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Questions and Answers

A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when the mass is at the ______ point.

lowest

When a block of mass M is suspended by a long wire of length L, the length of the wire becomes (L+I). The ______ potential energy stored in the extended wire is: $Mgl$

elastic

Ionized hydrogen atoms and α-particles with the same momenta enter perpendicular to a constant magnetic field, B. The ratio of their radii of their paths $r_H : r_\alpha$ will be: ______

2:1

Body A of mass 4m moving with speed u collides with another body B of mass 2m, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body A is: ______

<p>8/9</p> Signup and view all the answers

In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1 m away, was found to be 0.2°. If the entire experimental apparatus is immersed in water, the angular width of the first minima will be approximately: ______°. (μwater = 4/3)

<p>0.15</p> Signup and view all the answers

In which of the following devices, the eddy current effect is ______? Induction furnace

<p>not used</p> Signup and view all the answers

A soap bubble, having a radius of 1 mm, is blown from a detergent solution having a surface tension of $2.5 \times 10^{-2}$ N/m. The pressure inside the bubble equals at a point Zo below the free surface of water in a container. Taking g=10 m/s², density of water = $10^3$ kg/m³, the value of Zo is: ______ cm

<p>0.5</p> Signup and view all the answers

Which color of light has the longest ______? Red

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

A disc of radius 2 m and mass 100 kg rolls on a horizontal floor. Its centre of mass has a speed of 20 cm/s. How much work is needed to stop it? ______ J

<p>3</p> Signup and view all the answers

The displacement of a particle executing simple harmonic motion is given by $y = A_0 + A\sin(\omega t) + B\cos(\omega t)$. Then the amplitude of its oscillation is given by: ______

<p>$\sqrt{A^2 + B^2}$</p> Signup and view all the answers

Two similar thin equi-convex lenses, of focal length f each, are kept coaxially in contact with each other such that the focal length of the combination is $F_1$. When the space between the two lenses is filled with glycerin then the equivalent focal length is $F_2$. The ratio $F_1 : F_2$ will be: ______

<p>1:2</p> Signup and view all the answers

Increase in temperature of a gas filled in a container would lead to increase in its ______ energy.

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

An electron is accelerated through a potential difference of 10,000 V. Its de Broglie wavelength is, (nearly): (m=9×10-31 kg) ______

<p>12.2 x 10^-12 m</p> Signup and view all the answers

A copper rod of 88 cm and an aluminum rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is: (αCu = 1.7 × 10^-5 K^-1 and αAl = 2.2 × 10^-5 K^-1 ). ______

<p>68 cm</p> Signup and view all the answers

Pick the wrong answer in the context with the rainbow, An observer can see a rainbow when his ______ is towards the Sun.

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

A body weighs 200 N on the surface of the earth. How much will it weigh half way down to the center of the earth?. ______

<p>100 N</p> Signup and view all the answers

Six similar bulbs are connected as shown in the figure with a DC source of emf E, and zero internal resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation when two from section A and one from section B are glowing, will be : ______.

<p>9:4</p> Signup and view all the answers

Average velocity of a particle executing SHM in one complete vibration is: ______.

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

The unit of thermal conductivity is: ______.

<p>Wm^-1K^-1</p> Signup and view all the answers

A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to stop it after 2 revolutions is: ______ Nm

<p>2X10^-6</p> Signup and view all the answers

A force F = 20+10y acts on a particle in the y-direction where F is in newton and y in meter. Work done by this force to move the particle from y=0 to y=1 m is : ______ J.

<p>25</p> Signup and view all the answers

Which of the following acts as a circuit protection device?. ______

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

When a particle is connected circuits and is exposed to the electricity then the one thing that acts and save is ______.

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

A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre: zero as r increases for r < R, ______ increases as r increases for r > R

<p>increases as r increases</p> Signup and view all the answers

For the reaction 2Fe^3+ (aq) + 2I^−(aq) ⟶ 2Fe^2+ (aq) + I2 (aq), E°cell = 0.24 V at 298 K. The value of ΔG° of the cell reaction is ______ kJ mol^-1. (Given: Faraday constant F = 96500 C mol^-1)

<p>-46.32</p> Signup and view all the answers

The most suitable reagent for the following conversion, is :H3C-C≡C-CH3 → cis-2-butene ______

<p>H2,Pd/C,quinoline</p> Signup and view all the answers

α-particle consists of: ______

<p>2 protons and 2 neutrons only</p> Signup and view all the answers

A particle moving with velocity $\vec{v}$ is acted by three forces shown by the vector triangle PQR. The velocity of the particle will ______

<p>remain constant</p> Signup and view all the answers

Two particles A and B are moving in uniform circular motion in concentric circles of radii $r_A$ and $r_B$ with speed $v_A$ and $v_B$ respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be ______.

<p>1:1</p> Signup and view all the answers

A block of mass 10 kg is in contact against the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be: (g = 10 m/s²). ______ rad/s

<p>$\sqrt{10}$</p> Signup and view all the answers

Two parallel infinite line charges with linear charge densities +λ C/m and -λ C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges? ______ $N/C$

<p>$\frac{\lambda}{\pi \epsilon_0 R}$</p> Signup and view all the answers

Two point charges A and B, having charges +Q and -Q respectively, are placed at certain distance apart and force acting between them is F. If 25% charge of A is transferred to B, then force between the charges becomes: ______ F

<p>9/16</p> Signup and view all the answers

A small hole of the area of cross-section $2 mm^2$ is present near the bottom of a fully filled open tank of height 2 m. Taking g = 10 m/s^2, the rate of flow of water through the open hole would be nearly: ______ $m³/s$.

<p>12.6 x 10^-6</p> Signup and view all the answers

A 800 turn coil of effective area 0.05 $m^2$ is kept perpendicular to a magnetic field $5 \times 10^{-5}$ T. When the plane of the coil is rotated by 90° around any of its coplanar axis in 0.1 s, the emf induced in the coil will be : ______ V

<p>0.02</p> Signup and view all the answers

The radius of the circle, the period of revolution, initial position and sense of revolution are indicated in the fig. y-projection of the radius vector of rotating particle P is: y(t) = 3 cos(πt/2) ,where y in ______

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

Which of the following is a commercial blood cholesterol lowering agent?. ______

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

The concept of Omnis cellula-e cellula regarding cell division was first proposed by. ______

<p>Rudolf Virchow</p> Signup and view all the answers

Flashcards

Test Booklet Instructions

Do not open the test booklet until instructed. Follow back cover instructions.

Test Duration and Marks

3 hours; 180 questions; 4 marks per correct answer, -1 for incorrect; max 720 marks.

Permitted Pen

Use blue/black ballpoint pen.

Rough Work Location

Do rough work in the Test Booklet only.

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After the Test

Hand over the Answer Sheet to the invigilator, take the Test Booklet with you.

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Booklet and Sheet Codes

Ensure the CODE on the Answer Sheet matches the Test Booklet. Report any discrepancy to the Invigilator immediately.

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Answer Sheet Handling

Do not fold or make stray marks on the Answer Sheet. Write the Roll No. where stipulated. No white fluid.

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Elastic Potential Energy in Wire

The stored elastic potential energy is ( \frac{1}{2} ) Mgl.

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Wire Breaks in Circle

The wire is most likely to break with the mass at the lowest point in vertical circle.

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Radii Ratio: H to Alpha

Ratio of radii (r_{H}: r_{\alpha}) is 2:1

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Fraction Energy Lost (Collision)

The fraction of energy lost by the colliding body A is ( \frac{8}{9} ).

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Angular Width - Immersion

Angular width is reduced when immersed in water: ( \mu = \frac{4}{3} )

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Eddy Current Usage

The eddy current effect is not used? : electric heater.

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Bubble's value

(Zo = 0.5) cm

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Longest Wavelength Color

The color of light that has the longest wavelength is red.

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Work - Stopped Disc

3 J

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Oscillation Amplitude Formula

Amplitude of oscillation is ( \sqrt{A^2+ B^2} )

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Ratio Lenses

For two lenses, the ratio (F_{1} : F_2) will be 1:2

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Increase Temp Gas

Increase in temperature of a gas filled in a container will lead to: increase in its kinetic energy

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De Broglie Wavelength

De Broglie wavelength is 12.2 x 10^{-12} m

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Relation Copper Rod

Relation between Copper and area: 68

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Rainbow: Reflection

Rainbow: 1) When the light rays undergo two internal reflections in a water drop, a secondary rainbow is formed.

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Body Weight: Surface:Earth

A body weight 200 N on the surface of the earth. How much will it weigh half way down to the centre of the earth? 100 N

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Power Consumption: Ratio

Ratio: P = 1:2

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semiconductor statements

Holes are the majority carriers and trivalent atoms are the dopants.

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Average velocity particle

The average velocity of a particle executing SHM in one complete vibration is: zero

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Thermal Conductivity: Unit

The unit of thermal conductivity is: (J m^{-1} K^{-1})

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Solid cylinder Torque

A solid cylinder of mass (2 \mathrm{kg}) and radius (4 \mathrm{cm}) is rotating about its axis at the rate of (3 tpm\ The torque required to stop after 2 revolutions is: (1) (2 \times 10^{-6} \mathrm{Nm})

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Y Direction force

A force (F = 20 + 10y) acts on a particle in (q)- direction where I is in newton and "*in meter. Work done by this force to move the particle from (y=0) to (I-I I m) is: (1) JoJ

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Circuit Protection

Which of the following acts as a circuit protection device? A fuse

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Voltmeter's, Ammeter's

(V_{2} > V_{1} and i_{1} > i_{2}).

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Hollow field

When (p) increases, (r , and (r > R).

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dip, in (B) = -(25^(@)).

A and B are both located in the northern hemisphere.

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kinetic and potential energies

The total energy the electron in an atom= (3.4 eV). If kinetic and potential energies are (3.4 eV, - 6.8 eV).

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Internal refraction

Angle of refraction? (90^(@))

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Study Notes

Exam Instructions and Guidelines

  • The answer sheet is inside the test booklet, to be removed and filled with a blue/black ballpoint pen upon instruction to open the booklet.
  • The exam duration is 3 hours, comprising 180 questions, each worth 4 marks, with a deduction of 1 mark for each incorrect answer. The maximum score is 720.
  • Usage of blue/black ball point pen is allowed for filling details and marking responses.
  • Rough work to be done in the designated space within the test booklet only.
  • Answer sheet must be handed over to the invigilator before leaving the exam hall and candidates can take away the question paper
  • The code on the booklet (P1) and the answer sheet must match, discrepancy to be reported to invigilator to replace both.
  • Answer sheet should not be folded or have stray marks, Roll number to be written only in the specified areas, and use of white fluid for correction is not allowed.
  • In case of any ambiguity in translation of any question, English version shall be treated as final.

Physics

  • Elastic potential energy in an extended wire: When a block of mass M is suspended by a wire of length L that extends by l, the elastic potential energy stored is Mgl/2.
  • Breaking point of a wire in vertical circular motion: A wire with a mass m attached, whirled in a vertical circle, is most likely to break when the mass is at the lowest point
  • Ratio of radii of paths for ionized particles in a magnetic field: For ionized hydrogen atoms and alpha particles with the same momentum entering a constant magnetic field B, the ratio of their radii rH : ra will be 2:1.
  • Energy loss in elastic collision: In a head-on elastic collision of a body A of mass 4m with a body B of mass 2m at rest, the fraction of energy lost by A is 8/9.
  • Angular width of first minima in water: The angular width of the first minima in a double-slit experiment with underwater apparatus, using light of 400 nm, is found to be 0.15°.
  • Eddy current applications: Eddy current effect is not used in electric heaters.
  • Pressure inside a soap bubble:
  • Surface tension considerations determine pressure. For a soap bubble of radius 1 mm formed with a solution having a surface tension of 2.5 × 10⁻² N/m, the additional pressure inside equals the pressure at a depth of 0.5 cm below water surface.
  • Highest wavelength of light: Red light has the longest wavelength.
  • Work needed to stop a rolling disc: A rolling disc of mass 100 kg and radius 2 m, with a center of mass speed of 20 cm/s, requires 3 J of work to be stopped.
  • Resultant amplitude in Simple harmonic motion: If the displacement of a particle in SHM is given by y = A₀ + A sin ωt + B cos ωt, the amplitude of oscillation is √(A² + B²).
  • Focal length of lenses in contact: Two identical thin equiconvex lenses in contact have a combined focal length of F₁. With glycerin (μ = 1.5) in the space between, equivalent focal length becomes F₂. The ratio F₁ : F₂ is 1:2.
  • Effect of temperature increase on gas: Increasing the temperature of a gas in a container increases its kinetic energy.
  • De Broglie wavelength of accelerated electron: An electron accelerated through 10,000 V has a de Broglie wavelength of approximately 12.2 × 10⁻¹² m.
  • Increase in length of rods: For a copper rod of length 88 cm and aluminium rod of unknown length to maintain a constant difference in lengths regardless of temperature increase, the length of the aluminium rod is 68 cm.
  • Rainbow context : An observer can see a rainbow when his front is towards the sun is a wrong statement.
  • Weight at half the radius: The weight of a body 200 N on Earth's surface will be 100 N if taken half way down to the Earth's center.
  • Power consumption with bulbs : Six bulbs are connected as shown in the figure with a DC source of emf E, and zero internal resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation when two from section A and one from section B are glowing, will be 9:4 .
  • Semiconductors: Holes are the majority carriers and trivalent atoms are the dopants in p-type semiconductors.
  • Average velocity of a particle exectuing SHM: Average velocity of a particle executing SHM in one complete vibration is zero.
  • Thermal conductivity unit: The unit of thermal conductivity is Wm⁻¹K⁻¹.
  • Torque to stop a rotating cylinder: The torque required to stop a solid cylinder of mass 2 kg and radius 4 cm rotating at 3 revolutions per minute (rpm) after 2 revolutions (rotations) is 2×10⁻⁶ Nm.
  • Work done by a force: Work done by a force F = 20+10y (in newtons) acting on a particle in the y-direction to move the particle from y=0 to y=1 m is 25 J.
  • Circuit protection: A fuse acts as a circuit protection device.
  • Voltmeters and Ampmeters in circuits: V2 > V1 and i1 > i2.
  • Electric field due to a spherical charge: When a hollow metal sphere of radius R is uniformly charged, the electric field due to the sphere at a distance r from the center increases as r increases for r < Rend for.
  • Angle of dip: A and B are both located in the northern hemisphere.
  • The relation between total energy, kinetic energy and potential energy: In an atom,The total energy of an electron is -3.4 eV then its kinetic and potential energies are 3.4 eV and -6.8eV respectively.
  • Angles of incidence and and refraction : The work done by the gas is30J.
  • α-particle:α-particle consists of2 protons and 2 neutrons only.
  • Swimming velocity related problems: 30° west.
  • Three forces acting on a particle and the relation to its motion with some velocity: remain constant.
  • Ratio of angular speeds:
  • Cylinder in contact against the inner wall rotating:
  • Linear charge densities: zero.
  • Two points which have charges:

Chemistry

  • Green house gas is not: Among the following, the one that is not agreen house gas is sulphur dioxide.
  • Sponteneity of a reaction: Given that Faraday constant F =96500 C mol-1 then the ΔrG = -46.32 kJ mol-1.
  • Catalyst in biochemical reactions: Among the following, Enzymes that utilize ATP in phosphate transfer require an alkaline earth metal (M) as the cofactor then M is :Mg.
  • Reagents in chemistry: To covert a H3C-C=C-CH3 → cis-2-butene then the The most suitable reagent is H₂, Pd/C, quinoline.
  • Stability of compounds: Among the following the correct Increase in temperature:Li < Be < B < C < O < N < F < Ne .
  • Biodegradable compounds : Among the following the biodegradable polymer is nylon 2-nylon 6.
  • Structures in chemistry: The correct structure of tribromooctaoxide is.
  • Reactions: For 4d, 5p, 5f and 6p orbitals that are arranged in the order of decreasing energy is 5f>6p>5p>4d .
  • Relationship with compounds: Select the correct option which is (a) and (b) only.
  • Constant pressure :Under isothermal condition, a gas constant pressure of 2bar then the value is 30J.
  • Functional groups in Compounds is:Among the functional groups Among the following, the one that is not a green house gas is:sulfur dioxide.
  • Formulae: For the cell reaction 2Fe+3(aq) + 2I-(aq) → 2Fe+2(aq) + I2(aq) given cell = 0.24V at 298 K. The standard Gibbs energy G of the cell reaction is:-46.32.
  • Catalysis:H2. Pd/C. quinolineis Most suitable reagent for the following conversion.
  • Thermochemistry correct is H2Po < H2Te<H2Se < H₂S less-than H2O.
  • Correct statements among the following is 5f and 6p is greate than 5p greater than 4d.
  • Reactions and its conditions in chemistry are a and b is the correct answer among the followin.
  • Lequal mass: =30J.
  • Isomerism: A is 0-CH2CH3
  • Structures related questions can be easily found, where CH3H2C- C-0-0- H
  • Relation between O and N are 0=Br-Br-Br=0
  • The formula and mechanism relation questions can be found,the correct option isnylon 2 and nylon 6
  • Physical and chemical properties A can see a rainbow when his front is towards the sun.
  • Ionic nature are electrons are the majority carriers and trivalent atoms are the dopants.
  • Ionic representation withSix bulbs are connected as shown in the figure with a DC source of emf E, and zero internal resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation.
  • In the power formula the final answer is . Wm-1 K-1
  • In electronics there is the fuse . in the circuits are V2 > V1 and i1 > i2.
  • Spherical nature: increases as r increases for r < Rand fort > R
  • Total energy is:. 3.4 eV. Its kinetic and potential energies are, respectivély3.4 eV, -6.8 eV
  • Red colour:The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is 32mgR
  • Alpa particle:1:√2
  • About a double bond: a.d linear.
  • Charge: 4:9
  • Types:30° west
  • Vector and triangles: remain constant
  • Radio waves is .9.

Biology

  • A: Coliform - I Relation1. Most suitable.
  • A:Coliforum - 1 structure.
  • Structures relations: a.e most preferrable is .0 × 102
  • P-P reaction in 1800 the first structure that has a high potential will work : Treamitide.
  • In which of the conditions well there B.
  • Types of function in 3 functions will well and they both work.
  • A B are the related formulasA2 and root c the more uitable a will the high with the best functions.
  • A functional question.
  • Types of function A a .D related to.
  • The function will not increase the number: And its an increase in the number of cells 4.
  • Type if vector functions with all angles in it.
  • H2A can also be done under the reaction of and 3/2
  • Structure and functional relations: A4
  • And all will funtion under all .
  • The A - 1 relation 3 : And that well be there from the a D related with those functional cells.
  • Relation with 4 with there 2 functional and all angles in it.

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