instructions are provided in both English and another language for clarity.

Exam Structure and Marking Scheme

  • Maximum marks for the exam are 80, divided into two sections.
  • Each section consists of Multiple-Choice Questions (MCQs) with four options for each question.
  • Scoring System:
    • +4 marks for each correct answer.
    • 0 marks for unanswered questions.
    • -1 mark for incorrect answers.

Topics Covered in Physics MCQs

  • Instantaneous current (I) and instantaneous emf (E) variations in circuits.

    • The relationship between current and voltage phases is tested.
  • Alpha emission and decay concepts.

    • Understanding energy transfer and particle movement is key.
  • Specific heat calculations when mixing different liquids.

    • Analyze final temperature based on mass and specific heat of the combined liquids.
  • Measurements with a travelling microscope.

    • Application of vernier scale readings for precision.
  • Radiation emitted from a Coolidge tube.

    • Effects of filament current and potential difference on radiation intensity.
  • Relation between nuclear mass numbers and radius ratios of spherical nuclei.

  • Conductivity of pure germanium at room temperature.

    • Consider electron and hole mobility and densities.
  • Ideal gas behavior under specific pressure and volume relationships.

    • Understanding of volume expansion coefficients derived from gas laws.
  • Circuit analysis with batteries.

    • Assessing the potential at various points in a circuit configuration.
  • Electric fields and charge movement.

    • Insights into electric field lines and the behavior of charged particles in these fields.

Key Physics Principles and Concepts

  • Understanding of spectrum analysis of stars to infer temperature relationships.

    • Intensity of various colors indicates respective star temperatures.
  • Electric lines of force and their relationship to electric intensity.

    • Important to differentiate between proportionality and independence of electric line density.
  • Image formation with convex lenses between parallel walls.

    • Application of optical principles to determine required focal length.
  • Photoelectric effect and stopping potential associated with varying wavelengths.

    • Relates thresholds in wavelength to stopping potentials.
  • Momentum conservation principles in collisions.

    • Fundamental understanding of energy transfer during elastic and inelastic collisions.
  • Mechanics of rubber bands and their behavior under stress.

    • Force-extension relationships define material properties and behavior under load.

Miscellaneous Key Observations

  • Questions range from theoretical principles to practical applications in laboratory settings.
  • Students should be familiar with both fundamental concepts as well as applied physics scenarios in their problem-solving approaches.### Light Intensity and Electric Field Amplitude
  • Light intensity from a source is 500 W/m².
  • The amplitude of the electric field in this wave is given multiple options:
    • (A) √3 × 10² N/C
    • (B) 2√3 × 10² N/C
    • (C) √3 × 10² N/C / 2
    • (D) 2√3 × 10¹ N/C

Barometer Reading and Atmospheric Pressure

  • A barometer reads 75.0 cm at a room temperature of 30 °C.
  • Scale graduated for 0 °C, coefficient of linear expansion for steel is α = 1.2 × 10⁻⁵/°C.
  • Coefficient of volume expansion for mercury is γ = 1.8 × 10⁻⁴/°C.
  • Correct atmospheric pressure is estimated close to:
    • (A) 75
    • (B) 75.4
    • (C) 74
    • (D) 74.6

Transformer Specifications

  • A step-up transformer has a turns ratio of 3 with efficiency of 0.75.
  • Primary coil current is 2A, and voltage is 100V.
  • Secondary coil output voltage and current correspond to:
    • (A) 150 V, 1.5 A
    • (B) 300 V, 0.5 A
    • (C) 300 V, 1.5 A
    • (D) 150 V, 0.5 A

Young's Double Slit Experiment

  • Distance between slits S1 and S2 is 1.0 mm.
  • To achieve 5 maxima in the central maximum of the single slit pattern, the required slit width options include:
    • (A) 0.2 mm
    • (B) 0.4 mm
    • (C) 12 cm
    • (D) 0.1 mm

Numerical Value Questions

  • Candidates need to attempt 5 out of 10 numerical value questions in Section II.
  • Marking scheme:
    • Full Marks: +4 for a correct answer
    • Zero Marks: 0 for unanswered
    • Negative Marks: –1 for a wrong answer

Miscellaneous Physics Questions

  • For varying magnetic fields and induced EMF, calculated through given magnetic induction formulas.
  • Concepts of impulse associated with blocks under gravitational influence.
  • Energy dissipation rate across resistances in inductive systems.
  • The relationship between light intensity starvation due to polarization sheets.

Borax Bead Test Chemistry

  • Clarification on statements related to the borax bead test and its outcomes in reactions with metal oxides.
  • Items include properties of alkaline solutions formed, colored bead formations, and back bonding presence in borax.

Nickel Complex Chemistry

  • In bis-(dimethylglyoximato)nickel(II), summation of specific bonds (Ni-N, Ni-O, intramolecular hydrogen bonds) is evaluated with various choices in total counts.
  • Assertion and Reason questions address oxidation states of transition metals and their electronic configurations.

Acidic Strength Comparison

  • Assessment of acidic strength among different compounds presented in multiple-choice formats, determining the correct decreasing order.

These notes encapsulate key academic concepts and numeric calculations in physics and chemistry, aligned with exam preparation strategies.### Chemical Tests and Reactions

  • CAN Test: Identified by a Scarlet Red color.
  • Molisch's Test: Produces a Purple color.
  • Ninhydrin Test: Results in a Red color.
  • β-Naphthol (Azo dye test): Displays a Violet color.

Reasons and Assertions in Chemistry

  • Assertion A: Aryl halides cannot be formed by halogenating phenols via hydroxyl group replacement.
  • Reason R: Phenols react violently with halogen acids.
  • To evaluate the assertions, analyze their truth and whether reason R correctly explains assertion A.

Purification and Extraction Techniques

  • Solubility Principle: Used in Differential Extraction for purifying compounds based on solubility in two different solvents.
  • Column Chromatography: A method that also relies on solubility for separation and purification processes.

Oxygen Preparation Methods

  • Reaction of potassium chlorate:
    2KClO3 → 2KCl + 3O2 (MnO2 as a catalyst).
  • Decomposition of silver oxide:
    2Ag2O → 4Ag + O2.
  • Catalytic decomposition of hydrogen peroxide is another method.

Oxide Behavior in Aqueous Solutions

  • V2O3 changes from basic to less basic (V2O4) and finally to amphoteric (V2O5).
  • V2O4 dissolves in acids, forming VO2+ salts.
  • V2O5 interacts with both bases and acids, producing different vanadium ions.

Evaluation of Statements in Mathematics

  • Multiple-choice questions: Each question has one correct answer, with scores based on accuracy.
  • Key concepts in survey data and real number relations, as well as curve equations and tangents.

Key Chemistry Concepts

  • The formula for carbon dioxide complexes involving cobalt in aqueous medium can be influenced by equilibrium constants indicating vibrational energy levels.
  • The thermal breakdown of diborane in ammonia can vary in efficiency, affecting the yield of products.

Color and Precipitation Matching

  • Identification of correctly matched colors with various precipitates, such as:
    • Fe(OH)2(CH3COO –): Brown Red.
    • PbCrO4: Red.
    • CrO5: Yellow.
  • Importance of color matching in identifying chemical compounds.

Reaction Products and Stoichiometry

  • Digging into the maximum number of moles of reagents that can be used in a reaction, such as hot concentrated HI with a mole ratio.
  • Cannizzaro reactions help in understanding oxidation-reduction mechanisms in organic chemistry.

Condensing Information

  • This text consists of various definitions, procedural reactions, and calculations that are pivotal for understanding chemical behaviors, testing methods, assertions in chemical reactions, and purification techniques essential for mastering chemistry concepts.

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