NEET (UG) Major Test 03: 12th Grade

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Questions and Answers

A particle moves in a circular path with tangential acceleration $a_t = 12 \text{ ms}^{-2}$. If the circle's radius is 3 m and the particle starts at rest, what time will it take for the total acceleration to make a 45° angle with the radial acceleration?

  • (1/2) s
  • (1/3) s (correct)
  • 2 s
  • 3 s

A satellite of mass 'm' orbits Earth at a height equal to Earth's radius R. What is the satellite's total energy in terms of g (acceleration due to gravity on Earth's surface)?

  • $\frac{-mgR}{4}$ (correct)
  • $\frac{mgR}{3}$
  • $\frac{mgR}{2}$
  • $\frac{-mgR}{5}$

At what angular speed of Earth's rotation would a person at the equator weigh half of their weight at the poles?

  • $0.034 \text{ rad s}^{-1}$
  • $7.65 \times 10^{-7} \text{ rad s}^{-1}$
  • $8.75 \times 10^{-4} \text{ rad s}^{-1}$
  • $1.23 \times 10^{-2} \text{ rad s}^{-1}$ (correct)

A block is in contact with a vertical wall. Find the friction force on the block.

<p>Zero (D)</p> Signup and view all the answers

A liquid rises to 2 cm in a capillary tube, with a contact angle of zero. If the tube is lowered so only 1 cm is above the liquid, what is the contact angle?

<p>$90°$ (A)</p> Signup and view all the answers

Two bodies of mass 6 kg and 4 kg are tied with a string as shown on the adjacent figure. If the table and pulley are frictionless, then what is the acceleration of the 6 Kg mass given $g = 10 \text{ ms}^{-2}$?

<p>$6 \text{ ms}^{-2}$ (A)</p> Signup and view all the answers

A disc and a ring of equal masses are rolling. If their kinetic energies are equal, what is the ratio of their velocities?

<p>$\sqrt{4}:\sqrt{3}$ (D)</p> Signup and view all the answers

Using a screw gauge with a least count of 0.001 cm, the thickness of a pencil is measured to be 0.802 cm. What is the percentage error in the measurement?

<p>0.125% (A)</p> Signup and view all the answers

In the AC circuit, the voltage of the AC source is given by $V = 20\cos(2000t)$. Neglecting the source resistance, what are the voltmeter and ammeter readings?

<p>0 V, 0.47 A (A)</p> Signup and view all the answers

Three resistors A, B, and C with values 3R, 6R, and R respectively are arranged in a network. If a voltage is applied across the network, what is the ratio of thermal powers dissipated by A, B, and C?

<p>3:2:4 (B)</p> Signup and view all the answers

A conducting loop is placed perpendicularly in an increasing magnetic field. What will be the direction of the induced current in the loop?

<p>clockwise (D)</p> Signup and view all the answers

Light with an energy flux of 40 W/cm² falls perpendicularly on a non-reflecting surface with an area of 20 cm². What is the total momentum delivered to the surface in 10 minutes (for complete absorption)?

<p>$16 \times 10^{-4} \text{ kg ms}^{-1}$ (B)</p> Signup and view all the answers

A charge (-q) and another charge (+Q) are positioned at points A and B, respectively. Keeping (+Q) fixed at B, the charge (-q) at A is moved to point C such that ABC forms an equilateral triangle with side (l). What is the net work to move (-q)?

<p>Zero (D)</p> Signup and view all the answers

A sphere with radius 3 mm falls in a viscous liquid and attains a terminal velocity of 10 cm/s. What terminal velocity will a sphere of the same material with radius 6 mm attain?

<p>40 cm/s (B)</p> Signup and view all the answers

In a meter bridge setup, two unknown resistances A and B yield a null point dividing the wire in a 3:4 ratio. If both are increased by 40Ω, the ratio becomes 7:8. Values of A and B are?

<p>40Ω, 60Ω (A)</p> Signup and view all the answers

A coin is dropped in a lift. It takes time t₁ to reach the floor when lift is stationary. It takes time t₂ when lift is moving up with constant acceleration, then:

<p>t₁ &lt; t₂ (C)</p> Signup and view all the answers

A ball thrown by a player reaches another in 2 seconds. What will be the maximum height attained by the ball above the point of projection?

<p>5m (D)</p> Signup and view all the answers

A bulb lamp emits light of mean wavelength of 4500 Å. If the lamp is rated at 150 W, using 8% as the percentage for light emitted, how many photons are emitted per second?

<p>$2.717 \times 10^{18}$ (D)</p> Signup and view all the answers

In a particular atom, transition between three energy levels gives rise to spectral lines with wavelengths (\lambda_1), (\lambda_2), and (\lambda_3) (increasing magnitudes). Which equation relates (\lambda_1), (\lambda_2) and (\lambda_3)?

<p>$\frac{1}{\lambda_3} = \frac{1}{\lambda_1} + \frac{1}{\lambda_2}$ (C)</p> Signup and view all the answers

For a nucleus, the curve of binding energy per nucleon v/s mass number is shown. w, x, y and z are indicated on the graph for four nuclei. Select the process which would release energy.

<p>w → x + z (D)</p> Signup and view all the answers

A nucleus with Z=92 emits, in a sequence, α, α, β⁻, β⁻, α, α, α, α, β⁻, β⁻, α, β⁺, β⁺, α. What is the atomic number of resulting nucleus?

<p>78 (C)</p> Signup and view all the answers

What will be the height of the image produced by a convex mirror (focal length 20 cm) when an object of height 2 mm is placed on the axis at a distance of 20 cm from the mirror.

<p>1 mm (D)</p> Signup and view all the answers

The length of a telescope is 36cm. The focal lengths of its lenses can be:

<p>30cm, 6cm (B)</p> Signup and view all the answers

In the given circuit, find the value of I_L (in mA):

<p>2.5 (C)</p> Signup and view all the answers

Which is a valid output of the given gate circuit?

<p>(\overline{A.B}) (A)</p> Signup and view all the answers

A monoatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume is TVˣ = constant, then x is:

<p>$\frac{2}{3}$ (A)</p> Signup and view all the answers

A 20g lead bullet traveling at 300 m/s strikes and halts inside a wooden block. Assuming 50% of heat is absorbed by the bullet, calculate the rise in temperature. The specific heat of lead is 150 J/kg-K.

<p>100°C (D)</p> Signup and view all the answers

When a given mass of gas is heated, a graph between volume V and absolute temperature T was obtained. During the heat process from state-1 to state-2, the pressure:

<p>decreased (C)</p> Signup and view all the answers

The dimensional formula for the magnetic moment is:

<p>[ML²TA⁻¹] (A)</p> Signup and view all the answers

If a pipe gives notes of frequencies 375 Hz, 625 Hz and 875 Hz, what is the fundamental frequency of the pipe and its type?

<p>125 Hz, open (C)</p> Signup and view all the answers

Two sitar strings A and B playing the note “Sa” are slightly out of tune and produce beats of frequency 5 Hz. The tension of the string B is slightly decreased and the beat frequency is found to decrease to 3 Hz. What is the original frequency of B, if frequency of A is 255 Hz?

<p>258 Hz (C)</p> Signup and view all the answers

With a light of 4800Å, the fringe-width is found to be 0.03 mm. What will be the fringe-width if the light of wavelength 6400Å is used?

<p>0.04 mm (A)</p> Signup and view all the answers

In Fraunhofer diffraction, light of wavelength 6328 angstroms is incident on a slit of width 0.2 mm perpendicularly. What is the angular fringe width of the secondary maxima?

<p>0.18° (A)</p> Signup and view all the answers

A rigid body of mass 4kg moves under the action of a horizontal force of 18N, on a table with kinetic friction coefficient 0.2. What will be the work done in 10 s.

<p>1250 J (D)</p> Signup and view all the answers

A horizontal long wire carries 30A, the linear density of which is 45g/m. Calculate the magnitude of the required magnetic force to balance.

<p>15 x 10^-3T (A)</p> Signup and view all the answers

Flashcards

Circular Motion Angle

In circular motion, the time at which the total acceleration makes a 45° angle with the radial acceleration.

Satellite's Total Energy

The total energy of a satellite orbiting Earth at a height equal to Earth's radius, in terms of gravitational acceleration.

Equatorial Weight Reduction

The angular speed of Earth's rotation at which a person's weight on the equator becomes half their weight at the poles.

Percentage Error

The percentage error in thickness measurement using a screw gauge with a least count of 0.001 cm, where the measured thickness is 0.802 cm.

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Induced Current Direction

Direction of induced current in a conducting loop placed perpendicularly in an increasing magnetic field.

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Momentum of Light

Total momentum delivered to a non-reflecting surface by light with a given energy flux, area, and time.

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Work and Charges

The net work done in moving a charge (-q) from point A to point C, creating an equilateral triangle ABC with side l, given charges -q at A and +Q at B.

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Terminal Velocity Ratio

The ratio of terminal velocities of two spheres with different radii falling in a viscous liquid.

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Meter Bridge Resistances

In a meter bridge, finding values of unknown resistances A and B when the null point divides the wire in specific ratios, both initially and after increasing the resistances.

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Electrostatic Force & Equilibrium

Find total force on sphere, after wire transfers its charge to it.

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Temperature & Volume

The relation between initial and final temperatures in an adiabatic process.

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Bullet Temperature

The increase in temperature of a lead bullet when it strikes a block of wood, assuming a certain percentage of heat is absorbed.

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Constant Parameter

The parameter that remains unchanged during a heating process from state-1 to state-2 for gas.

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Magnetic Moment

The dimensional formula for magnetic moment.

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Frequency

Fundamental frequency and type when a pipe produces notes of frequencies 375 Hz, 625 Hz and 875 Hz,

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Original Frequency B

The original frequency B, if frequency of A is 255 Hz.

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Final width

Final fringe when double experiment is done through a wavelength with 4800 angstroms and through 6400 angstroms.

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Magnetic Field

The value of potential, will be what when it is in the form of B = 2 *10 -2T.

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Binding energy

Identify the correct relation.

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Atomic Number

Atomic number after a nucleus emits a sequence of particles..

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Hallide compound formation

Formula of halide of elements having ionization energy 10, 16, 25, 400, 500 eV mol-1

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Shape of molecule

structure of AsF5 according to V.S.E.P.R theory

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Solid exist

Solid PCl5 exist as ?

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Statement realted

correct statement regarding NH3 and NF3?

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compound stability

correct order of Stability of the species Li₂, Li₂ and Li₂?

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Valence bond theory

Based on Valence bond theory match the coordination number and distribution of hybrid orbitals with hybridisation

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Inocorrect option

Incorrect statement of the following.?

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Basic compounds

The most basic compounds ?

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Statements realted

correct statements of the following

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Name Reaction

To find the product of two reatants ?

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Which product form

Find the product of the reaction?

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Alcohol oxidation

Cu/Δ, which alcohol not react?

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Boiling point

Correct order of boiling point is :-?

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Transgenic animal

Which of the following steps does not use a transgenic animal?

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Ethine Molecule

correct option regarding the given options.

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Correct statement

The correct statement.

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Study Notes

General Exam Information

  • This document is a test booklet for the NEET (UG) Major Test #03, scheduled for February 16, 2025.
  • It is designed for students in the 12th grade, either currently undergoing or having completed their studies, and covers the full syllabus.
  • The booklet contains 48 pages and instructions, which are to be read carefully
  • Do not open until asked to do so.

Instructions for Test Takers

  • Fill in details on the answer sheet carefully using a blue or black ballpoint pen.
  • The test duration is 3 hours and 20 minutes
  • The test booklet contains 200 questions, each worth 4 marks.
  • One mark will be deducted for each incorrect answer.
  • The maximum possible score is 720.
  • Each subject is divided into two Sections: A and B.
  • Section A consists of 35 mandatory questions
  • Section B has 15 questions, of which only 10 need to be attempted. If more than 10 are answered, only the first 10 will be evaluated. Choose the most suitable answer if a question has multiple correct options.
  • Use a blue or black ballpoint pen for filling details and marking answers.
  • Rough work should be done in the test booklet itself.
  • Hand over the answer sheet to the invigilator before leaving, but candidates may keep the test booklet.
  • Do not fold or make stray marks on the answer sheet.
  • Write your form number only in the designated areas on the test booklet and answer sheet.
  • Correction using white fluid is not allowed.
  • In case of ambiguity, the English version of the question will be considered final.

Candidate Information

  • Space is provided to write the candidate's name (in capital letters), form number (in figures and words), and center of examination (in capital letters).
  • A space for the candidate's signature and the invigilator's signature is also provided.

Physics - Section A

  • In circular motion with tangential acceleration a_t = 12 m/s², for a circle of radius 3 m, the time when total acceleration makes a 45° angle with radial acceleration is 1/2 s.
  • For a satellite of mass 'm' orbiting Earth at a height equal to Earth's radius R, the total energy is -mgR/4, g being the gravity.
  • Angular speed of Earth’s rotation for a person at the equator to have half the weight at the poles, is 8.75 × 10⁻⁴ rad/s.
  • For a block in contact with a vertical wall, friction is zero
  • If a liquid rises to 2 cm in a capillary tube with a contact angle of zero, the angle of contact when the tube is lowered so only 1 cm is above the liquid, it is 0°.
  • For two bodies of mass 6 kg and 4 kg tied with a string, where the table and pulley are frictionless, acceleration of mass 6 kg is 6 m/s².
  • For a disc and a ring of the same mass rolling with equal kinetic energies, the ratio of their velocities will be √3 : √2.
  • With a screw gauge of least count 0.001 cm, if the thickness of a pencil is 0.802 cm, the percentage error in the measurement is 0.125%.
  • For the given circuit with an AC source of V = 20 cos(2000t), voltmeter and ammeter readings are 0 V and 0.47 A, respectively.
  • For three resistors A, B, and C with resistances 3R, 6R, and R, the ratio of thermal powers dissipated is 4:2:3.
  • A conducting loop kept perpendicular to the increasing magnetic field will have a clockwise direction of induced current.
  • Light with an energy flux of 40 W/cm² incident on a non-reflecting surface of area 20 cm² delivers a total momentum of 24 × 10⁻⁵ kg m/s in 10 minutes (complete absorption).
  • The total work done in moving a charge (-q) from point A to point C such that ABC forms an equilateral triangle of side l is Zero
  • If a 3 mm radius sphere falling in a viscous liquid attains a terminal velocity of 10 cm/s, then a 6 mm radius sphere of the same material will attain 40 cm/s.

Physics - Section B

  • In gaps of meter bridge two unknown resistances A and B gives null point for the wire gets divided in ratio of 3:4, the null point is divided in ratio 7:8, the values of resistance A and B are respectively 20Ω; 30Ω
  • A coin is dropped in a lift the time to reach the floor is t₁ when lift is stationary and it takes time t2 when is moving up with constant acceleration, then t2>t₁ A ball thrown by one player reaches other player in 2 sec. The maximum height attained by the ball above the point of projection will be 5m
  • A bulb lamp emits light of mean wavelength of 4500 Å. The lamp is rated at 150 W and 8% of the energy appears as emitted light. The photons emitted by the lamp per second are 2.717 × 10¹⁸. When the three energy levels in a atom are transitioned and spectral lines of wavelength increase, then λ₁ = λ₂ - λ₃

Chemistry - Section A

  • Find the formula of halide of a metal successive ionization energies are 10, 16, 25, 400, 500 eV mol–1 respectively :-MX3
  • Which of the following electronic configuration* will have nearly zero electronegativity ?: –1s2 2s2. The shape of AsF5 according to V.S.E.P.R theory :-Trigonal bipyramidal
  • Solid PCl5 exist as – – [PCl4]+ & [PCl6]– Which of the following statement regarding NH3. and NF3 is correct .
  • Resultant dipole moment of. NH3 is (4.90 *. 10–30 cm) and that of. NF3 is (0.8 * 10–30 cm) . Stability of the species Li2, Li2+and Li2– increases in the order of :-Li2 > Li2 > Li –

Chemistry - Section B.

Match the coordination number and type of hybridisation with distribution of hybrid orbitals in space based on Valence bond theory. The isomer can be marked as :- Cis isomer Which among the following statements is incorrect. In d-block elements consecutive oxidation state differ by unity. The most basic oxide of lanthanoids is :- Eu(OH)3 Which of the statements is not true?:- Na2Cr2O7 is preferred over K2Cr2O7 in volumetric analysis If the fertilizers listed below are priced according to their nitrogen content, which will be the least expensive per 50 kg bag ? Urea, (NH2)2CO The two electrons X and Y have following sets of quantum numbers -X and Y have same energy The reaction for which. K = 2.3 * 103 moles/litre is -

Botany - Section A

  • Perisperm* is Persistent nucellus in seed
  • Which of the following can withstand high temperatures, strong acids and alkali ? -Sporopollenin In Mendelian experiment which of the following trait is dominant . Yellow seed colour 1 Table idenitifies the correct blood group gene types.

Botany -Section B

  • Following is true to the following statements*
  • a,b c,d Option statement 1 Given pedigree which is is a X link recessive eukaryotic mNRA, while prokarotic is monocystronic iii only as its the correct statement. #####Which statements are correct**
  • (1) (ii), (iii) and (v) -* is that statement answer.
  • Given mRNA sequences -* identify the amino acide
  • Methanol and serilisers - recognise
  • the lipid transfer process
  • select the
  • a-b, c-c
    

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