The dimension of 12 0 E2, where 0 is permittivity of free space and E is electric field, is
- ML2T-2
- ML-1T-2
- ML2T-1
- MLT-1
203 questions with answers and solutions.
The dimension of 12 0 E2, where 0 is permittivity of free space and E is electric field, is
A particle moves a distance x in time t according to equation x = (t + 5)-1. The acceleration of particle is proportional to
A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18 s. What is the value of v? (Take g = 10 m/s2)
A particle has initial velocity (3 i + 4 j) and has acceleration (0.4 i + 0.3 j). Its speed after 10 s is
Six vectors, a through f have the magnitudes and directions indicated in the figure. Which of the following statements is true? [figure]
A block of mass m is in contact with the cart C as shown in the figure. The coefficient of static friction between the block and the cart is . The acceleration of the cart that will prevent the block from falling satisfies [figure]
A ball moving with velocity 2 m/s collides head on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in m/s) after collision will be
An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 m/s. The mass per unit length of water in the pipe is 100 kg/m. What is the power of the engine?
A circular disk of moment of inertia It is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed i. Another disk of moment of inertia Ib is dropped coaxially onto the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed . The energy lost by the initially rotating disc to friction is
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be :
A gramophone record is revolving with an angular velocity . A coin is placed at a distance r from the centre of the record. The static coefficient of friction is . The coin will revolve with the record if
A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre, will be :
The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be
A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor, the distance of the man above the floor will be
A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conducts an amount of heat Q in time t. The metallic rod is melted and the material is formed into a rod of half the radius of the original rod. What is the amount of heat conducted by the new rod, when placed in thermal contact with the two reservoirs in time t?
The total radiant energy per unit area, normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature T K is given by
Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature t C, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is where is the Stefan's constant.
If and represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?
The displacement of a particle along the x-axis is given by x = a 2 . The motion of the particle corresponds to
The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be
A transverse wave is represented by y = A ( - kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?
A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)
A square surface of side L meter in the plane of the paper is placed in a uniform electric field E (volt/m) acting along the same plane at an angle with the horizontal side of the square as shown in figure. [figure] The electric flux linked to the surface, in units of volt m is
A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it as the first combination has. The value of C2, in terms of C1, is then
Consider the following two statements. Which of the following is correct?
A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire, is k volt/cm and the ammeter, present in the circuit, reads 1.0 A when two way key is switched off. The balance points, when the key between the terminals (i) 1 and 2 (ii) 1 and 3, is plugged in, are found to be at length l1 cm and l2 cm respectively. The magnitudes, of the resistors R and X, in ohms, are then, equal, respectively, to [figure]
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f Hz. The magnitude of magnetic induction at the center of the ring is
A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If it is to work as a voltmeter of 30 volt range, the resistance required to be added will be
A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If it is to work as a voltmeter of 30 volt range, the resistance required to be added will be
A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is F, the net force on the remaining three arms of the loop is
Electromagnets are made of soft iron because soft iron has
A vibration magnetometer placed in magnetic meridian has a small bar magnet. The magnet executes oscillations with a time period of 2 s in earth's horizontal magnetic field of 24 microtesla. When a horizontal field of 18 microtesla is produced opposite to the earth's field by placing a current carrying wire, the new time period of magnet will be
A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the field. The radius of the loop is made to shrink at a constant rate of 1 mm s-1. The induced emf when the radius is 2 cm, is
In the given circuit the readings of voltmeters V1 and V2 are 300 volts each. The readings of the voltmeter V3 and ammeter A are respectively [figure]
A 220 volt input is supplied to a transformer. The output circuit draws a current of 2.0 ampere at 440 volts. If the efficiency of the transformer is 80%, the current drawn by the primary windings of the transformer is
Which of the following statements is false for the properties of electromagnetic waves?
A ray of light travelling in a transparent medium of refractive index , falls on a surface separating the medium from air at an angle of incidence of 45 . For which of the following value of the ray can undergo total internal reflection?
A lens having focal length f and aperture of diameter d forms an image of intensity I. Aperture of diameter d2 in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively
A beam of cathode rays is subjected to crossed electric (E) and magnetic fields (B). The fields are adjusted such that the beam is not deflected. The specific charge of the cathode rays is given by (Where V is the potential difference between cathode and anode)
A source S1 is producing 1015 photons per second of wavelength 5000 A. Another source S2 is producing 1.02 1015 photons per second of wavelength 5100 A. Then, (power of S2)/(power of S1) is equal to
The potential difference that must be applied to stop the fastest photoelectrons emitted by a nickel surface, having work function 5.01 eV, when ultraviolet light of 200 nm falls on it, must be
The mass of a 73Li nucleus is 0.042 u less than the sum of the masses of all its nucleons. The binding energy per nucleon of 73Li nucleus is nearly
The energy of a hydrogen atom in the ground state is -13.6 eV. The energy of a He+ ion in the first excited state will be
The energy of a hydrogen atom in the ground state is -13.6 eV. The energy of a He+ ion in the first excited state will be
An alpha nucleus of energy 12mv2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to
To get an output Y = 1 in given circuit which of the following input will be correct? [figure]
Which one of the following statements is false?
Which one of the following bonds produces a solid that reflects light in the visible region and whose electrical conductivity decreases with temperature and has high melting point?
The device that can act as a complete electronic circuit is
The activity of a radioactive sample is measured as N0 counts per minute at t = 0 and N0/e counts per minute at t = 5 minutes. The time (in minutes) at which the activity reduces to half its value is
A common emitter amplifier has a voltage gain of 50, an input impedance of 100 and an output impedance of 200 . The power gain of the amplifier is
The number of atoms in 0.1 mol of a triatomic gas is ( NA = 6.02 1023 mol-1)
25.3 g of sodium carbonate, Na2CO3 is dissolved in enough water to make 250 mL of solution. If sodium carbonate dissociates completely, molar concentration of sodium ion, Na+ and carbonate ions, CO32- are respectively (Molar mass of Na2CO3 = 106 g mol-1)
The correct order of the decreasing ionic radii among the following isoelectronic species is
Which of the following represents the correct order of increasing electron gain enthalpy with negative sign for the elements O, S, F and Cl ?
In which of the following pairs of molecules/ ions, the central atoms have sp2 hybridisation ?
Which one of the following species does not exist under normal conditions?
In which one of the following species the central atom has the type of hybridization which is not the same as that present in the other three ?
For an endothermic reaction, energy of activation is Ea and enthalpy of reaction is H (both of these in kJ/mol). Minimum value of Ea will be
Standard entropies of X2, Y2 and XY3 are 60, 40 and 50 J K-1 mol-1 respectively. For the reaction 12X2 + 32Y2 XY3, H = -30 kJ, to be at equilibrium, the temperature should be
If pH of a saturated solution of Ba(OH)2 is 12, the value of its Ksp is
What is [H+] in mol/L of a solution that is 0.20 M in CH3COONa and 0.10 M in CH3COOH? Ka for CH3COOH = 1.8 10-5
In which of the following equilibrium Kc and Kp are not equal?
In a buffer solution containing equal concentration of B- and HB, the Kb for B- is 10-10. The pH of buffer solution is
Which one of the following is most reactive towards electrophilic reagent?
In the following the most stable conformation of n-butane is
Liquid hydrocarbons can be converted to a mixture of gaseous hydrocarbons by
The reaction of toluene with Cl2 in presence of FeCl3 gives X and reaction in presence of light gives Y. Thus, X and Y are
In a set of reactions, ethylbenzene yielded a product D. [figure] D would be
Which one is most reactive towards SN1 reaction?
The correct order of increasing reactivity of [figure] C–X bond towards nucleophile in the following compounds is
Given are cyclohexanol (I), acetic acid (II), 2, 4, 6-trinitrophenol (III) and phenol (IV). In these the order of decreasing acidic character will be
Among the following four compounds (i) Phenol (ii) Methyl phenol (iii) Meta-nitrophenol (iv) Para-nitrophenol The acidity order is
Which of the following compounds has the most acidic nature?
Which of the following reactions will not result in the formation of carbon-carbon bonds?
Acetamide is treated with the following reagents separately. Which one of these would yield methyl amine?
Among the given compounds, the most susceptible to nucleophilic attack at the carbonyl group is
Which of the following statements about primary amines is false?
Aniline in a set of the following reactions yielded a coloured product Y. [figure] The structure of 'Y' would be
Which one of the following does not exhibit the phenomenon of mutarotation?
An aqueous solution is 1.00 molal in KI. Which change will cause the vapour pressure of the solution to increase?
A solution of sucrose (molar mass = 342 g mol-1) has been prepared by dissolving 68.5 g of sucrose in 1000 g of water. The freezing point of the solution obtained will be (Kf for water = 1.86 K kg mol-1)
For the reduction of silver ions with copper metal, the standard cell potential was found to be +0.46 V at 25 C. The value of standard Gibbs energy, G will be (F = 96500 C mol-1)
An increase in equivalent conductance of a strong electrolyte with dilution is mainly due to
For the reaction N2O5(g) 2NO2(g) + 12O2(g) the value of rate of disappearance of N2O5 is given as 6.25 10-3 mol L-1 s-1. The rate of formation of NO2 and O2 is given respectively as
During the kinetic study of the reaction, 2A + B C + D, following results were obtained array|l|l|l|l| Run & [A]/ mol L-1 & [B]/ mol L-1 & Initial rate of formation \ & & & of D/ mol L-1 min-1 \ I. & 0.1 & 0.1 & 6.0 10-3 \ II. & 0.3 & 0.2 & 7.2 10-2 \ III. & 0.3 & 0.4 & 2.88 10-1 \ IV. & 0.4 & 0.1 & 2.40 10-2 \ array Based on the above data which one of the following is correct?
Which one of the following molecular hydrides acts as a Lewis acid?
The tendency of BF3, BCl3 and BBr3 to behave as Lewis acid decreases in the sequence
Oxidation states of P in H4P2O5, H4P2O6, H4P2O7 are respectively
The correct order of increasing bond angles in the following species is
Which of the following ions will exhibit colour in aqueous solutions?
Which of the following ions has electronic configuration [Ar]3d6? (At. nos. Mn = 25, Fe = 26, Co = 27, Ni = 28)
Which of the following pairs has the same size?
Which of the following complex ions is not expected to absorb visible light?
Crystal field stabilization energy for high spin d4 octahedral complex is
The existence of two different coloured complexes with the composition of [Co(NH3)4Cl2]+ is due to
Which one of the following complexes is not expected to exhibit isomerism?
Which of the following alkaline earth metal sulphates has hydration enthalpy higher than the lattice enthalpy?
Property of the alkaline earth metals that increases with their atomic number
Which one of the following compounds is a peroxide?
Which of the following structures represents neoprene polymer?
AB crystallizes in a body centred cubic lattice with edge length 'a' equal to 387 pm. The distance between two oppositely charged ions in the lattice is
Which one of the following is employed as a tranquilizer drug?
Virus envelope is known as
Single-celled eukaryotes are included in
Some hyperthermophilic organisms that grow in highly acidic (pH 2) habitats belong to the two groups
One of the free-living, anaerobic nitrogen-fixer is
Membrane-bound organelles are absent in
Algae have cell wall made up of:
Male and female gametophytes are independent and free-living in
Keel is characteristic of the flowers of
Ovary is half-inferior in the flowers of
The technical term used for the androecium in a flower of China rose ( Hibiscus rosa-sinensis) is
The scutellum observed in a grain of wheat or maize is comparable to which part of the seed in other monocotyledons?
During mitosis, ER and nucleolus begin to disappear at
PGA as the first CO2 fixation product was discovered in photosynthesis of
C4 plants are more efficient in photosynthesis than C3 plants due to
The energy-releasing metabolic process in which substrate is oxidised without an external electron acceptor is called
Phototropic curvature is the result of uneven distribution of
Photoperiodism was first characterised in
Coiling of garden pea tendrils around any support is an example of
Apomictic embryos in Citrus arise from
Transfer of pollen grains from the anther to the stigma of another flower of the same plant is called
Wind pollinated flowers are
Which one of the following symbols and its representation, used in human pedigree analysis is correct –
ABO blood groups in humans are controlled by the gene I. It has three alleles – IA, IB and i. Since there are three different alleles, six different genotypes are possible. How many phenotypes can occur –
Select the correct statement from the ones given below with respect to dihybrid cross –
The genotype of a plant showing the dominant phenotype can be determined by –
Which one of the following cannot be explained on the basis of Mendel's Law of Dominance?
Which one of the following does not follow the central dogma of molecular biology ?
The one aspect which is not a salient feature of genetic code, is its being –
Select the two correct statements out of the four (A–D) statements given below about lac operon. The correct statements are :
Infectious proteins are present in –
Breeding of crops with high levels of minerals, vitamins and proteins is called –
Select the correct statement from the following:
A common biocontrol agent for the control of plant diseases is –
The common nitrogen-fixer in paddy fields is –
Which one of the following is not used in organic farming ?
The figure given below is a diagrammatic representation of response of organisms to abiotic factors. What do a, b and c represent respectively – [figure]
Which one of the following is one of the characteristics of a biological community?
The biomass available for consumption by the herbivores and the decomposers is called –
Study the four statements (a–d) given below and select the two correct ones out of them – (a) A lion eating a deer and a sparrow feeding on grain are ecologically similar in being consumers (b) Predator starfish Pisaster helps in maintaining species diversity of some invertebrates (c) Predators ultimately lead to the extinction of prey species (d) Production of chemicals such as nicotine, strychnine by the plants are metabolic disorders The two correct statements are –
Which one of the following is an example of ex situ conservation ?
Heartwood differs from sapwood in –
Which one of the following is not a lateral meristem ?
The chief water conducting elements of xylem in gymnosperms are :
The plasma membrane consists mainly of –
The main area of various types of activities of a cell is –
Which one of the following has its own DNA?
Which one of the following structures between two adjacent cells is an effective transport pathway?
Which stages of cell division do the following figures A and B represent respectively? [Figure]
An element playing important role in nitrogen fixation is
Which one of the following is not a micronutrient?
A renewable exhaustible natural resource is –
dB is a standard abbreviation used for the quantitative expression of –
The two gases making highest relative contribution to the greenhouse gases are –
One example of animals having a single opening to the outside that serves both as mouth as well as anus is
Which one of the following statements about all the four of Spongilla, leech, dolphin and penguin is correct?
Which one of the following kinds of animals are triploblastic?
Which one of the following statements about certain given animals is correct?
Listed below are four respiratory capacities (i – iv) and four jumbled respiratory volumes of a normal human adult. array|l|l|l| & Respiratory capacities & Respiratory volumes \ (i) & Residual volume & 2500 mL \ (ii) & Vital capacity & 3500 mL \ (iii) & Inspiratory reserve volume & 1200 mL \ (iv) & Inspiratory capacity & 4500 mL \ array Which one of the following is the correct matching of two capacities and volumes?
What is true about RBCs in humans?
If due to some injury the chordae tendineae of the tricuspid valve of the human heart is partially non-functional, what will be the immediate effect?
Which two of the following changes (i – iv) usually tend to occur in the plain dwellers when they move to high altitudes (3,500 m or more)? (i) Increase in red blood cell size (ii) Increase in red blood cell production (iii) Increased breathing rate (iv) Increase in thrombocyte count Changes occurring are
Which one of the following statements in regard to the excretion by the human kidneys is correct?
The principal nitrogenous excretory compound in humans is synthesised
Which one of the following is the correct description of a certain part of a normal human skeleton?
The nerve centres which control the body temperature and the urge for eating are contained in
Injury to adrenal cortex is not likely to affect the secretion of which one of the following?
Low Ca++ in the body fluid may be the cause of
Which one of the following pairs is incorrectly matched?
Toxic agents present in food which interfere with thyroxine synthesis lead to the development of
Select the correct matching of a hormone, its source and function.
Sertoli cells are found in :
Vasa efferentia are the ductules leading from :
Seminal plasma in human males is rich in
The first movements of the foetus and appearance of hair on its head are usually observed during which month of pregnancy?
The second maturation division of the mammalian ovum occurs
Which one of the following statements about human sperm is correct?
Which one of the following statements about morula in humans is correct?
The part of Fallopian tube closest to the ovary is
In vitro fertilization is a technique that involves transfer of which one of the following into the fallopian tube?
The permissible use of the technique amniocentesis is for
Cu ions released from copper-releasing Intra Uterine Devices (IUDs) –
Which one of the following palindromic base sequences in DNA can be easily cut at about the middle by some particular restriction enzyme?
Darwin's finches are a good example of –
Ringworm in humans is caused by :
Widal test is used for the diagnosis of –
Which one of the following statements is correct with respect to AIDS ?
Select the correct statement from the ones given below :
Which one of the following is used as vector for cloning genes into higher organisms ?
DNA or RNA segment tagged with a radioactive molecule is called –
Restriction endonucleases are enzymes which –
Stirred-tank bioreactors have been designed for –
Which of the following are used in gene cloning ?
The genetically-modified (GM) brinjal in India has been developed for:
Genetic engineering has been successfully used for producing –
Some of the characteristics of Bt cotton are –
An improved variety of transgenic basmati rice
The cells lining the blood vessels belong to the category of :
Carrier ions like Na+ facilitate the absorption of substances like
If for some reason our goblet cells are nonfunctional, this will adversely affect