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Questions and Answers

If the current is given by $I = I_0 \sin(\omega t) \cos(\omega t)$, what is the RMS value of the current?

  • $I_0$
  • $I_0 / 2$
  • $I_0 / \sqrt{2}$
  • $I_0 / (2\sqrt{2})$ (correct)

In which scenario will a convex lens behave as a convergent lens, given that $\mu_m$ and $\mu_l$ are the refractive indices of the medium and lens respectively?

  • $\mu_m = 2.5$ and $\mu_l = 2.5$
  • $\mu_m = 4$ and $\mu_l = 2$
  • $\mu_m = 2.5$ and $\mu_l = 2$
  • $\mu_m = 1.5$ and $\mu_l = 2$ (correct)

Which pair of physical quantities does not share the same dimensions?

  • Terminal velocity and escape velocity
  • Rotational kinetic energy and potential energy
  • Energy density and pressure
  • Refractive index and coefficient of thermal expansion (correct)

Consider two particles, P and Q, initially at rest and moving towards each other due to mutual attraction. At a given moment, P's speed is V, and Q's speed is 4V. What is the speed of the center of mass of this two-particle system?

<p>zero (B)</p> Signup and view all the answers

Given a traveling electromagnetic wave in a vacuum with a magnetic field peak value of $60 \times 10^{-9}$ T, what is the peak value of the electric field strength?

<p>18 V/m (C)</p> Signup and view all the answers

In a particular system, if 1 C of charge is associated with $10^9$ electric field lines, determine the net number of electric field lines crossing the provided closed surface containing charges of 9$\mu$C, -2$\mu$C, and 1$\mu$C.

<p>8000 (D)</p> Signup and view all the answers

A DC circuit is presented. Across which of the following resistors is the power loss zero?

<p>55$\Omega$ (A)</p> Signup and view all the answers

Pure silicon at 300K has equal hole and electron densities of $2.4 \times 10^{16} m^{-3}$. After doping the silicon with an impurity, the hole density increases to $7.2 \times 10^{22} m^{-3}$. What is the electron density in the doped silicon?

<p>$8.0 \times 10^{9} m^{-3}$ (B)</p> Signup and view all the answers

Two blocks are at rest and connected by a taut string on a rough horizontal surface. Determine the minimum horizontal force (F) needed to initiate movement of the blocks ($g = 10 m/s^2$).

<p>16 N (D)</p> Signup and view all the answers

In the provided circuit, the potential difference between points A and B is 18 V, and the charge on the 3$\mu$F capacitor is 30$\mu$C. Calculate the capacitance of the unknown capacitor C.

<p>2$\mu$F (A)</p> Signup and view all the answers

Two particles, x and y, have equal charges and kinetic energy. They enter a uniform transverse magnetic field perpendicularly, tracing circular paths of radii $r_1$ and $r_2$, respectively. What is the ratio of their masses, $\frac{m_x}{m_y}$?

<p>$(r_1/r_2)^2$ (B)</p> Signup and view all the answers

A circular loop of radius r is moved towards a current-carrying wire. Describe the induced current in the loop as it approaches the wire.

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

In a conservative field, if the potential energy U as a function of position x is given by $U = 3x^2 + 4x + 7$, what is the corresponding conservative force F?

<p>$F = -6x - 4$ (C)</p> Signup and view all the answers

Two tuning forks with frequencies 522 Hz and 536 Hz are vibrated simultaneously. What beat frequency will be heard by a person?

<p>Beat frequency heard by a person will be 14 Hz (C)</p> Signup and view all the answers

Two projectiles are launched at angles $\theta_1$ and $\theta_2$ with respect to the horizontal ($0 < \theta_1 < \theta_2 < 90$). If both projectiles have the same time of flight, then which of the following statements is true?

<p>Only their initial vertical speeds are the same. (B)</p> Signup and view all the answers

Assuming that the gravitational force $F$ between two masses varies as $F \propto \frac{1}{r^3}$, how does the orbital speed (v) of a satellite vary with the radius $r$ of its circular orbit?

<p>$v \propto r^0$ (B)</p> Signup and view all the answers

A mark at the bottom of a liquid appears to rise by 0.4 m. If the actual depth of the liquid is 2 m, what is the refractive index of the liquid?

<p>1.25 (B)</p> Signup and view all the answers

Given a uniform magnetic field $\vec{B} = B_0 \hat{k}$ in a region and a current-carrying wire placed in the x-y plane, what is the force acting on the wire PQ, where segment PQ has length 'a'?

<p>$3aIB_0 \hat{j}$ (B)</p> Signup and view all the answers

A water tank of height 15 m is completely filled with water. Water exiting a small hole strikes the ground 15 m away from the base of the tank. What is the height of the hole from the bottom of the tank?

<p>7.5 m (C)</p> Signup and view all the answers

Two identical balls, A and B, are thrown with the same initial speed but in different directions from the top of a building of height h. If $v_A$ and $v_B$ represent the speeds with which the balls strike the ground, which of the following options is correct?

<p>$v_A = v_B$ (B)</p> Signup and view all the answers

A hydrogen atom transitions from the ground state after absorbing 12.75 eV of energy. By how much does the orbital angular momentum of the electron increase?

<p>$2.11 \times 10^{-34} Js$ (C)</p> Signup and view all the answers

The area (A) of an ink blot increases with time t according to the equation $A = (4t^3 + 9) cm^2$. What is the rate of increase of area with respect to time at t = 2 seconds?

<p>48 cm²/s (D)</p> Signup and view all the answers

Flashcards

Test Duration

The test is 3 hours long and contains 180 multiple-choice questions.

Marking Scheme

For each correct answer, you get 4 marks. For each wrong answer, 1 mark is deducted.

Prohibited Items

Do not carry any textual material, printed or written, bits of papers, pagers, mobile phones, any electronic device, etc. inside the examination room/hall.

OMR Marking

Use only blue/black dark ballpoint pens to darken the bubbles completely.

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RMS Value of Current

The root mean square (RMS) value of the current is Io/2.

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Same Dimensions

Terminal velocity and escape velocity have the same dimensions.

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Convergent Lens Condition

For convex lens to behave as convergent lens, μm = 1.5 and μ₁ = 2

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Center of Screen

Bright white band is formed at the center of the screen with Young's double-slit experiment.

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Peak Electric Field

If the magnetic field in a vacuum has a peak value of 60 × 10-9 T, the peak value of the electric field strength is 18 V/m.

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Electron Density

At the same temperature and electron density, the product of the hole density and electron density is equal to the square of intrinsic carrier concentration. Electron density in the doped silicon is 8.0 × 10^9 m-3.

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Initial Length

If the tension is 10 N, length is x. If tension is 12 N, length is y. The initial unstretched length of string is 5x – 6y

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Output Power

The output power is equal to P in an ideal transformer.

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Angular Momentum Change

A hydrogen atom absorbs 12.75 eV of energy. The orbital angular momentum of the electron is increased by 2.11 × 10-34 Js.

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Diamagnetic Susceptibility

Diamagnetic substances have a magnetic susceptibility between −1 < χ < 0

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[FeCl4]2- hybridization

Sp3 is the hybridisation of [FeCl4]2- complex

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Change in energy

Given the reaction with Au = -742.7KJ/mol the AH for the same reaction at 298K will be -743.94 KJ/mol

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True Statements

Both Assertion A and Reason R are true but R is NOT the correct explanation of A.

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If a statement is incorrect

For two statements where Statement I is correct and Statement II is incorrect

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When liquid becomes a solid

When a liquid crystallizes into a solid statement A the entropy increases and reason R on freezing the molecules attain an ordered state it is incorrect but R is true

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Translation in what?

In an RNA, UTR is not translated

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Is Halophile a?

Halophile is a Eubacteria

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Correct Statements

What are all the correct statements ? A, B and D for the virus.

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Myelinated Nerve Fiber

Enclosed by Schwann cells forming a myelin sheath with nodes of Ranvier describe myelinated nerve fibers

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Total lung capacity

4 is the number of respiratory volules and capacities included in the total lung capacity

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External Body Tissue

Which is true about cell tissue but has a free surface to the external

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Study Notes

  • Test duration is 3 hours
  • The test booklet contains 180 multiple-choice questions
  • Each correct answer awards 4 marks
  • Each incorrect answer deducts 1 mark
  • Maximum marks achievable are 720

Exam Instructions

  • Fill in all particulars on the test booklet's page
  • Only one correct response is available for each question
  • No textual material, printed or written papers, pagers, mobile phones or electronic devices are permitted inside the examination room/hall
  • Answer sheet must be handed over to the invigilator after test completion
  • Test booklets may be taken away by candidates

Optical Mark Recognition (OMR) Instructions

  • Only use blue/black dark ballpoint pens
  • Completely darken the bubbles
  • Do not half-fill or over-fill the bubbles
  • Pencils are prohibited
  • No whiteners should be used to correct filling errors
  • Writing is only allowed on the specified area of the OMR Sheet
  • Folding the answer sheet or making stray marks is prohibited

Root Mean Square (RMS) Value of Current

  • If I = I₀ sin(ωt) cos(ωt), the RMS value of current is given by I₀/2√2

Convex Lens Behavior

  • For a convex lens to act as a convergent lens, the refractive index of the lens (µL) must be greater than the refractive index of the medium (µM)

Center of Mass Speed

  • For two particles P and Q moving towards each other under mutual attraction, if the speeds of P and Q are V and 4V respectively, the speed of the center of mass of the two-particle system is zero

Peak Electric Field Strength

  • Magnetic field in vacuum with a peak value of 60 × 10⁻⁹ T has a peak electric field strength of 18 V/m.

Electric Field Lines and Charge

  • If 1 C charge has 10⁹ electric field lines, a closed surface enclosing +9µC, -2µC, and +1µC will have 8,000 net electric field lines crossing it

Statement on Vectors

  • For any two vectors A and B, A + B = B + A
  • For any two vectors A and B, A - B ≠ B - A

Doped Silicon

  • Pure Silicon (Si) at 300K with equal electron and hole densities of 2.4 × 10¹⁶ m⁻³ has the electron density reduced to 8.0 × 10⁹ m⁻³ when doped to increase hole density to 7.2 × 10²² m⁻³

Force on Blocks

  • For two blocks of 4kg and 2kg on a rough horizontal surface with coefficients of static friction 0.1 and 0.2 respectively, the minimum horizontal force required to start motion is 16N

Circuit Potential and Capacitance

  • Potential difference between points A and B is 18V
  • The circuit contains a 3µF capacitor with a charge of 30µC
  • The unknown capacitor is equal to 1µF

Relation Between Mass and Radii of Particles

  • Two particles having equal charges and equal kinetic energy enter perpendicularly in a uniform transverse magnetic field
  • Describe circular paths of radius r1 and r2
  • Masses are related as (r1/r2)²

Induced Current in a Circular Loop

  • A circular loop moving towards a current-carrying wire will have a first anticlockwise and then clockwise current induced

Conservative Force

  • Potential energy U as a function of position x described by U= 3x2 + 4x + 7 corresponds to a conservative force F = –6x – 4

Beat Frequency

  • Beating two tuning forks of frequencies 522 Hz and 536 Hz simultaneously means a person hears a beat frequency of 14 Hz.

Projectile Motion

  • Two projectiles thrown at angles 𝜃1 and 𝜃2(𝜃1 < 𝜃2 < 90°) possess the same time of flight
  • Initial vertical speeds are of the same value

Gravitational Force

  • For gravitational force F between two masses varying as F ∝ 1/r³, the orbital speed (v) of a satellite in a circular orbit varies with radius r as v ∝ 1/r

Bottom Mark Rising

  • The refractive index of a liquid is 1.25, given that a mark at the bottom appears to rise by 0.4m and the liquid depth is 2m.

Force Acting on a Wire

  • A current-carrying wire in a uniform magnetic field experiences a force. For a uniform magnetic field B = Bok, the force acting on wire PQ will be 3aIBok

Water Tank Hole

  • The height of the hole from the bottom is 7.5 m
  • A water tank of height 15m is completely filled with water
  • The water hits the ground 15m away from the tank's bottom as it flows out of the hole

Balls Speed

  • Two identical balls are thrown from a building with initial speed in different directions, the speeds with which balls strike the ground are equal

Sodium Surface Illumination

  • Minimum KE of emitted electrons equals 0 eV
  • The surface of the sodium is illuminated light of wavelength 7000 angstroms
  • Work function equals 1.6 eV

Thermodynamic Process

  • During the thermodynamic process AB, on an ideal gas
  • The work done is first negative, then positive

Force on Particle

  • With a force F(t) = (9-2t) N acting on a particle, magnitude of impulse imparted from t=0s to t=5s will be 20Ns

Ring

  • Even if the ring is heated the air gap AB will remain shrinking because distances between any two points on an object increases with the increase in temperature

Tangential Acceleration

  • A particle starts from rest and moves in a circle of radius 4/π m with uniformly increasing speed, completes 4 revolutions in first 2 s of motion, the tangential acceleration is 16 m/s²

Ideal Transformer Power Output

  • In an ideal transformer with primary to secondary turns ratio of 3:7, an input power of P will result in an output power equal to P

Elastic String

  • Given the length of an elastic string is x m when the tension is 10 N and y m when the tension is 12 N, the initial unstretched length is 6x-5y

Maximum Height of Particle

  • When a particle is dropped from a height of 1,000 m, and the coefficient of restitution of the particle touching the ground is 1/4, the maximum height attained by the particle after two collisions with the ground will be 100/33 m

De-Broglie Wavelength

  • A charged particle q enters a region of perpendicular uniform magnetic field B. The de-Broglie wavelength associated with the charged particle moving in the magnetic field is h/qBR, where R is the radius of trajectory and h Planck's constant.

Angular Momentum and Energy Absorption

  • A hydrogen atom in ground state absorbs 12.75 eV of energy has its orbital angular momentum increased by 3.17 × 10⁻³⁴ Js

Significant Figures

  • 26480 kg : 4 significant figures
  • 32.0 m : 3 significant figures
  • 0.21693 N/m : 5 significant figures
  • 1.2 × 10⁶ C : 2 significant figures

Electrical Wire Force

  • In this closed electrical wire shape, it is possible to find the resulting force using the tangent that makes 37 degree to the y-axis (4mg/5)

Average Air Velocity

  • The average velocity is 7 m/s
  • It can be obtained by calculating area and dividing by the time

Magnetic Susceptibility for Diamagnetic Substance

  • Magnetic susceptibility is -1 < x < 0

Distance From West To East

  • A man should swim 30° North of West

Velocity Time Graph of Bike

  • The average velocity of the bike is 5m/s

Energy on Earth vs 2R

  • The potential energy would be 1/6 mgR

Naming Compound

  • Cyclohexylbutanoic acid

Reaction Rate

  • 0.7 + 0.2 to give the rate

Given Quantum Number

  • The electrons for a electron having highest energy in sodium atom the values will be, (1= 0, s= +1/2)

If GIVEN

  • AH= -743.94

Electrical Resistance Formula

  • Resistivity of 200 is present

Baeyer's Reagent Product

  • Propene on reaction with Bayer's reagent produces CH3-CH-CH3 with an OH on the second and third carbon

Dipole Moments

  • Incorrect dipole dipole for (CO2 < SO2)

List of elements

  • Gd: 4f76s²
  • Eu: 4f75d¹6s²
  • Lu: 4f¹⁴5d¹6s²
  • La: 5d¹6s²

List period

  • Halogens exhibit the maximum ionization enthalpy in the period

List:Complexes

  • [FeCl₄]²⁻ : sp³
  • [PtCl₄]²⁻ : dsp²
  • [CoF₆]⁴⁻ : sp³d²
  • [Cr(H₂O)₆]³⁺ : d²sp³

Determining Glucose Reaction

  • Glucose reacts to to form Gluconic Acid

Equilibrium Constant

  • Adding inert gas is one way to not affect constant.

Nitrogen Assertion

  • Nitrogen assertion exhibits 15 oxidation state, the reason does not exhibit +5 oxidation state

Balancing Reaction

  • Balancing reactions is 4 and 3 in proportions

Statements Amine

  • The amine produced by Hoffmann's bromamide degradation of benzamide is aniline, trimethyl

Beta-isomers

  • The geometrical is 4

oxidation of pheromone

  • Benyzye

Statements

  • The statement are always ordered and increased in the ordered state

Acetone Reaction

  • Acetone reacts with MGB products to form 2 methylpropane 2-o1

P values

  • The greatest P value is seen OH on the Carbon to CN

Colour Coordination

  • Purple: Cr₂O₇²⁻
  • Orange: CrO₄²⁻
  • Green: MnO₄²⁻
  • Yellow: MnO₄²⁻

Species are known

  • BF₆³⁻ is known

Non-Aromatic

  • Non aromatic means that it lacks electron gain.

The formation of water

  • A refers that the point follows the most stable state of H₂

Cornea Values

  • Cornea comes from vitamin A, the lack there of

Electrolysis

  • Hydrogen can be generated at cathode
  • Oxygen can be generated at anode

Ca and List Elements

  • Elements for all, D is all, B is none or only certain amounts

Group V

  • Copper can be from Group 5

Frequency

  • Use the formula given and choose the right one.

Boiling Order

  • Propane<ethano<methox

Carious

  • Is 10.21

Non-Benzoid

  • Tropone

Ethanal

  • Product obtained heating NaOH is 4

###Diamagnetic

  • Diamagnetic series (H-),

Urea

  • Kb = 0.52 k

Bacteria

  • The glycocalyx in many bacteria with loose sheath is "capsule"

Human Genome

  • The human Genome Project was 13year project

Genes in Operon

  • The incorrect word operon is "inducer "

Cell

  • Mesophyll

Cell division

  • Mitosis will happen before that, meiosis 2 is the answer or what process

Production and Productivity

  • Statement 1 is correct that means it has 170 million

Logic Growth

  • Has geometric curve

Mender

  • Generation 9:3:3:1 (F2 dehidribe cross)

Tissues

  • Provides mechanical to petiole of leaf

Mobile Between

  • The mobile carriet that allows transfer is 11 to 14

Pyruvic Acid

  • An item used for alcohol fermentation

The correct pairs are

  • Marchantia : gemmae
  • Sphangnum: Peat
  • Selaginella : microphylls
  • Ferns : macrophylls

02H2

  • Methanos grow with O2H2.

A researcher tests different drugs for their effects on

insomnia. Which of the following drugs is least likely to improve sleep and mental illnesses? (1) Cocaine

  • A2B2 is the correct one and makes it very correct.

  • Hepatitis
  • Vessopressin
  • Estrogen on Memory

The wrong pair is

  • A4B1CID2.

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