The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
- kg m s-1
- kg m s-2
- kg s-1
- kg s
200 questions with answers and solutions.
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
The motion of a particle along a straight line is described by equation x = 8 + 12t - t3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is
The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is
A particle has initial velocity (2 i + 3 j ) and acceleration (0.3 i + 0.2 j ). The magnitude of velocity after 10 seconds will be
The potential energy of a particle in a force field is U = Ar2 - Br where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is
A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 m s-1. It collides with a horizontal spring of force constant 200 N m-1. The maximum compression produced in the spring will be
Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity v2 in a direction perpendicular to the original direction. The mass A moves after collision in the direction:
When a mass is rotating in a plane about a fixed point, its angular momentum is directed along
Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of a boat. The length of the boat is 3.0 m and weighs 100 kg. The 55 kg man walks up to the 65 kg man and sits with him. If the boat is in still water the centre of mass of the system shifts by:
A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45 , the speed of the car is
ABC is an equilateral triangle with O as its centre. F1, F2 and F3 represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then magnitude of F3 is [figure]
The height at which the weight of a body becomes ( 116 )th of its weight on the surface of earth (radius R), is
A spherical planet has a mass MP and diameter DP. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to
A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is
If the radius of a star is R and it acts as a black body, what would be the temperature of the star, in which the rate of energy production is Q?
Liquid oxygen at 50 K is heated to 300 K at constant pressure of 1 atm. The rate of heating is constant. Which one of the following graphs represents the variation of temperature with time ?
One mole of an ideal gas goes from an initial state A to final state B via two processes : It first undergoes isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant pressure. The correct P-V diagram representing the two processes is
A thermodynamic system is taken through the cycle ABCD as shown in figure. Heat rejected by the gas during the cycle is [figure]
When a string is divided into three segments of lengths l1, l2 and l3, the fundamental frequencies of these three segments are 1, 2 and 3 respectively. The original fundamental frequency ( ) of the string is
Two sources of sound placed close to each other, are emitting progressive waves given by y1 = 4 600 and y2 = 5 608 An observer located near these two sources of sound will hear
An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle with the direction of the field. Assuming the potential energy of the dipole to be zero when = 90 , the torque and the potential energy of the dipole will respectively be
Four point charges -Q, -q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is
What is the flux through a cube of side a if a point charge of q is at one of its corners?
In the circuit shown the cells A and B have negligible resistances. For VA = 12 V, R1 = 500 and R = 100 the galvanometer (G) shows no deflection. The value of VB is [figure]
A ring is made of a wire having a resistance R0 = 12 . Find the points A and B, as shown in the figure, at which a current carrying conductor should be connected so that the resistance R of the sub circuit between these points is equal to 83 . [figure]
If voltage across a bulb rated 220 volt-100 watt drops by 2.5% of its rated value, the percentage of the rated value by which the power would decrease is
Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I, respectively. The resultant magnetic field induction at the centre will be
A millivoltmeter of 25 millivolt range is to be converted into an ammeter of 25 ampere range. The value (in ohm) of necessary shunt will be
An alternating electric field, of frequency , is applied across the dees (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by
A compass needle which is allowed to move in a horizontal plane is taken to a geomagnetic pole. It
A coil of resistance 400 is placed in a magnetic field. If the magnetic flux (Wb) linked with the coil varies with time t (sec) as = 50t2 + 4. The current in the coil at t = 2 sec is
In an electrical circuit R, L, C and a.c. voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is 3. If instead, C is removed from the circuit, the phase difference is again 3. The power factor of the circuit is
The current (I) in the inductance is varying with time according to the plot shown in figure. [figure] Which one of the following is the correct variation of voltage with time in the coil ?
The electric field associated with an em wave in vacuum is given by E = i 40 (kz - 6 108 t) where E, z and t are in volt/m, meter and seconds respectively. The value of wave vector k is
When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index
A ray of light is incident at an angle of incidence i, on one face of a prism of angle A (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is , the angle of incidence i, is nearly equal to
A concave mirror of focal length f1 is placed at a distance of d from a convex lens of focal length f2. A beam of light coming from infinity and falling on this convex lens – concave mirror combination returns to infinity. The distance d must equal
The magnifying power of a telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of lenses are
A 200 W sodium street lamp emits yellow light of wavelength 0.6 . Assuming it to be 25% efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is
Monochromatic radiation emitted when electron in hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57 V. The threshold frequency of the material is
An -particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m2. The de Broglie wavelength associated with the particle will be
Electron in hydrogen atom first jumps from third excited state to second excited state and then from second excited to the first excited state. The ratio of the wavelengths 1 : 2 emitted in the two cases is
An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be
Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is [figure]
C and Si both have same lattice structure; having 4 bonding electrons in each. However, C is insulator whereas Si is intrinsic semiconductor. This is because
The figure shows a logic circuit with two inputs A and B and the output C. The voltage wave forms across A, B and C are as given. The logic circuit gate is [figure]
If the nuclear radius of 27Al is 3.6 fermi, the approximate nuclear radius of 64Cu in fermi is
A mixture consists of two radioactive materials A1 and A2 with half lives of 20 s and 10 s respectively. Initially the mixture has 40 g of A1 and 160 g of A2. The amount of the two in the mixture will become equal after
In a CE transistor amplifier, the audio signal voltage across the collector resistance of 2 k is 2 V. If the base resistance is 1 k and the current amplification of the transistor is 100, the input signal voltage is
Transfer characteristics [output voltage (V0) vs input voltage (Vi)] for a base biased transistor in CE configuration is as shown in the figure. For using transistor as a switch, it is used [figure]
Maximum number of electrons in a subshell with l = 3 and n = 4 is
The correct set of four quantum numbers for the valence electron of rubidium atom (Z = 37) is
Identify the wrong statement in the following.
Which one of the following pairs is isostructural (i.e., having the same shape and hybridization) ?
Bond order of 1.5 is shown by
Which of the following species contains three bond pairs and one lone pair around the central atom ?
The pair of species with the same bond order is
In which of the following reactions, standard reaction entropy change ( S ) is positive and standard Gibb's energy change ( G ) decreases sharply with increasing temperature ?
The enthalpy of fusion of water is 1.435 kcal/mol. The molar entropy change for the melting of ice at 0 C is
Standard enthalpy of vaporisation vapH for water at 100 C is 40.66 kJ mol-1. The internal energy of vaporisation of water at 100 C (in kJ mol-1) is
pH of a saturated solution of Ba(OH)2 is 12. The value of solubility product (Ksp) of Ba(OH)2 is
Equimolar solutions of the following substances were prepared separately. Which one of these will record the highest pH value ?
Buffer solutions have constant acidity and alkalinity because
Among the following compounds the one that is most reactive towards electrophilic nitration is
Which nomenclature is not according to IUPAC system?
In the following reaction [figure] The major product is
Which of the following acids does not exhibit optical isomerism?
In the following sequence of reactions CH3-Br KCNA H3O+B [ether]LiAlH4C the end product (C) is
When Cl2 gas reacts with hot and concentrated sodium hydroxide solution, the oxidation number of chlorine changes from
A mixture of potassium chlorate, oxalic acid and sulphuric acid is heated. During the reaction which element undergoes maximum change in the oxidation number?
CH3CHO and C6H5CH2CHO can be distinguished chemically by
The correct order of decreasing acid strength of trichloroacetic acid (A), trifluoroacetic acid (B), acetic acid (C) and formic acid (D) is
Predict the products in the given reaction. [figure]
Acetone is treated with excess of ethanol in the presence of hydrochloric acid. The product obtained is
Deficiency of vitamin B1 causes the disease
Which one of the following sets of monosaccharides forms sucrose?
pA and pB are the vapour pressures of pure liquid components, A and B, respectively of an ideal binary solution. If xA represents the mole fraction of component A, the total pressure of the solution will be
Limiting molar conductivity of NH4OH [i.e. 0m(NH4OH)] is equal to
In a reaction, A + B product, rate is doubled when the concentration of B is doubled, and rate increases by a factor of 8 when the concentrations of both the reactants (A and B) are doubled, rate law for the reaction can be written as
In a zero-order reaction, for every 10 rise of temperature, the rate is doubled. If the temperature is increased from 10 to 100 , the rate of the reaction will become
In which of the following compounds, nitrogen exhibits highest oxidation state?
Which of the following statements is not valid for oxoacids of phosphorus?
Sulphur trioxide can be obtained by which of the following reactions?
Identify the alloy containing a non-metal as a constituent in it.
Which of the statements is not true?
Which one of the following is an outer orbital complex and exhibits paramagnetic behaviour?
50 mL of each gas A and of gas B takes 150 and 200 seconds respectively for effusing through a pin hole under the similar conditions. If molecular mass of gas B is 36, the molecular mass of gas A will be
Which one of the alkali metals, forms only, the normal oxide, M2O on heating in air?
The ease of adsorption of the hydrated alkali metal ions on an ion-exchange resin follows the order :
Which one of the following is not a condensation polymer?
Which of the following statements is false?
A metal crystallises with a face-centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is
The number of octahedral void(s) per atom present in a cubic close-packed structure is
In Freundlich adsorption isotherm, the value of 1n is
Which one of the following statements is incorrect about enzyme catalysis?
The protecting power of lyophilic colloidal sol is expressed in terms of
In the extraction of copper from its sulphide ore, the metal is finally obtained by the reduction of cuprous oxide with
Aluminium is extracted from alumina (Al2O3) by electrolysis of a molten mixture of
Which one of the following is a mineral of iron?
Which one of the following statements regarding photochemical smog is not correct?
Which statement is wrong for viruses?
Maximum nutritional diversity is found in the group
Nuclear membrane is absent in
The cyanobacteria are also referred to as
The most abundant prokaryotes helpful to humans in making curd from milk and in production of antibiotics are the ones categorised as
Which one single organism or the pair of organisms is correctly assigned to its or their named taxonomic group?
Which one of the following microbes forms symbiotic association with plants and helps them in their nutrition?
Which one of the following is common to multicellular fungi, filamentous algae and protonema of mosses?
Which one of the following is a correct statement?
Cycas and Adiantum resemble each other in having
Placentation in tomato and lemon is
Cymose inflorescence is present in
Phyllode is present in
The gynoecium consists of many free pistils in flowers of
How many plants in the list given below have composite fruits that develop from an inflorescence? Walnut, poppy, radish, fig, pineapple, apple, tomato, mulberry.
The coconut water and the edible part of coconut are equivalent to
Vexillary aestivation is characteristic of the family
Which one out of A - D given below correctly represents the structural formula of the basic amino acid? [figure]
Which one is the most abundant protein in the animal world?
The given diagrammatic representation shows one of the categories of small molecular weight organic compounds in the living tissues. Identify the category shown and the one blank component “X” in it. [figure]
Which one of the following is wrong statement?
During gamete formation, the enzyme recombinase participates during
A process that makes important difference between C3 and C4 plants is
The correct sequence of cell organelles during photorespiration is
People who have migrated from the plains to an area adjoining Rohtang Pass about six months back
Both, autogamy and geitonogamy are prevented in
An organic substance that can withstand environmental extremes and cannot be degraded by any enzyme is
Which one of the following is correctly matched?
Even in absence of pollinating agents seed-setting is assured in
A normal-visioned man whose father was colour-blind, marries a woman whose father was also colour-blind. They have their first child as a daughter. What are the chances that this child would be colour-blind ?
F2 generation in a Mendelian cross showed that both genotypic and phenotypic ratios are same as 1 : 2 : 1. It represents a case of
Removal of introns and joining of exons in a defined order during transcription is called
If one strand of DNA has the nitrogenous base sequence as ATCTG, what would be the complementary RNA strand sequence
Ribosomal RNA is actively synthesized in
Which one of the following is not a part of a transcription unit in DNA ?
Removal of RNA polymerase-III from nucleoplasm will affect the synthesis of
Which one of the following is a case of wrong matching?
Which part would be most suitable for raising virus-free plants for micropropagation?
Monascus purpureus is a yeast used commercially in the production of:
A patient brought to a hospital with myocardial infarction is normally immediately given
A nitrogen-fixing microbe associated with Azolla in rice fields is
Which one of the following is an example of carrying out biological control of pests/diseases using microbes?
PCR and Restriction Fragment Length Polymorphism are the methods for
Which one of the following is not a gaseous biogeochemical cycle in ecosystem?
Identify the possible link "A" in the following food chain: Plant insect frog "A" Eagle
Given below is an imaginary pyramid of numbers. What could be one of the possibilities about certain organisms at some of the different levels? [figure]
Which one of the following is not a functional unit of an ecosystem?
The upright pyramid of numbers is absent in
Which one of the following areas in India is a hotspot of biodiversity?
Gymnosperms are also called softwood spermatophytes because they lack
Water containing cavities in vascular bundles are found in
Closed vascular bundles lack
Companion cells are closely associated with
The common bottle cork is a product of
Select the correct statement from the following regarding cell membrane
What is true about ribosomes ?
Which one of the following does not differ in E. coli and Chlamydomonas ?
The highest number of species in the world is represented by
Yeast is used in the production of
Given below is the representation of a certain event at a particular stage of a type of cell division. Which is this stage? [Figure]
Best defined function of manganese in green plants is
Which one of the following is correctly matched?
In an area where DDT had been used extensively, the population of birds declined significantly because :
Which one of the following is a wrong statement?
Measuring biochemical oxygen demand (BOD) is a method used for
Pheretima and its close relatives derive nourishment from
In which one of the following, the genus name, its two characters and its phylum are not correctly matched, whereas the remaining three are correct?
Which one of the following is the correct statement for respiration in humans?
A certain road accident patient with unknown blood group needs immediate blood transfusion. His one doctor friend at once offers his blood. What was the blood group of the donor?
The maximum amount of electrolytes and water (70 – 80 percent) from the glomerular filtrate is reabsorbed in which part of the nephron?
Select the correct statement regarding the specific disorder of muscular or skeletal system.
The human hind brain comprises three parts, one of which is
Which part of the human ear plays no role in hearing as such but is otherwise very much required?
A person entering an empty room suddenly finds a snake right in front on opening the door. Which one of the following is likely to happen in his neuro-hormonal control system?
Which one of the following pairs of hormones are the examples of those that can easily pass through the cell membrane of the target cell and bind to a receptor inside it (mostly in the nucleus)?
What is correct to say about the hormone action in humans?
Which one of the following statements is false in respect of viability of mammalian sperm?
Signals for parturition originate from :
In a normal pregnant woman, the amount of total gonadotropin activity was assessed. The result expected was :
The Leydig's cells as found in the human body are the secretory source of
What is the figure given below showing in particular ? [Figure]
The test-tube baby programme employs which one of the following techniques ?
Evolution of different species in a given area starting from a point and spreading to other geographical areas is known as
Which one of the following options gives one correct example each of convergent evolution and divergent evolution ?
What was the most significant trend in the evolution of modern man ( Homo sapiens) from his ancestors ?
The extinct human who lived 1,00,000 to 40,000 years ago, in Europe, Asia and parts of Africa, with short stature, heavy eyebrows, retreating foreheads, large jaws with heavy teeth, stocky bodies, a lumbering gait and stooped posture was :
Motile zygote of Plasmodium occurs in
Common cold differs from pneumonia in that
Which one of the following is not a property of cancerous cells whereas the remaining three are ?
Cirrhosis of liver is caused by the chronic intake of
The figure below is the diagrammatic representation of the E. coli vector pBR322. Which one of the given options correctly identifies its certain component(s)? [figure]
A single strand of nucleic acid tagged with a radioactive molecule is called
Which one is a true statement regarding DNA polymerase used in PCR?
For transformation, microparticles coated with DNA to be bombarded with gene gun are made up of
Consumption of which one of the following foods can prevent the kind of blindness associated with vitamin 'A' deficiency?
Compared to those of humans, the erythrocytes in frog are :
Select the correct statement from the ones given below with respect to Periplaneta americana
Widal Test is carried out to test :
In which one of the following options the two examples are correctly matched with their particular type of immunity?
Anxiety and eating spicy food together in an otherwise normal human, may lead to