A ball falls vertically onto a floor, with momentum P, then bounces repeatedly. The coefficient of restitution is 1/2, the total momentum imparted by the ball to the floor is:
A body is projected vertically up with a certain velocity. At point P in its path, the ratio of its potential energy to kinetic energy is 36:64. The ratio of the velocity of projection to the velocity at ‘P’ is:
The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:
A spherical shell of mass m and radius R is pulled on a horizontal plane by a horizontal force F acting on its centre of mass. If the shell is rolling without slipping, then the angular acceleration of the spherical shell will be:
A uniform rod AB of mass ’m’ length ‘2a’ is allowed to fall under gravity with AB in the horizontal position. When the speed of the rod is ‘V’ suddenly the end ‘A’ is fixed. The angular velocity of the rod with which it begins to rotate will be:
The amplitude of vibration of a particle is given by where a0, a, b and c are positive. The condition for single resonant frequency will be:
A particle performing SHM with frequency 10 Hz and amplitude 5 cm is initially in the left extreme position. The equation of its displacement will be (x is in meter):
The gravitational field at some point in space is The force exerted on a 2 kg mass placed at a point is:
A wire having a linear mass density of 5.0 x 10-3 kg/m is stretched between two rigid supports with tension of 450 N. The wire resonates at a frequency of 400 Hz. The next higher frequency at which the wire resonates is 500 Hz. The length of the wire will be:
Which of the following is correct?
If V is speed, r is radius and g is acceleration due to gravity, which of the following is dimensionless?
For a man running horizontally along east at speed of 4 km/hr, rain appears to fall vertically. If he doubles his speed the rain appears to hit him at an angle at 30o with vertical. The original speed and direction of rain will be:
A rigid rod is placed against the wall as shown in the figure. When its velocity of the lower end is 10m/s and its base makes an angle α=60 o with horizontal, then the vertical velocity of its end B will be:
x2 + y2 = l2 = constant
On the horizontal surface of a truck, a block of mass 2 kg is placed and the coefficient of friction between the block and surface is (μs = 0.6) truck starts moving with an acceleration 4 m/s2 , the frictional force on the block will be? (g = 10 m/s2)
A man is supplying an instantaneous power of 500 J/s to a massless string by pulling it at an instantaneous speed of 10 m/s as shown. It is known that the kinetic energy of the block is increasing at a rate of 100 J/s at that instant. Then the mass of the block is:
What is a necessary condition for a reaction to be spontaneous at all temperatures?
For a reaction to be spontaneous, ΔG and ΔH should be negative.
Each side of regular polygon of n sides has a resistance R. The equivalent resistance between any two adjacent vertices is:
When a lens of power P (in air) made of material of refractive index 3 is dipped in a liquid of refractive index 4, the new power of lens is:
A point source of electromagnetic radiation has an average power output of 800 W. The maximum value of electric field at a distance 3.5 m from source will be:
Two plates (of area: a each) given charges + q1 and + q2 (q2 < q1) are brought closer to form a capacitor of capacitance C. The potential difference across the plates is:
A and B are inputs to a logic gate as shown in the figure.
For the given set of inputs and corresponding output data identify the logic gate.
From the following truth table,
Y = A.B + A'.B'
Therefore this is an XNOR gate.
A 220 V ac supply is connected between the two points A and B as shown in the figure. The output waveform (qualitative) across the diode is:
Which of the following is correct when NPN transistor is used as an amplifier?
When NPN transistor is used as an amplifier, majority charge carrier electrons of N-type emitter move from emitter to base and then base to collector.
Consider the statements given below:
1. At absolute zero temperature, an intrinsic semiconductor acts as an insulator.
2. The Fermi level in an intrinsic semiconductor lies between the valence band and conduction band.
Choose the correct statement(s).
Both statements are correct.
In a Zener regulated power supply, a Zener diode with Vz = 6.0 V , Iz = 5IL is used for regulation. The load current is to be 4.0 mA and the unregulated input is 10 V, as shown in the figure. The value of series resistance Rs required will be:
What happens when you heat china having some dark paintings engraved on it at 1000°C and then examine it in a dark room immediately?
According to Kirchhoff’s law, if a body strongly absorbs radiation of a certain wavelength, it must emit strongly the radiation of the same wavelength. The dark paintings are better absorbers, and therefore, also better emitters.
A spring-block system undergoes simple harmonic motion on a smooth horizontal surface. The block is now given some positive charge and a uniform horizontal electric field to the right is switched on, as a result:
The latent heat of vaporisation of water is more than latent heat of fusion of ice, because:
The latent heat of vaporisation of water is more than latent heat of fusion of ice because on vaporisation much large increase in volume takes place.
The emissive power of a black body at T = 300 K is 100 W/m2. Consider a body B of area A = 10 m2, coefficient of reflectivity r = 0.3 and absorptivity a = 0.2. If its temperature is 300 K then mark out the correct statement.
For the indicator diagram given below, correct statement is:
The light waves having displacements y1 = 10sin(ωt - kx) and y2 = 2sin(ωt - kx) interfere. The ratio of maximum to minimum average intensity of light in interference pattern is:
A parallel beam of monochromatic light of wavelength 600 nm passes through a long slit of width 0.4 mm. The angular divergence in which most of the light is diffracted is:
When a hydrogen atom, initially at rest emits a photon resulting n transition from n = 6 to n = 1, its recoil speed will be (mass of proton 1.6 x 10−27 kg):
P = Momentum = mv
For a plane electromagnetic wave, average of which among the following is zero:
When the air in a capacitor is replaced by a medium of dielectric constant K, the capacity ______ .
Cmedium = K×Cair
So capacity increases K times.
Binding energy per nucleon verses mass number curve for nuclei is indicated in the following figure. A, B, C and D are four nuclei indicated on the curve. Among the following, the process that would yield maximum energy is:
Energy would be released when products of high BE/nucleon are produced.
A charged beam consisting of electrons and positrons enter into a region of uniform magnetic field B perpendicular to field, with a speed v. The maximum separation between an electron and a proton will be? (mass of electron = mass of proton = m)
Which of the following is true for Lyman series in hydrogen atom?
The largest wavelength of Lyman series is 1215.7 Å.
In a young’s double-slit experiment, the separation between the two slits is . The distance of the screen from the slits is 50 cm. If the wavelength of light used is 4000 Å, then the angular position of first dark fringe is:
Snapshot of a transverse disturbance on a stretched string is shown in the following figure. The wave is travelling is along positive x-direction. The particles for which velocity is directed along negative y-direction is:
Which among the following has smallest wavelength?
Among the given options, X-Rays has smallest wavelength.
The amplifiers A, B and C are connected in series. If the voltage gain of A, B and C are 10, 15 and 20 respectively and input signal is 2 mV peak value. Then the output signal voltage’s peak value will be:
The heat absorbed by a system in going through a cyclic process shown in figure is:
The length of a metal wire is I1 when the tension in it is T1 and I2 when the tension in it is T2. The outstretched length of the wire is:
A body falls freely from rest for 4s. The average speed will be? (g = 10 m/s2)
Which has the maximum number of molecules among the following?
The correct order of increasing energies of atomic orbitals in a multi electronic system is:
Which of the following set of quantum numbers does not exist?
The value of I can be 0 to (n-1). So the values of option C does not exist.
For a first order reaction, the half-life period is 5 minutes. The time required for the concentration of the substance to fall from x M to is:
The number of bond pairs and lone pairs of electrons around chlorine in CIF3 respectively are:
The bond order of O+2 is:
Equal masses of CH4 and O2 are mixed in a container at 25oC. The fraction of total pressure exerted by O2 is:
Let the mass of O2 and CH4 be W gram each
Average molar kinetic energies of O2 and SO2 at same temperature are related as: (K1 is the kinetic energy of O2 and K2 is the kinetic energy of SO2 at same temperature)
Kinetic energy is a function of temperature only.
Which of the following is not a path function?
Enthalpy is a state function.
The change in internal energy if 20J of heat is given to the system at constant pressure and 10J of work is done by the system is:
For a reaction H2 (g) + I2 → 2HI (g), ΔH = 37.5 kJ/mol and ΔS = 150 JK-1 mol -1, the temperature at which the reaction will be:
For the reaction, If the value of the equilibrium constant is K, then the equilibrium constant for this reaction is:
If the reaction is reversed, the value of equilibrium constant is reciprocated. Also, if the reaction is multiplied by a factor (n) then the value of equilibrium constant becomes:
The conjugate acid of HCO3− is:
The solubility of a salt A2B in pure water will be: (Ksp of A2B = 1.08 x 10-16)
The oxidation state of Cr in CrO5 is:
Given the standard electron potentials,
Al3+/ Al = -1.66 V
K+/ K = - 2.93 V
Mg2+/ Mg = - 2.36 V
Cu2+/ Cu = 0.34 V
Zn2+/ Zn= -0.74 V
The correct order of these metals in their increasing order of reducing power is:
Higher is the negative value of standard reduction potential, stronger is the reducing power.
Which of the following is an electron precise hydride?
Which among the following has the highest hydration enthalpy?
The hydration enthalpy of alkali metals ions decreases with increase in ionic sizes.
The chemical formula of washing soda is:
The correct order of ionisation enthalpy of group -13 elements is:
Neutral oxide among the following is:
The maximum boiling point among the following is of ______.
In E1cB mechanism intermediate formed is ______.
The first step in the E1cB mechanism is deprotonation (break C-H) to give a carbanion intermediate, and this step is promoted when there are electron-withdrawing groups adjacent to the alpha carbon (making the carbanion more stable).
IUPAC name of Catechol is benzene-1,2-diol.
Which among the following compound gives 1o-alcohol on reaction with Grignard reagent (RMgCI) followed by hydrolysis?
The major product (A) of the given reaction is:
Which of the following is not a use of zeolite(s) as catalyst(s)?
Which of the following is a polar molecular solid?
Which of the following is an incorrect match?
ZnO is hexagonal.
The electrode potentials for are -0.04 V and -0.44 V respectively. The value of will be:
The standard electrode potential of three metals A, B and C are -0.49 V, -0.28 V and +0.20 V respectively. The reducing power of these metals will be:
The lower is Eoreduction, the higher is reducing power.
An aqueous solution contains 0.5 molal Na2S. Which of the following changes will cause the vapour pressure of the solution to increase?
Addition of less concentrated solution increases the mole fraction of water in an aqueous solution.
At 25oC, the highest boiling point is shown by 0.01 molal solution of: (consider complete ionisation of electrolytes)
0.2 g of an organic compound gave 0.466 g of BaSO4. The % of sulphur in the compound is: (molecular mass of BaSo4=233u)
Which of the following alkane on monochlorination give only one product?
Sodium propionate on heating with soda lime gives ______.
Which among the following alkanes is/are liquid at 298 K?
Alkane having 5 to 17 carbons are liquid at 298 K.
Product P is:
When methane is combusted in the presence of Molybdenum oxide as catalyst, it yields methanal(HCHO) as product.
Total number of conformers for ethane is:
Which of the following dn configuration shows the strongest Jahn-Teller distortion for the octahedral complex?
Jahn-teller distortion is applicable under the unsymmetric filling of eg level i.e. d7 (low spin complex).
Which of the following will not give chromylchloride test?
Covalent chloride like HgCI2 does not respond to the chromyl chloride test.
Which of the following does not undergo Friedel-Crafts reaction?
Which of the following compounds is least acidic?
Compound of highest pKa will be, least acidic
Which of the following statements is not correct?
PMMA is an addition polymer. Poly(methyl methacrylate) (PMMA) is usually obtained by the addition polymerization of methyl methacrylate (MMA).
Select the correct order of acidic strength of the following compounds:
Which of the following is not correct?
The largest flower found is known as ______.
The coconut water and the edible part of coconut are equivalent to:
The edible white part of the coconut is known as endosperm (seed accumulates inside a pulp) that is equivalent to coconut water.
Which of the following is true about protozoans?
Protozoa (also protozoan, plural protozoans) is an informal term for a group of single-celled eukaryotes, either free-living or parasitic.
The pollination of two flowers on different plants is known as ______.
Fertilisation of a flower by pollen from a flower on a genetically different plant is called xenogamy.
A plant tissue when stained showed the presence of hemicellulose and pectin in the cell walls of its cells. The tissue is called ______.
The carrying capacity of a population is determined by ______.
The carrying capacity of a biological species in an environment is the maximum population size of the species that the environment can sustain indefinitely, given the food, habitat, water, and other necessities available in the environment.
DNA duplication takes place in which of the following stage of cell cycle:
The slime moulds and unicellular algae are presently included in the kingdom-Protista because:
Slime moulds belong to the kingdom Protista where they appear to be more closely related to unicellular eukaryotes and does not follow the characteristic of fungi and other plants because they are algal and they do not follow other three kingdoms exclude Protista.
Food in the sieve tube is transported in the form of ______.
Which of the following is assumed to be connecting link between plants and animals?
Euglena contains characters of both plants and animals.
Which of the following material is responsible for non-degradable nature of pollens?
Which one of the following is caused by virus?
Select the incorrect statement out of the following:
Aerial or epiphytic roots hang down in air, they do not possess root caps and root hair instead they possess a covering of dead spongy tissue called velamen.
One of the following is true for Mandible:
The mandible is the largest and strongest bone of the face that is called as lower jaw bone or jaw bone.
In which one of the following habitats does the diurnal temperature of soil surface vary most?
Vegetative propagation in Chrysanthemum occurs by:
Asexual or vegetative propagation of plants is that form of plant propagation in which the new individual arises from the parent by sucker, e.g, in lawn grass Cynodon (Doob grass); and Chrysanthemum.
When secondary growth is initiated in dicot stem what will happen first?
The parenchymatous cells present between vascular bundle dedifferentiate and become meristematic and form interfascicular cambium.
Peripatus is a connecting link between:
Peripatus is a soft-bodied worm-like, bilaterally symmetrical animal that is a living connecting link between arthropods and annelids.
Match column-I with column-II and select the correct answer using the codes given below.
Which one of the following sets of animals share a four-chambered heart?
Which of the following is correct set of micronutrient for plants?
Which one of the following is the most suitable medium for culture of Drosophila melanogaster?
Most suitable culturing media for Drosophila melanogaster is ripe banana which gives good results in the laboratories.
Match the cell organelles given in column-I with cellular processes in column-II and select the correct option from the codes given below.
Which of the following set are all stop codon?
Stop codons are UAG, UAA and UGA.
Which one of the following pairs, is not correctly matched?
Gibberellic acid stimulates cell growth of leaves and stem, causing their expansion, elongation respectively and leaf fall is controlled by ABA.
Discontinuous synthesis of DNA occurs in one strand because:
Discontinuous replication or synthesis of DNA molecule as a series of short fragments. Extension of RNA primers occurs by the addition of DNA dependent DNA polymerase catalyses.
Zeatin is a type of:
Zeatin is a cytokinin present in maize.
Bt gene, which produces protein toxic to insect larvae is:
Cry genes encoded by the protein (toxin) are isolated from the bacterium and incorporated into several crop plants. Bt gene has maximum numbers of cry genes.
Examples: cry I Ac, Cry II Ab, Cry I Ab etc.
Pneumatophores are characteristic of plants growing in:
Some plants growing in salty marshes develop special roots for respiration, called pneumatophores. They are negatively geotropic.
Megasporangium is equivalent to:
The reaction rate of salivary amylase on starch decreases as the concentration of chloride ions is reduced. Which of the following describes the role of the chloride ions?
Many enzymes require a non-protein component for activity. These components are known as co-factors, which may be metal ions or organic in nature. The metal ions may be actually bound to the substrate rather than the enzyme.
In pteridophytes, spores germinate to give rise to inconspicuous, small multicellular, free-living photosynthetic, thalloid gametophyte called ______.
In pteridophytes, spores germinate to give rise to inconspicuous, small multicellular, free-living photosynthetic, thalloid gametophyte called “Prothallus”.
PEP carboxylase is:
Which of the following statements is not true about genes that show 50% recombination frequency?
Genetic linkage is the tendency of alleles that are close together. The recombination frequency will be 50% when two genes are located on different chromosomes that are tightly linked to each other.
Which of the following statements are correct?
(i) Magnesium competes with iron and manganese for uptake and with iron for binding with enzymes.
(ii) Magnesium inhibit calcium translocation in shoot apex.
(iii) Excess of manganese may induce deficiencies of iron, magnesium and calcium.
(iv) Symptoms of manganese toxicity may actually be the deficiency symptoms of iron, magnesium and calcium.
Manganese competes with iron and magnesium for uptake, and with magnesium for binding with enzymes. Manganese also inhibits calcium translocation in shoot apex.
Bryophytes are called amphibians of the plant kingdom because:
Cry genes has been used in producing transgenic plants resistant to:
Bt cotton is resistant to bollworm.
Which era could be called the ‘age of mammals and birds’?
The Cenozoic Era is the most recent subdivision of other divisions. The Cenozoic Era describes the age of mammals including birds, while the Mesozoic era was the age of reptiles.
Aqueous humour produced by the ciliary body is secreted into the posterior chamber and enters the anterior chamber through:
The pupil permits the passage of light waves and the passage of aqueous humour.
Which of the following is a dinoflagellate responsible for red tides?
The ‘Earth Summit’ held at Rio de Janerio in 1992 resulted in:
Papilionaceous corolla is a characteristic feature of:
Which of the following is true?
(i) ‘Operon hypothesis’ was proposed by Jacob and Monod.
(ii) ‘One gene-one enzyme theory’ was proposed by Beadle and Tatum.
(iii) ‘Southern blotting’ is used in DNA fingerprinting.
(iv) Uracil and Thymine bases remain present in DNA and RNA respectively.
Thymine is found only in DNA, and Uracil is found only in RNA.
In which of the following techniques, the embryos are transferred to assist those females who cannot conceive?
ZIFT and IUT are the techniques in which embryos are transferred to assist those females who cannot conceive.
Which one of the following statements about Mycoplasma is wrong?
If a colourblind woman marries a normal visioned man, their sons will be:
When a colour blind woman marries a normal visioned male, daughters will be carrier for this disease and all sons will be colour blind, this can be represented as follows:
Prior to mutation, a sequence of DNA reads GAGCCTATGCCAGTA. After the mutation, the sequence reads GAGCGTACGCCATTA. Which of the following best explains the change in DNA that has occurred?
Ligament is present between:
Which of the following is a large middle layer consisting of the main uterine gland as well as blood vessels?
Which of the following crops is being grown in India for biodiesel?
Jatropha Curcas, generated interest as an oil crop for biodiesel production in India.
Which one of the following is correct match?
Morphine is an opiate narcotic, Bhang is a hallucinogen, Reserpine derived from Raimolffia, is used as a tranquiliser, cocaine is a stimulant.
Cell theory was proposed by Schleiden and Schwann. Which of the following is an exception for cell theory?
Cell theory states that all living cells are made of cells that, are the fundamental unit of life but viruses are not made up of cells. But it is considered to be living. Therefore it is an exception of the theory.
The site where lymphocytes mature is:
B cells mature in the bone marrow and T cells mature in the thymus.
In accordance with the Human Genome Project, select the incorrect statement.
The technique called Gamete Intrafallopian Transfer (GIFT) is recommended for those females:
A marine cartilaginous fish that can produce electric current is:
Torpedo is a marine cartilaginous fish that produces an electric current for protection or self-defence.
Which of the following statement(s) is/are correct regarding class aves?
(i) The forelimbs are modified into wings and the hindlimbs generally have scales and are modified for walking, swimming or clasping the tree branches.
(ii) Heart is completely four-chambered.
(iii) They are warm-blooded (homoiothermic) animals i.e., they are able to maintain constant body temperature.
(iv) They are oviparous and development is direct.
Which one of the following is the thickest part of the mammalian heart?
The myocardium is the thick, middle layer of the heart and is composed of cardiac muscle.
If you examine the reproductive system of a normal human female before she undergoes puberty, which of the following would you not expect to find?
Corpus luteum is formed after ovulation only.
Which of the following bonds are found in DNA?
Glycosidic bond is present between Pentose sugar and N-base, and phosphodiester bond is found between nucleotides. So both bonds are found in DNA.
Coronary artery disease (CAD) is often referred to as:
Pteridophytes were well adapted and advanced in survival on land but they cannot be much successful and widespread as gymnosperms and angiospermic plants because they lack:
Pteridophytes lack freedom from water for fertilisation. Therefore they cannot get much success as gymnosperms and angiosperms.
Which one of the following is a matching pair of a substrate and its particular digestive enzyme?
Most of the fat digestion occurs in:
The small intestine is a principal organ for the absorption of nutrients and completes the digestion where the final products of digestion are glucose, fructose, fatty acids, glycerol and amino acids are absorbed through the mucosa into the bloodstream and lymph.
The bulk of carbon dioxide (CO2) released from body tissues into the blood is present as:
Which one of these is an in-situ method of conservation?
Find out the correct order of succession levels in Xerarch.
Xeric succession commonly occurs on bare rock surfaces (Lithosere) resulting from glaciation or from erosion by wind and water.
The values of osmotic potential (π) and pressure potential (P) of cells A, B, C and D are given below.
Identify the correct sequence that shows the path of movement of water from among the following.
The values of osmotic potential (π) is double the values of pressure potential (ρ) of cells. In the path of water movement, it shows ascending values as B → D → A → C
Genetic drift is the change of:
Endemic goitre is a state of:
Endemic goitre is associated with dietary iodine deficiency causes swelling in the frontal part of the neck or endemic goitre occurs when the prevalence of thyroid enlargement in which thyroid gland decrease their function to the stimulation of hormone.
Which variety of rice caused the green revolution in India?
The acrosomal reaction of the sperm occurs due to:
In fertilisation, the acrosomal reaction provides the sperm with an enzymatic drill to get through the zona pellucida of the ova.
Arrange the following ecosystems in increasing order of mean Net Primary Productivity(NPP) (Tonnes/ha/year).
1. Tropical deciduous forest
2. Temperate coniferous forest
3. Tropical rain forest
4. Temperate deciduous forest
In an experiment demonstrating the evolution of oxygen in Hydrilla, sodium bicarbonate is added to water in the experimental set-up. What would happen if all other conditions are favourable?
Amount of oxygen increases as the availability of carbon dioxide increases in the given experimental condition.