If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1 s and 2 s is
- 32A + 73B
- A2 + B3
- 32A + 4B
- 3A + 7B
180 questions with answers and solutions.
If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1 s and 2 s is
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is
A particle moves so that its position vector is given by r = t x + t y, where is a constant. Which of the following is true?
A car is negotiating a curved road of radius R. The road is banked at an angle . The coefficient of friction between the tyres of the car and the road is s. The maximum safe velocity on this road is
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?
A body of mass 1 kg begins to move under the action of a time dependent force F = (2t i + 3t2 j) N, where i and j are unit vectors along x and y axis. What power will be developed by the force at the time t?
What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?
A disc 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?
From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?
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 m s-2 at the end of 2.0 s is approximately
At what height from the surface of earth the gravitation potential and the value of g are -5.4 107 J kg-1 and 6.0 m s-2 respectively? Take the radius of earth as 6400 km.
The ratio of escape velocity at earth (ve) to the escape velocity at a planet (vp) whose radius and mean density are twice as that of earth is
Coefficient of linear expansion of brass and steel rods are 1 and 2. Lengths 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 piece of ice falls from a height h so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h [Latent heat of ice is 3.4 105 J/kg and g = 10 N/kg]
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 nm K. Which of the following is correct?
Two non-mixing liquids of densities and n (n > 1) are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length pL (p < 1) in the denser liquid. The density d is equal to
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then
The molecules of a given mass of a gas have r.m.s. velocity of 200 m s-1 at 27 and 1.0 105 N m-2 pressure. When the temperature and pressure of the gas are respectively, 127 and 0.05 105 N m-2, the r.m.s. velocity of its molecules in m s-1 is
A refrigerator works between 4 and 30 . 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 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
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 1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is 2. The ratio 2/ 1 is
A capacitor of 2 is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is [figure]
Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d l) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as
A potentiometer wire is 100 cm long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at 50 cm and 10 cm from the positive end of the wire in the two cases. The ratio of emf's 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 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 distance a2 and 2a respectively, from the axis of the wire is
A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be [figure]
The magnetic susceptibility is negative for
An inductor 20 mH, a capacitor 50 and a resistor 40 are connected in series across a source of emf V = 10 340t. The power loss in A.C. circuit is
A small signal voltage V(t) = V0 t is applied across an ideal capacitor C
A long solenoid has 1000 turns. When a current of 4 A flows through it, the magnetic flux linked with each turn of the solenoid is 4 10-3 Wb. The self-inductance of the solenoid is
Out of the following options which one can be used to produce a propagating electromagnetic wave?
Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror]
In a diffraction pattern due to a single slit of width a, the first minimum is observed at an angle 30 when light of wavelength 5000 A is incident on the slit. The first secondary maximum is observed at an angle of
The intensity at the maximum in a Young's double slit experiment is I0. Distance between two slits is d = 5 , where 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 = 10d?
An astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance
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
An electron of mass m and a photon have same energy E. The ratio of de-Broglie wavelengths associated with them is
When a metallic surface is illuminated with radiation of wavelength , the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2 , the stopping potential is V4. The threshold wavelength for the metallic surface is
Given the value of Rydberg constant is 107 m-1, the wave number of the last line of the Balmer series in hydrogen spectrum will be
When an -particle of mass m moving with velocity v bombards on a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on m as
To get output 1 for the following circuit, the correct choice for the input is [figure]
Consider the junction diode as ideal. The value of current flowing through AB is [figure]
A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15 m s-1. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is (Take velocity of sound in air = 330 m s-1)
A npn transistor is connected in common emitter configuration in a given amplifier. A load resistance of 800 is connected in the collector circuit and the voltage drop across it is 0.8 V. If the current amplification factor is 0.96 and the input resistance of the circuit is 192 , the voltage gain and the power gain of the amplifier will respectively be
Two electrons occupying the same orbital are distinguished by
In which of the following options the order of arrangement does not agree with the variation of property indicated against it ?
Consider the molecules CH4, NH3 and H2O. Which of the given statements is false?
Predict the correct order among the following :
The correct thermodynamic conditions for the spontaneous reaction at all temperatures is
Consider the following liquid-vapour equilibrium. Liquid Vapour Which of the following relations is correct ?
MY and NY3, two nearly insoluble salts, have the same Ksp values of 6.2 10-13 at room temperature. Which statement would be true in regard to MY and NY3?
Which of the following biphenyls is optically active ?
For the following reactions : (A) CH3CH2CH2Br + KOH CH3CH=CH2 + KBr + H2O (B) [figure] (C) [figure] Which of the following statements is correct?
The correct statement regarding the comparison of staggered and eclipsed conformations of ethane, is
Consider the nitration of benzene using mixed conc. H2SO4 and HNO3. If a large amount of KHSO4 is added to the mixture, the rate of nitration will be
The pair of electrons in the given carbanion, CH3C C-, is present in which of the following orbitals?
In the reaction H-C CH [(ii) CH3CH2Br](i) NaNH2/liq. NH3 X [(ii) CH3CH2Br](i) NaNH2/liq. NH3 Y, X and Y are
The reaction [figure] can be classified as
Which of the following reagents would distinguish cis-cyclopentane-1,2-diol from the trans-isomer?
The correct statement regarding a carbonyl compound with a hydrogen atom on its alpha-carbon, is
The correct statement regarding the basicity of arylamines is
The product formed by the reaction of an aldehyde with a primary amine is
The correct statement regarding RNA and DNA, respectively is
In a protein molecule various amino acids are linked together by
Which one given below is a non-reducing sugar?
Which of the following statements about the composition of the vapour over an ideal 1 : 1 molar mixture of benzene and toluene is correct? Assume that the temperature is constant at 25 . (Given, vapour pressure data at 25 , benzene = 12.8 kPa, toluene = 3.85 kPa)
At 100 the vapour pressure of a solution of 6.5 g of a solute in 100 g water is 732 mm. If Kb = 0.52, the boiling point of this solution will be
The pressure of H2 required to make the potential of H2-electrode zero in pure water at 298 K is
The rate of first-order reaction is 0.04 mol L-1 s-1 at 10 seconds and 0.03 mol L-1 s-1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is
The addition of a catalyst during a chemical reaction alters which of the following quantities?
Match the compounds given in column I with the hybridisation and shape given in column II and mark the correct option
Which is the correct statement for the given acids?
Which one of the following orders is correct for the bond dissociation enthalpy of halogen molecules?
When copper is heated with conc. HNO3 it produces
Among the following the correct order of acidity is
Which one of the following statements is correct when SO2 is passed through acidified K2Cr2O7 solution?
The electronic configuration of Eu (Atomic No. 63), Gd (Atomic No. 64) and Tb (Atomic No. 65) are
Which of the following has longest C-O bond length? (Free C-O bond length in CO is 1.128 Å.)
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?
Which of the following statements about hydrogen is incorrect?
Which of the following statements is false?
The product obtained as a result of a reaction of nitrogen with CaC2 is
Natural rubber has
Lithium has a bcc structure. Its density is 530 kg m-3 and its atomic mass is 6.94 g mol-1. Calculate the edge length of a unit cell of lithium metal. (NA = 6.02 1023 mol-1)
The ionic radii of A+ and B- ions are 0.98 10-10 m and 1.81 10-10 m. The coordination number of each ion in AB is
Fog is a colloidal solution of
Which one of the following characteristics is associated with adsorption?
Match items of Column I with the items of Column II and assign the correct code :
Which of the following is an analgesic?
Nomenclature is governed by certain universal rules. Which one of the following is contrary to the rules of nomenclature?
The primitive prokaryotes responsible for the production of biogas from the dung of ruminant animals, include the
Which one of the following statements is wrong?
Which of the following statements is wrong for viroids?
One of the major components of cell wall of most fungi is
Chrysophytes, Euglenoids, Dinoflagellates and Slime moulds are included in the Kingdom
Select the correct statement
In bryophytes and pteridophytes, transport of male gametes requires
Which of the following is not a stem modification?
Stems modified into flat green organs performing the functions of leaves are known as
Cotyledon of maize grain is called
Tricarpellary, syncarpous gynoecium is found in flowers of
The standard petal of a papilionaceous corolla is also called
A typical fat molecule is made up of
Which one of the following statements is wrong?
Spindle fibres attach on to
Which of the following is not a characteristic feature during mitosis in somatic cells?
In meiosis crossing over is initiated at
Water vapour comes out from the plant leaf through the stomatal opening. Through the same stomatal opening carbon dioxide diffuses into the plant during photosynthesis. Reason out the above statements using one of following options.
In a chloroplast the highest number of protons are found in
Emerson's enhancement effect and Red drop have been instrumental in the discovery of
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?
Water soluble pigments found in plant cell vacuoles are
The Avena curvature is used for bioassay of
The coconut water from tender coconut represents
Which one of the following statements is not true?
Seed formation without fertilisation in flowering plants involves the process of
Proximal end of the filament of stamen is attached to the
Which of the following statements is not correct?
A cell at telophase stage is observed by a student in a plant brought from the field. He tells his teacher that this cell is not like other cells at telophase stage. There is no formation of cell plate and thus the cell is containing more number of chromosomes as compared to other dividing cells. This would result in -
Pick out the correct statements :
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 -
Match the terms in Column-I with their description in Column-II and choose the correct option :
In a testcross involving F1 dihybrid flies, more parental-type offspring were produced than the recombinant-type offspring. This indicates
Which of the following most appropriately describes haemophilia ?
Which one of the following is the starter codon ?
Which of the following is required as inducer(s) for the expression of Lac operon?
A complex of ribosomes attached to a single strand of RNA is known as :
Which of the following is wrongly matched in the given table?
Which of the following is not required for any of the techniques of DNA fingerprinting available at present?
It is much easier for a small animal to run uphill than for a large animal, because -
When does the growth rate of a population following the logistic model equal zero? The logistic model is given as dN/dt = rN(1-N/K)
Gause's principle of competitive exclusion states that -
Which of the following would appear as the pioneer organisms on bare rocks?
Which one of the following is a characteristic feature of cropland ecosystem ?
The term ecosystem was coined by :
Which is the National Aquatic Animal of India ?
Which of the following is the most important cause of animals and plants being driven to extinction ?
Specialised epidermal cells surrounding the guard cells are called -
Mitochondria and chloroplast are- Which one of the following options is correct?
Microtubules are the constituents of
Which one of the following cell organelles is enclosed by a single membrane?
In which of the following all three are macronutrients?
A system of rotating crops with legume or grass pasture to improve soil structure and fertility is called -
Depletion of which gas in the atmosphere can lead to an increased incidence of skin cancers
Joint Forest Management Concept was introduced in India during :
A river with an inflow of domestic sewage rich in organic waste may result in -
Which of the following characteristic features always holds true for the corresponding group of animals?
Which one of the following characteristics is not shared by birds and mammals?
Which of the following features is not present in the Phylum Arthropoda?
Reduction in pH of blood will
Name the chronic respiratory disorder caused mainly by cigarette smoking.
Asthma may be attributed to
Blood pressure in the pulmonary artery is
In mammals, which blood vessel would normally carry largest amount of urea?
Lack of relaxation between successive stimuli in sustained muscle contraction is known as
Which of the following pairs of hormones are not antagonistic (having opposite effects) to each other?
The amino acid tryptophan is the precursor for the synthesis of
Changes in GnRH pulse frequency in females is controlled by circulating levels of
Fertilisation in humans is practically feasible only if
Select the incorrect statement.
Identify the correct statement on 'inhibin'.
Which of the following approaches does not give the defined action of contraceptive ?
In context of Amniocentesis, which of the following statements is incorrect ?
Which of the following structures is homologous to the wing of a bird ?
Analogous structures are a result of :
Following are the two statements regarding the origin of life - Of the above statements which one of the following options is correct ?
Antivenom injection contains preformed antibodies while polio drops that are administered into the body contain -
Which of the following statements is not true for cancer cells in relation to mutations ?
In higher vertebrates, the immune system can distinguish self-cells and non-self. If this property is lost due to genetic abnormality and it attacks self-cells, then it leads to
Which of the following is not a feature of the plasmids ?
The taq polymerase enzyme is obtained from
Which of the following is a restriction endonuclease ?
The two polypeptides of human insulin are linked together by
Which part of the tobacco plant is infected by Meloidogyne incognita ?
Which type of tissue correctly matches with its locations ?
Which of the following features is not present in Periplaneta americana?
Which of the following guards the opening of hepatopancreatic duct into the duodenum?
In the stomach, gastric acid is secreted by the
Photosensitive compound in human eye is made up of