Question Paper (Section wise)

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

A metallic rod of mass per unit length 0.5 kg m^-1 is lying horizontally on a smooth inclined plane which makes an angle of 30° with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0.25 T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is

An inductor 20 mH, capacitor 100 μF and a resistor 50 Ω are connected in series across a source of emf, V = 10 sin 314 t. The power loss in the circuit is

A thin diamagnetic rod is placed vertically between the poles of an electromagnet. When the current in the electromagnet is switched on, the diamagnetic rod is pushed up, out of the horizontal magnetic field. Hence the rod gains gravitational potential energy. The work required to do this comes from

Current sensitivity of a moving coil galvanometer is 5 div/mA and its voltage sensitivity (angular deflection per unit voltage applied) is 20 div/V. The resistance of the galvanometer is

In the circuit shown in the figure, the input voltage V_i is 20 V, V_BE = 0 and V_CE = 0. The values of I_B, I_C and β are given by

In a p-n junction diode, change in temperature due to heating

In the combination of the following gates the output Y can be written in terms of inputs A and B as

Suppose the charge of a proton and an electron differ slightly. One of them is –e, the other is (e+ ∆e). If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero, then ∆e is of the order od [Given mass of hydrogen m_h = 1.67 × 10^-27 kg]

The resistance of a wire is ‘R’ ohm. If it is melted and stretched to ‘n’ times its original length, its new resistance will be:

The given electrical network is equivalent to:

The de-Broglie wavelenght of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is:

Which one of the following represents forward bias diode?

A long solenoid of diameter 0.1 m has 2 × 10⁴ turns per meter. At the center of the solenoid, a coli of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate of 0A form 4 A in 0.05 s. If the charge flowing through the coli during this time is:

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t₁. On other days, If she remains stationary on the moving escalator, then the escalator takes her up in time t₂. The time taken by her to walk up on the moving escalator will be:

Young’s double slit experiment is first performed in air and then in a medium other than air. It is found that 8^th bright fringe in the medium lies where 5^th dark fringe lies in air. The refractive index of the medium is nearly.

A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle θ, the spot of the light is found to move through a distance y on the scale. The angle θ is given by:

Planck’s constant (h), speed of light in vacuum (c) and Newton’s gravitational constant (G) are three fundamental constant, which of the following combinations of these has the dimension of length?

Two cars P and Q start from a point at the same time a straight line and their positions are represented by x_p (t) = at + bt² and x_Q (t) = ft – t². At what time do the cars have the same velocity?

In the given figure, a = 15 m/s² represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is

A rigid ball of mass m strikes a rigid all at 60° and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be

A bullet of mass 10 g moving horizontally with a velocity of 400 ms^-1 strikes a wooden block of mass 2 kg which is suspended by a light inextensible string of length 5 m. As a result, the center of gravity of the block is found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be

Two identically balls A and B having velocities of 0.5 m/s and -0.3 m/s respectively collide elastically in one dimension. The velocities of B and A  after the collision respectively will be

A particle moves from a point  to when a force of  N is applied. How much work has been done by the force?

Two rotating bodies A and B of masses m and 2 m with moments of inertia I_A and I_B (I_B > I_A) have equal kinetic energy of rotation. If L_A and L_B be be their angular momenta respectively, then

A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere the ratio of their kinetic energies of rotation (E_sphere / E_cylinder) will be

A uniform rope of length L and mass m1 hangs vertically from a rigid support. A block of mass m₂ is attached to the free end of the rope. A transverse pulse of wavelength λ₁ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the ropes is λ₂. The ratio λ₂/ λ₁ is:

A refrigerator works between 4°C and 30°C. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is: (Take 1 cal = 4.2 Joules)

An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm, the next larger length of the column resonating with the same tuning fork is:

Consider the junction diode as ideal. The value of current flowing through AB is:

The charge flowing through a resistance R varies with time t as Q = at – bt², where a and b are positive constants. The total heat produced in R is:

A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U₁, at wavelength 500 nm is U₂ and that at 1000 nm is U₃. Wien’s constant, b = 2.88 × 106 nmK. Which of the following is correct?

Coefficient of linear expansion of brass and steel rods are α₁ and α₂. Length of brass and steel rods are l₁ and l₂ respectively. If (l₂–l₁) is maintained same at all temperatures, which one of the following relations holds good?

A npn transistor is connected in common emitter configuration in a given amplifier. A load resistance of 800 Ω is connected in the collector circuit and the voltage drop across it is 0.8V. If the current amplification factor is 0.96 and the input resistance of the circuit is 192Ω, the voltage gain and the power gain of the amplifier will respectively be:

The intensity at the maximum in a Young’s double slit experiment is I₀. Distance between two slits is d = 5λ, where λ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D = 10 d?

4.0 g of a gas occupies 22.4 litres at NTP, The specific heat capacity of the gas at constant volume is 5.0 JK^-1. If the speed of sound in this gas at NTP is 952 ms^-1, then the heat capacity at constant pressure is- (Take gas constant r = 8.3 JK^-1 mo^-1)

If vectors  are functions of time, then the value of t at which they are orthogonal to each other is-

In the given figure, a diode D is connected to an external resistance R = 100 Ω and an e. m. f. of 3.5 V. If the barrier potential developed across the diode is 0.5 V, the current in the circuit will be-

If potential (in volts) in a region is expressed as V(x, y ,z) = 6xy – y + 2yz, the electric field (in N/C) at point (1, 1, 0) is-

A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25 × 10⁶m above the surface of earth. If earth’s radius is 6.38 × 10⁶m and g = 9.8 ms^-1, then the orbital speed of the satellite is-

Two metal wires of identical dimensions are connected in series. If σ₁ and σ₂ are the conductivities of the metal wires respectively, the effective conductivity of the combination is

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compare to the satellite is very small compare to the mass of the earth. Then,

Two particles A and B, move with constant velocities At the initial momentum their position vectors are respectively. The condition for particles and B for their collision is-

Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius r/2 and the lighter one is radius r. The tangential speed of lighter stone is an times that of the value of heavier stone when they experience same centripetal forces. The value of n is-

Which one is a wrong statement?

Consider the following species:

CN⁺, CN^- , NO and CN

Which one of these will have the highest bond order?

In the structure of CIF₃, the number of lone pairs of electrons on central atom ‘CI’ is:

The correct order of atomic radii in group 13 elements is:

The correct order of N – compounds in its decreasing order of oxidation states is:

Which one of the following elements is unable to from   ion?

Which of the following statements is not true for halogens?

Considering Ellingham diagram, which of the following metals can be used to reduce alumina?

For the redox reaction

the correct coefficients of the reactants for the balanced equation are:

Ionic mobility of which of the following alkali metal ions is lowest when aqueous solution of their salts are put under an electric fields?

The most suitable method of separation of 1 : 1 mixture of ortho and para – nitrophenols  is

HgCl₂ and I₂ both when dissolved in water containing I^- ions the pair of species formed is:

Mixture of chloroxylenol and terpineol acts as:

An example of a sigma bonded organometallic compound is:

A first order reaction has a specific reaction rate of 10^-2 sec^-1. How much time will it take for 20 g of the reactant of reduce to 5 g?

Match the interhalogen compound of column I with the geometry in column II and assign the correct code.

Codes:

Concentration of the Ag+ ions in a saturated solution of Ag₂C₂O₄ is 2.2 × 10^-4 mol L^-1. Solubility product of Ag₂C₂O₄ is:

In the electrochemical cell:

Zn|ZnSO₄ (0.01 M) ∣∣ CuSO4 (1.0 M)| Cu, the emf of this Daniel cell is E₁. When the concentration of ZnSO₄ is changed to 1.0 M and that of CuSO₄ is changed to 0.01 M, the emf changes to E₂. From the followings, which one is the relationship between E₁ and E₂?

The coagulation values in millimoles per litre of the electrolytes used for the coagulation of As₂S₃ are given below:

I. (NaCl) =52, II. (BaCl₂) = 0.69, III. (MgSO4) = 0.22

During the electrolysis of molten sodium chloride, the time required to produce 0.10 mole of chlorine gas using a current of 3 amperes is

How many electrons can fit in the orbital for which n = 3 and 𝓁 = 1?

For a sample of perfect gas when its pressure is changed isothermally from p_i to p_f, the entropy change is given by

The van’t Hoff factor (i) for a dilute aqueous solution of the strong electrolyte barium hydroxide is

The percentage of pyridine (C₅H₅N) that forms pyridinium ion (C₅H₅N⁺H) in a 0.10 M aqueous pyridine solution (Kb for C₅H₅N = 1.7 × 10^–9) is

In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion (Ca²⁺) and fluoride ion (F^–) are

If the E°_cell for a given reaction has a negative value, which of the following gives the correct relationships for the values of ∆G° and K_eq?

Which one of the following is incorrect for ideal solution?

MY and NY₃ two nearly insoluble salts, have the same K_sp value of 6.2 × 10^-13 at room temperature. Which statements would be true in regard to MY and NY₃?

In a protein molecule various amino acids are linked together by:

Natural rubber has:

Match items of Column I with the items of Column II assign the correct code:

Which one of the following statements is correct when SO₂ is passed through acidified K₂Cr₂O₇ Solution?

The electronic configurations of Eu (Atomic No.63), Gd (Atomic No. 64) and Tb (Atomic No.65) are:

Two electrons occupying the same orbital are distinguished by:

When copper is heated with conc. HNO₃ it produces:

Which of the following reagents would distinguish cis-cyclopenta-1, 2-diol from the trans-isomer?

A gas such as carbon monoxide would be most likely to obey the ideal gas law at:

If Avogardo number NA, is changed form 6.022 × 10²³ mol⁻¹ to 6.022 × 10²⁰ mol⁻¹, this would change:

Gadolinium belongs to 4f series. It’s atomic number is 64. Which of the following is the correct electronic configuration of gadolinium?

What is the pH of the resulting solution when equal volumes of 0.1M NaOH and 0.01 M HCl are mixed?

Decreasing order of stability of

The correct statement regarding defects in crystalline solids is:

Which of the following statements is not correct for a nucleophile?

The hybridization involved in complex [Ni(CN)₄]²⁻ is:    (At. No. Ni = 28)

The stability of +1 oxidation state among Al, Ga, In and Tl increase in the sequence:

Casparian strips occur in

Plants having little or no secondary growth are

A ‘new’ variety of rice was patented by a foreign company, though such varieties have been present in India for a long time. This is related to

Which of the following is commonly used as a vector for introducing a DNA fragment in human lymphocytes?

Use of bio resources by multinational companies and organisation without authorisation from the concerned country and its people is called

Select the correct match:

The correct order of steps in Polymerase Chain Reaction (PCR) is

In India, the organisation responsible for assessing the safety of introducing genetically modified organisms for public use is

The stage during which separation of the paired homologous chromosomes begins is

The Golgi complex participates in

Stomatal movement is not affected by

Stomata in grass leaf are

The two functional groups characteristic of sugars are

Which of the following is not a product of light reaction of photosynthesis?

Which of the following is true for nucleolus?

Which among the following is not a prokaryote?

Winged pollen grains are present in

After karyogamy followed by meiosis, spores are produced exogenously in

The vascular cambium normally gives rise to:

Thalassemia and sickle cell anemia are caused due to a problem in globin molecule synthesis. Select the correct statement:

The genotypes of husband and wife are I^AI^B and I^Ai.

Among the blood types of their children, how many different genotypes and phenotypes are possible?

Which of the following facilitates the opening of stomatal aperture?

In Bougainvillea thorns are a modification of:

Which one of the following is related to ex-situ conservation of threatened animals and plants?

Root hairs develop from the region of:

A disease caused by an autosomal primary non-disjunction is:

The water potential of pure water is:

Which of the following options gives the correct sequence of events during mitosis?

The process of separation and purification of expressed protein before marketing is called

A temporary endocrine gland in the human body is:

Which of the following is made up of dead cells?

An example of colonial algae is:

Match the following sexually transmitted diseases (Column-I) with their causative agent (Column-II) and select the correct option.

The function of copper ions in copper releasing IUDs is:

Which of the following in sewage treatment removes suspended solids?

An important characteristic that Hemichordates share with Chordates is:

Radial symmetry is found in the flowers of

Free-central placentation is found in

Cortex is the region found between

The balloon-shaped structure called tyloses

A non-proteinaceous enzyme is

Select the mismatch.

Select the wrong statements.

A cell organelle containing hydrolytic enzymes is

During cell growth, DNA synthesis takes place in

Which of the following biomolecules is common to respiration-mediated breakdown of fats, carbohydrates and proteins?

A few drops of sap were collected by cutting across a plant stem by a suitable method. The sap was tested chemically. Which one of the following test results indicates that it is phloem sap?

You are given a tissue with its potential for differentiation in an artificial culture. Which of the following pairs of hormones would you add to the medium to secure shoots as well as roots?

Phytochrome is a

Which is essential for the growth of root tip?

The process which makes major difference between C₃ and C₄ plants is

Which one of the following statements is not correct?

Which one of the following generates new genetic combinations leading to variation?

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

Microtubules are the constituents of:

A complex of ribosomes attached to a single strand of RNA is known as:

Fertilisation in humans is practically feasible only if:

Asthma may be attributed to:

The Avena curvature is used for bioassay of:

The standard petal of a papilionaceous corolla is also called

Tricarpellary, syncarpous gynoecium is found in flowers of:

One of the major component of cell wall of most fungi is:

Select the incorrect statement:

In meiosis crossing over is initiated at

A tall true breeding garden pea plant is crossed with a dwarf true breeding garden pea plant. When the F₁ plants were selfed, the resulting genotypes were in the ratio of:

Which of the following is the most important cause of animals and plants being driven to extinction?

Which one of the following is a characteristic feature of cropland ecosystem?

Changes in GnRH pulse frequency in females is controlled by circulating level of:

Which of the following is not a feature of plasmids?

Which of the following features is not present in Periplaneta americana?

In higher vertebrates, the immune system can distinguish self-cells and non-self cells. If this property is lost due to genetic abnormality and it attacks self-cells, then it leads to:

Match the terms in Column-I with their description in Column-II and choose the correct option:

Golden rice is a genetically modified crop plant where the incorporated gene i's meant for biosynthesis of:

Outbreeding is an important strategy of animal husbandry because it:

Which one of the following hormones though synthesised elsewhere, is stored and released by the master gland?

An association of individuals of different species living in the same habitat and having functional interaction is:

In which of the following both pairs have correct combination?

Identify the correct order of organisation of genetic material from largest to smallest:

A jawless fish, which lays eggs in fresh water and whose ammocoetes larvae after metamorphosis return to the ocean is:

Industrial melanism is an example of:

Cell wall is absent in:

The chitinous exoskeleton of arthropods is formed by the polymerisation of:

Filiform apparatus is a characteristic feature of: