Question Paper (Section wise)

A carbon resistor of (47 ± 4.7) kΩ is to be marked with rings of different colours for its indentification. The colour code sequence will be

A set of 'n' equal resistors, of value 'R' each, are connected in series to a battery of emf 'E' and internal resistance 'R'. The current drawn is I. Now, the 'n' resistors are connected in parallel to the same battery. Then the current drawn from battery becomes 10 I. The value of 'n' is

A battery consists of a variable number 'n' of identical cells (having internal resistance 'r' each) which are connected in series. The terminals of the battery are short-circuited and the current I is measured. Which of the graphs shows the correct relationship between I and n?

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to

Three objects, A: (a solid sphere), B: (a thin circular disk) and C: (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation.

Which one of the following statements is incorrect?

A moving block having mass m, collides with another stationary block having mass 4m. The lighter block comes to rest after collision. When the initial velocity of the lighter block is v, then the value of coefficient of restitution (e) will be

A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27°C two successive resonances are produced at 20 cm and 73 cm of column length. If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27°C is

The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A is

If θ₁ and θ₂ be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip θ is given by:

Two cars moving in opposite directions approach each with speed of 22 m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound 340 m/s]

Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively.

A thin prism having refracting angle 10° is made glass of refracting index 1.42. This prism is combination with another thin prism of glass of refracting index 1.7. This combination produces dispersion without deviation. The refracting angle of second prism should be:

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then:

A potentiometer is an accurate and versatile device to make electrical measurements of E. M. F. because the method involves:

A spherical black body with a radius of 12 cm radiates 450 watt power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be:

Figure shows a circuit that contains three identical resistor with resistance R = 9.0 Ω each, two identical inductors with inductance L = 2.0 mH each, and an ideal battery with emf ε = 18 V. The current “i” through the battery just after the switch closed is,…

Radiaactive material ‘A’ as decay constant ‘8 λ’ and material ‘B’ has decay constant ‘λ’. Initially they have same number of nuclei. After what time, the ratio of number of muclei of material ‘B’ to that ‘A’ will be

A light rod of length l has two masses m₁ and m₂ attached to its two ends. The moment of inertia of the system about an axis perpendicular of the rod and passing through the center of mass is

Starting from the centre of the each having radius R, the variation of g (acceleration due to gravity) is shown by

A satellite of mass m is orbiting the earth (or radius R) at a height h from its surface. The total energy of the satellite in term of g₀. The value of acceleration due to gravity at the earth’s surface, is

A rectangular film of liquid is extended from (4cm × 2 cm) to (5 cm × 4 cm). if the work done is 3 × 10-4 J, the value of the surface tension of the liquid is

Three liquids of densities ρ₁ ρ ₂ and ρ ₃ (with ρ ₁ > ρ ₂ > ρ ₃), having the same value of surface T, rise to the same height in three identical capillaries. The angles of contact θ₁, θ₂ and θ₃ obey

Two identical bodies are made of a material for which the heat capacity increase with temperature. One of these is at 100°C, while the other one is at 0°C. if the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is

A body cools from a temperature 3T to 2T in 10 minutes. The room temperature is T. Assume that Newton’s law of cooling is applicable. The temperature of the body at the end of next 10 minutes will be

One mole of an ideal monatomic gas undergoes a process described by the equation PV³ = constant. The heat capacity of the gas during this process is

The temperature inside a refrigerator is t2 °C and the room temperature is t₁ °C. The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be

A uniform circular disc of radius 50 cm at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of 2.0 rad s^-2. Its net acceleration in ms^-2 at the end of 2.0 s is approximately:

An electron of mass m and a photon have same energy E. The ratio of de-Broglie wavelengths associated with them is:

A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

The angle of incidence for a ray of light at a refracting surface of a prism is 45°. The angle of prism is 60°. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are:

When an α–particle of mass ‘m’ moving with velocity ‘ν’ bombards on a heavy nucleus of charge ‘Ze’ its distance of closest approach from the nucleus depends on m as: 

A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to 8×10-4 J by the end of the second revolution after the beginning of the motion?

The molecules of a given mass of a gas have r.m.s. velocity of 200 ms^-1 at 27°C and 1.0 × 105 Nm^-2 pressure. When the temperature and pressure of the gas are respectively, 127°C and 0.05 × 105Nm^-2, the r.m.s. velocity of its molecules in ms^-1 is:

A long straight wire of radius a carries a steady current I. The current is uniformly distributed over its cross–section. The ratio of the magnetic fields B and B’, at radial distances  and 2a respectively, from the axis of the wire is

A parallel plate air capacitor has capacity ‘C’, distance of separation between paltes is ‘d’ and potential difference ‘V’ is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is-

The position vector of a particle  as a function of time is given by-Where R is in meters, t is in second and  and  denote unit vectors along x and y direction, respectively. Which one of the following statements for the motion of particle?

A series R-C circuit is connected to an alternating voltage source. Consider two situations:

(i)    When capacitor is air filled

(ii)  When capacitor is mica filled

Current through resistor is I and voltage across capacitor is V then:

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is-

The coefficient of performance of a refrigerator is 5. If the temperature inside freezer is - 20°C, the temperature of the surrounding to which it rejects is

A photoelectric surface is illuminated successively by monochromatic light of wavelenght λ and π/2. If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the surface of the material is-

In an astronomical telescope in normal adjustment a straight block line of length L is drawn on inside part of objective lens. The eye-piece from a real image of this line. The length of this image is I. The magnification of the telescope is:

Two slits in Young’s experiment have width in the ratio 1:25. The ratio of the intensity at the maxima and minima in the interference pattern  is:

Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 time the density of B. The ratio of molecular weight of A and B is-

Which one of the following conditions will favour maximum formation of the product in the reaction:

A₂ (g)  +  B₂(g)   ⇌   X₂(g)        ΔH =-X kJ

The correction factor ‘a’ to the ideal gas equation corresponds to:

When initial concentration of the reactant is doubled, the half-life period of a zero order reaction:

The bond dissociation energies of X₂, Y₂ and XY are in the ratio of 1:0.5:1. ΔH for the formation of XY is -200 kJ mol^-1. The bond dissociation energy of X₂ will be:

Match the metal ions given in column I with the spin magnetic moments of the ions given in Column II and assign the correct code:

Which one of the following ions exhibits d-d transition and paramagnetism as well?

The type of isomerism shown by the complex [CoCl₂ (en)₂] is

The geometry and magnetic behavior of the complex [Ni(CO)₄] are

Iron carbonyl. Fe (CO)₅ is

Which of the following pairs of compound is isoelectronic and isostructual?

The IUPAC name of the compound

Which one is the wrong statement?

Which is the incorrect statement?

The species, having bond angles of 120° is

For a given reaction, ΔH = 35.5 kJ mol^-1 and ΔS = 83.6 JK^-1mol^-1. The reaction is spontaneous at: (Assume that ΔH and ΔS do not vary with temperature)

Which of the following is a sink for CO?

If molality of the dilute solution is doubled the value of molal depression constant (K_f) will be:

Which of the following is dependent on temperature?

The solubility of AgCl(s) with solubility product 1.6 ×10^–10 in 0.1 M NaCl solution would be

Suppose the elements X and Y combine to form two compounds XY₂ and X₃Y₂. When 0.1 mole of XY₂ weights 10 g and 0.05 mole of X₃Y₂ weight 9 g, the atomic weights of X and Y are

The number of electrons delivered at the cathode during electrolysis by a current of 1 ampere in 60 seconds is (Charge on electron = 1.60 × 10^–19 C)

Boric acid is an acid because its molecule

AlF₃ is soluble in HF only in presence of KF. It is due to the formation of

Zinc can be coated on iron to produce galvanized iron but the reverse is not possible. It is because

The suspension of slaked lime in water is known as

The hybridizations of atomic orbitals of nitrogen in  respectively are

Which of the following fluoro-compounds is most likely to behave as a Lewis base?

The correct thermodynamic conditions for the spontaneous reaction at all temperature is:

Lithium has a bcc structure. Its density is 530 kgm^-3 and its atomic mass is 6.94 gmol^-1 Calculate the edge length of a unit cell of Lithium metal. (N_A = 6.02 × 10²³ mol^-1)

Which one of the following orders is correct for the bond dissociation enthalpy of halogen molecules?

Which of the following is an analgesic?

Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escapes in the time required for one-half of the hydrogen to escape?

Consider the nitration of benzene using mixed conc. H₂ SO₄ and HNO₃. If a larger amount of KHSO₄ is added to the mixture, the rate of nitration will be:

Predict the correct order among the following:

The product obtained as a results of a reaction of nitrogen with CaC₂ is:

Consider the following liquid – vapour equilibrium.

                      Liquid   ⇌ Vapour

Which of the following relations is correct?

The sum of coordination number and oxidation number of the metal M in the complex [M(en)₂(C₂O₄)] Cl] is: ( where en is ethylenediamine)

Which of the statements given below is incorrect?

In the extraction of copper from its sulphide ore, the metal is finally obtained by the reduction of cuprous oxide with:

Which one of the following pairs of solution is not an acidic buffer?

Assuming complete ionization, same moles of which of the following compounds will require the least amount of acidified KMnO₄ for complete oxidation?

The number of structural isomers possible from the molecular formula C₃H₉N is:

20.0 of a magnesium carbonate sample decomposes on heating to give carbon dioxide and 8.0 g magnesium oxide. What will be the percentage purity of magnesium carbonate in the sample?

Two possible stereo-structures of CH₃CHOH. COOH, which are optically active, are called:

The heat of combustion of carbon to CO₂ is −393.5 kJ/mol. The heat release upon formation of 35.2 g  of CO₂ from carbon and oxygen gas is:

Which one is wrongly matched?

Match the items given in column I with those in column II and select the option given below:

Which of the following flowers only once in its life-time?

Which of the following pairs is wrongly matched?

Offsets are produced by

Which of the following has proved helpful in preserving pollen as fossils?

Select the correct statement:

The experimental proof for semiconservative replication of DNA was first shown in a

Select the correct match:

Match the items given in Column I with those in Column II and select the correct option given below:

Which of the following options correctly represents the lung conditions in asthma and emphysema respectively?

Match the items given in Column I with those in Column II and select the correct option given below:

All of the following are part of an operon except

AGGTATCGCAT is a sequence from the coding strand of a gene. What will be the corresponding sequence of the transcribed mRNA?

According to Hugo de Vries, the mechanism of evolution is

Match the items given in column I with those in column II and select the correct option given below:

A woman has X-linked condition on one of her X chromosomes. This chromosome can be inherited by

Ciliates differ from all other protozoans in

The final proof of DNA as the genetic material came from the experiments of:

Among the following characters, which one was not considered by Mendel in his experiments on pea?

Plants which produce characteristic pneumatophores and show vivipary belong to:

The pivot joint between atlas and axis is a type of:

With reference to factors affecting the rate of photosynthesis, which of the following statements is not correct?

DNA fragments are:

Which of the following components provides sticky character to the bacterial cell?

Which of the following options best represents the enzyme composition of pancreatic juice?

Which among these is the correct combination of aquatic mammals?

Fruit and leaf drop at early stages can be prevented by the application of:

Select the correct route for the passage of sperms in male frogs:

In case of a couple where the male is having a very low sperm count, which technique will be suitable for fertilization?

Which ecosystem has the maximum biomass?

Lungs are made up of air-filled sacs, the alveoli. They do not collapse even after forceful expiration because of:

Presence of plants arranged into well-defined vertical layers depending on their height can be seen best in:

Which of the following statements is correct?

Alexander Von Humboldt described for the first time:

Zygotic meiosis is characteristic of:

In majority of angiosperms

Pollination in water hyacinth and water lily is brought about by the agency of

The ovule of an angiosperm is technically equivalent to

Taylor conducted the experiments to prove semiconservative mode of chromosome replication on

The mechanism that causes a gene to move from one linkage group to another is called

The equivalent of a structural gene is

A true breeding plant is

Which of the following rRNAs acts as structure RNA as well as ribozyme in bacteria?

Stirred-tank bioreactors have been designed for

A molecule that can act as a genetic material must fulfill the traits given below, except

DNA-dependent RNA polymerase catalyses transcription on one strand of the DNA which is called the

Interspecific hybridisation is the mating of

Which of the following is correct regarding AIDS causative agent HIV?

Among the following edible fishes, which one is a marine fish having rich source of omega- 3 fatty acids?

Match Column-I with Column-II and selected the correct option using the codes given below:

Biochemical Oxygen Demand (BOD) may not be a good index for pollution of water bodies receiving effluents from

The principle of competitive exclusion was stated by

Which of the following National Park is home to the famous musk deer of Hangul?

Joint Forest Management concept was introduced in India during:

Pick out the correct statements:

(a) Haemophilia is a sex-linked recessive disease.

(b) Down’s syndrome is due to aneuploidy.

(c) Phenylketonuria is an autosomal recessive gene disorder.

(d) Sickle cell anaemia is an X-linked recessive gene disorder.

Which one of the following statements is wrong?

Proximal end of the filament of stamen is attached to the:

Which of the following approaches does not give the defined action of contraceptive?

The Taq polymerase enzyme is obtained from:

Identify the correct statement on ‘inhibin’:

Which part of the tobacco plant is infected by Meloidogyne incognita?

Antivenom injection contains preformed antibodies while polio drops that are administered into the body contain:

Which one of the following cell organelles is enclosed by a single membrane?

Lack of relaxation between successive stimuli in sustained muscle contraction is known as:

Which of the following is not a stem modification?

Water soluble pigments found in plant cell vacuoles are:

Select the correct statement:

Which of the following is not required for any of the techniques of DNA fingerprinting available at present?

Which type of tissue correctly matches with its location?

A plant in your garden avoids photorespiratory losses, has improved water use efficiency, shows high rates of photosynthesis at high temperatures and has improved efficiency of nitrogen utilisation. In which of the following physiological groups would you assign this plant?

Which of the following structures is homologous to the wing of a bird?

Flowers are unisexual in:

Roots play insignificant role in absorption of water in:

Balbiani rings are sites of:

Which of the following pairs is not correctly matched?

Ectopic pregnancies are referred to as:

Choose the wrong statement:

The function of gap junction is to: