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In a compound microscope, the objective and the eyepiece have focal lengths of 1 cm and 5 cm, respectively, and both are kept at a distance of 20 cm. If the final image is formed at the least distance of distinct vision from the eyepiece, find the total magnification.
Three thermally radiating carbon black coated discs A, B and C with radii 2 m, 4 m and 6 m have maximum intensity wavelengths 300 nm, 400 nm and 500 nm, respectively. If the powers radiated by them are Qa, Qb and Qc, respectively, then
A small block is shot into each of the four tracks as shown below. Each of the frictionless tracks rises to the same height. The speed with which the block enters the tracks is the same in all the cases. At the highest point of the track, normal reaction is the maximum in
A uniform rod of length 'l' and mass 'm' is free to rotate in a vertical plane about 'A'. The rod, initially in horizontal position, is released. The initial angular acceleration of the rod is (Moment of inertia of rod about A is ml2 / 3.
The extension in a string obeying Hooke's law is 'x'. The speed of sound in the stretched string is 'v'. If the extension in the string is increased to 1.5x, the speed of sound will be
For a satellite moving in an orbit around Earth, the ratio of kinetic energy to potential energy is
An elastic ball is dropped from a height h and it rebounds many times from the floor. If the coefficient of restitution is e, the time interval between the second and the third impacts, is
The equation of a progressive wave is given by Y = 0.2 cos The distance is expressed in cm and the time in seconds. What will be the minimum distance between the two particles having the phase difference of π/2?
The time period of a particle in simple harmonic motion is 8 seconds. At t = 0, it is at the mean position. The ratio of the distances travelled by it in the 1st second and the 2nd second is
If 25 W, 220 V and 100 W, 220 V bulbs are connected in series across a 440 V line, then
If a wire is stretched such that its length becomes double then
The excess of pressure inside the first soap bubble is √3 times that inside the second bubble. The ratio of volume of the first to that the second bubble is
A metal wire of length L is suspended vertically from a rigid support. When a body of mass M is attached to the lower end of wire, the elongation of the wire is , then the incorrect statement is
The specific heat of substance varies with temperature according to equation C = 2T × 10–3 cal/g K (T is absolute temperature). The amount of heat required to raise the temperature of 100 g of substance from 27°C to 47°C is
In an isobaric process of a diatomic gas 140 J of heat is added to N moles of the gas to increase its temperature from T1 to T2. The amount of work done by the gas in this process is
Some questions (Assertion – reason type) are given below. Each question contains Statement I (Assertion) and statement II (Reason). Each question has 4 choices (a), (b), (c) and (d) out of which only one is correct. So, select the correct choice.
Statement I: If the momentum of a system is changing then it is necessary that some non-zero net force is acting on system
Statement II: Law of conservation of momentum holds good in all domains of physics.
Given below are two statements:
I: Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element (Idl) of a current-carrying conductor only.
II: Biot-Savart's law is analogous to Coulomb's inverse square law of charge q, with the former being related to the field produced by a scalar source, Idl while the latter being produced by a vector source, q.
In light of above statements choose the most appropriate answer from the options given below:
Match List - I with List - II.
Choose the correct answer from the options given below:
The variation of anode current in a triode valve corresponding to a change in grid potential at three different values of the plate potential is shown in the given figure. The mutual conductance of triode is:
Which one of the following is true about the p-type and n-type semi-conductors?
A stone of mass m tied to a string of length l is rotating along a circular path with constant speed v. The torque on the stone is
What should be the angle of banking of the road if a vehicle, travelling with speed v, negotiates a curve of radius r?
A string of length 'l' fixed at one end carries a mass 'm' at the other end. The string makes 2/π revolutions per second around the horizontal axis through the fixed end as shown in the figure. What is the tension in the string?
A block of mass 2 kg is placed on the surface of a trolley of mass 20 kg, which is on a smooth surface. The coefficient of friction between the block and the surface of the trolley is 0.25. If a horizontal force of 2 N acts on the block, then the acceleration of the system (in ms-2) is (Take g = 10 ms-2)
An ice cart of mass 60 kg rests on a horizontal snow patch with coefficient of static friction 1/3. Assuming that there is no vertical acceleration, find the magnitude of the minimum horizontal force required to move the ice cart. (g = 9.8ms-2)
Two masses M and M/2 are joined together by means of a light inextensible string and passed over a frictionless pulley as shown in the figure. When the bigger mass is released, the smaller one will ascend with an acceleration of
A particle moves in the xy-plane under the action of a force F, such that the value of its linear momentum p at any time t is px = 2 cos t, py = 2 sin t. The angle between F and p at any given time t will be
A bullet of mass 10 × 10-3 kg moving with a speed of 20 ms-1 hits an ice block (0°C) of 990 g kept at rest on a frictionless floor and gets embedded in it. If ice takes 50% of KE lost by the system, the amount of ice melted (in grams) approximately is: (J = 4.2 J/cal) (Latent heat of ice = 80 cal/g)
A particle is placed at the origin and a force F = Kx is acting on it (where K is positive constant). If U(0) = 0, the graph of U(x) versus x will be (where u is the potential energy function)
An isolated particle of mass m is moving in a horizontal plane XY, along the x-axis, at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragment is at y = +15 cm. The larger fragment, at this instant, is at
A cricket ball is hit at 45o to the horizontal with kinetic energy K. The kinetic energy at the highest point is
An electric pump is used to fill an overhead tank of capacity 9 m3 kept at a height of 10 m above the ground. If the pump takes 5 minutes to fill the tank by consuming 10 kW power, then the efficiency of the pump must be (take g = 10 ms-2)
A force of 60 N is applied on a body at an angle of 60° with the horizontal, and displaces it through 5 m along the horizontal. What is the work done?
A plane electromagnetic wave is incident on a material surface. The wave delivers momentum 'p' and energy 'E'. Which of the following is true according to the situation?
If the wavelength of incident light changes from 400 nm to 300 nm, then the stopping potential for photoelectrons emitted from a surface becomes (approximately)
The radius of first Bohr orbit is r. What is the radius of 2nd Bohr orbit?
Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.
Assertion: Frictional forces are conservating forces.
Reason: Potential energy can be associated with frictional forces.
Statement-I: In an ac circuit, the current through a capacitor leads the voltage across it.
Statement-II: In ac circuits containing pure capacitance only, the phase difference between the current and the voltage is π
In light of the above statements, choose the most appropriate answer from the options given below:
An observer is using an astronomical refracting telescope to observe planets in normal adjustment. The focal lengths of the objective and eyepiece used in the telescope construction are 20 m and 2 cm respectively. Consider the following statements about the telescope:
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. In doing so, it comes down a height h. The speed of its centre of mass when it reaches the bottom is
In a flywheel, mass is concentrated at the
A dancer on ice spins faster when she folds her arms. This is due to
Three identical spheres, each of mass 1 kg, are kept as shown in the figure below, touching each other with their centres on a straight line. If their centres are marked respectively as P, Q and R, then the distance of the centre of mass of the system from P is
Which of the following undergoes nucleophilic substitution exclusively by SN1 mechanism?
The order of stability of the following carbocations is
Which of the following bases is not present in RNA?
The hybridisation and the geometry of ICl3 in liquid phase are ____ and _____, respectively.
Na+, Mg++, Al3+ and Si4+ are isoelectronic. The order of their ionic size is
The number of geometrical isomers of [Cr(NH3)(OH)2Cl3]2– ion is
The compound in which metal exhibits more than one oxidation states, is
Most reactive alkene towards dil. HCl is
Number of dichloro derivatives that can be obtained from n-butane (excluding stereoisomerism) is
The reaction of CH3 – CH = CH2 with HOCl will yield
In the following question a statement of Assertion (A) followed by a statement of Reason (R) is given. Choose the correct option out of the choices given below each question.
Assertion (A): Smaller the size of an atom greater is the electronegativity.
Reason (R): Electronegativity refers to the tendency of atom so share electrons with other atom.
The resistance of 0.01 N solution of an electrolyte was found to be 210 ohm at 298 K, using a conductivity cell of cell constant 0.66 cm−1. The equivalent conductance of the solution is
The rate of a first order reaction A → P is 4.5 × 10-5 mol L-1 s-1, when the concentration of A is 0.5 mol L-1. The rate constant for the reaction is
Maximum number of possible isomers of C5H12 is:
Assertion (A): According to Mendeleev, periodic properties of elements is a function of their atomic number.
Reason (R): Atomic number is equal to the number of protons.
The prefix atto is used for the fraction
The following question has four choices out of which ONLY ONE is correct. Two vessels P and Q of equal volume (1 litre each) contain 6 g of O2 and SO2, respectively, at 300 K and 1 atm. Which of the following statements is correct?
Two isotopes of an element X are 14X and 15X. If the average atomic mass of X is 14.0067 u, what are the respective percentage abundances of 14X and 15X?
What is the number of carbon atoms present in 329 amu of tear gas (CCl3NO2)?
The following question has four choices, out of which ONLY ONE is correct.
An orbit differs from an orbital in that
The KE of an electron is 2.8 × 10–23 J. Its de Broglie wavelength is nearly (Me = 9.1 × 10–31 kg)
In the following question, two statements are given. One is assertion and the other is reason. Examine the statements carefully and mark the correct answer according to the instructions given below.
Assertion: The atoms of different elements, having same mass number but different atomic numbers, are known as isobars.
Reason: The sum of protons and neutrons in isobars is always different.
The elements with atomic numbers 9, 17, 35, 53 and 85 are all
Among the following elements (whose electronic configurations are given below), the one having the highest ionisation enthalpy is
The polarising power of the anions N3-, O2- and F- follows the order:
Which of the following has the maximum ionisation potential?
Mendeleev proposed that some of the elements were still undiscovered and, therefore, left several gaps in the table. He left the gap under aluminium and a gap under silicon, and called these elements Eka-Aluminium and Eka-Silicon. These were later discovered and named
Which group of elements could be placed in Mendeleev's Periodic Table without disturbing the original order?
Arrange the following elements in the order of their increasing non-metallic character:
Li, C, Be, F, O
According to Dobereiner's triads, the atomic mass of the element is equal to the __________ of and elements in that triad.
It is now recognized that the ‘Modern Periodic Law’ is essentially the consequence of:
If three elements X, Y, and Z form a Dobereiner's triad and atomic weights of X and Z are 9 and 40 respectively, then the atomic weight of the element Y is approximate:
Sodium forms Na+ ion, but it does not form Na2+ because of
The formation of oxide ion O2- (g) requires first an exothermic and then an endothermic step as shown below:
O (g) + e- → O- (g), ΔHo = -142 kJ/mol
O- + e- → O2- (g), Δ Ho = +844 kJ/mol
This is because
The correct order of increasing radii of the elements Na, Rb, K and Mg is:
Which of the following isoelectronic ions has the lowest ionisation energy?
Which of the following processes requires the highest energy?
The correct order of decreasing electronegativity values among the elements I - beryllium, II - oxygen, III - nitrogen, and IV - magnesium is
Which of the following electronic configurations corresponds to the element with the largest negative electron gain enthalpy?
Minerals associated with redox reactions are:
Oxidation number of carbon in CH2Cl2 is
The element that does not show positive oxidation state is:
Which of the following pairs of molecules has all the three types of bonds (electrovalent, covalent and coordinate)?
Which of the following substances would you expect to have the highest melting point?
The dipole moments of diatomic molecules AB and CD are 10.41 D and 10.27 D, respectively, while their bond distances are 2.82 Ao and 2.67 Ao, respectively. What does this indicate? [Electronic charge (q) = 4.8 × 10-10 esu]
Protein encoding gene expressed in heterologous host is called as______.
Brief exposure of cells to an electric field also allow the bacteria to take up DNA and this process is called as_______.
Phage is a______.
Plasmid is a________.
DNA fingerprinting can resolve:
A bioreactor is:
The bacterial cells can be lysed by using ______ enzyme.
The restriction enzyme needs to be in _____ form to cut the DNA.
Which macromolecules are present along with DNA within the cell?
Match column I with column II and select the correct answer from the given codes.
Which of the following are the types of bioreactors?
(i) Simple stirred-tank bioreactor
(ii) Complex Stirred-tank bioreactor
(iii) Sparged stirred-tank bioreactor
(iv) Agitator stirred-tank bioreactor
An advantage of using yeasts rather than bacteria as recipient cells for the recombinant DNA of eukaryotes is that yeasts can __________.
Which of the following methods should be used to increase crop production without use of chemicals and fertilizers?
Assertion: Bacillus thuringiensis forms protein crystals during particular phase of growth.Reason: These crystals contain a toxic insecticidal protein that kills the certain insects.
Assertion: For toxicity testing, transgenic animals are made to carry genes which make them more sensitive to toxic substance.
Reason: Transgenic animals are exposed to toxic substance to be study to know their effect.
An important objective of biotechnology in the area of agriculture is ________
What is the primary reason for the insufficiency of the Green Revolution in feeding the growing human population?
Which components are essential in the nutrient medium used for tissue culture?
What is the term used for isolated cells from plants that have had their cell walls digested and are surrounded by plasma membranes?
The protein products of the Bt toxin genes cry I Ac and cry II Ab are responsible for controlling
Transgenic plants are developed by:
In Bt cotton, the Bt toxin present in plant tissue as pro-toxin is converted into active toxin due to the _______.
The Ti plasmid used in genetic engineering is obtained from:
Which of the following statement is/ are incorrect?
Statement I: In children ADA deficiency can be cured by bone marrow transplantation only.
Statement II: At intermediate embryonic stages, the ADA-producing gene isolate from marrow cells is introduced into cells.
Which of the following is the first hormone produced artificially by bacteria and is widely employed as medicine?
For the treatment of which of the following diseases was the first clinical gene therapy done?
A nematode Meloidogyne incognita infects the roots of tobacco plants and causes a great reduction in yield. It can be prevented by RNA interference (RNAi). What does this method involve?
Golden rice is a transgenic crop of the future with which of the following improved traits?
Which body of the government of India regulates GM research and safety of introducing GM organisms for public services?
The first human hormone produced by recombinant DNA technology is
Useful genes are incorporated into a variety through genetic engineering method of crop improvement by means of
Golden rice is a transgenic rice in India. It has gene for synthesising _____________.
During the production of insulin, Chains A and B were produced separately, extracted and combined by creating _________ bonds.
Nucleic acid segment tagged with a radiactive molecule is called
By analysing a number of somatic cell hybrid lines for enzyme activities and their human chromosome constitution, the doctors can find out.
Biopiracy is
A heterologous protein for its expression in the milk of transgenic animals should be under the control of the promoter of the gene coding for
The application of biotechnology includes aspects like
Which of the following transgenic plants have a reduced amount of cell wall degrading enzyme polygalacturonase?
Which of the following cells were introduced in the body of a patient to treat adenosine deaminase (ADA) deficiency by gene therapy?
Which of the following statements is false?
Which of the following is responsible for infections in the roots of tobacco plants?
Gene therapy is corrective therapy for which of the following types of diseases?
The full form of GEAC is:
In bacteria, the genes which confer antibiotic resistance on the bacteria are located on __________.
Which attribute is characteristic of a population and not an individual organism?
In a laboratory population of fruit flies, if 4 individuals died during a specified time interval and the population had 40 fruit flies, what is the death rate?
Which level does natural selection operate on to evolve desired traits?
An age pyramid with a wide base and narrow top indicates a population that is:
Which of the following statements is/are INCORRECT?
What does a population's birth rate refer to?
Interactions between different species living within a particular area may be:
What is the main aim for using herbicide resistant genetically modified crops?
The yeasts Saccharomyces cerevisiae and S. ellipsoideus are respectively used in the production of
Azolla pinnata is an important biofertiliser for paddy crops. This property is due to the presence of which of the following?
Methane producing organisms (bacteria) are called methanogens. They are most abundant in a
What is the purpose of biological treatment of wastewater?
Trichoderma harzianum has proved to be a useful microorgnism for which of the following properties?
The bacterium Bacillus thuringiensis is used to control
Which of the following is an organism that is used as a biofertiliser for the yield of Soybean crop?
Which of the following organisms shows symbiotic association between fungi and roots of higher plants?
Choose the correct statement from the following:
Which of the following microorganisms is used for the production of citric acid in industries?
The microorganism(s) which is/are very essential for the formation of curd is/are:
Lactobacillus converts milk to curd and also improves its nutritional quality by increasing
Bio-fertilisers such as Rhizobium, Azotobacter, Azospirillum and blue green algae have been in use since a long time. Which among the following is used as a booster for paddy crop grown under both upland and lowland conditions?
The maximum population size of a species that an environment can sustain indefinitely is known as which of the following?
Assertion: Mechanical tissues are absent or less developed in the floating and submerged parts of hydrophytic plants.
Reason: Generally, elongated and loosely arranged spongy cells are found in the body of submerged hydrophytic plants.
Choose the correct alternative from the following.
Assertion (A): Small animals lose their body heat fast.
Reason (R): Small animals have small surface/volume ratio.
'Suspend' is one of the ways by which organisms deal with stressful conditions. Match the organism with the way it undertakes to cope with stressful conditions.
Which of the following associations shows the same relationship as an orchid and mango branch?
Balanus dominatus of rocky sea coasts of Scotland excluded the smaller Barnacle Chathamalus from the intertidal area. State the relationship mentioned in this sentence?
Which of the following options is true according to Allen's rule?
How does female anopheles mosquito benefit from its host?
A population pyramid with a wide base implies
Which of the following statements is/are correct?
1. Aquatic organisms never face any problem from water.
2. Geographical distribution is dependent upon level of thermal tolerance of different species.
3. Sunlight is insignificant for animals who are dependent on plants for food.
A large naturally occurring community of flora and fauna occupying a major habitat constitutes
Which of the following animals in North American desert has the capability to meet all its water requirements through internal oxidation of fats?
Which among the following is a hybrid variety of rice developed in India?
The technique used to improve chances of successful production of hybrid animals is:
Penicillin G is one of the natural penicillins. Chemically, it is also called:
Beet molasses is used in Assam and Himachal Pradesh as a raw material for ethanol fermentation. It is deficient in:
Which of the following is used in Bee-keeping?
Clostridium spp is used for acetone-butanol fermentation. Which is the major by-product of this process?
Microbacterium ammoniaphilum is utilized for the production of:
Heterofermentative organisms produce several metabolic products apart from the desirable product. Which heterofermentative organism is used for lactic acid production?
Genus Bacillus is exploited in all of the following, except:
In alcohol fermentation:
Thermomonospora, a bacterium isolated from compost, has an optimum temperature of 53 degree Celsius. It is a preferred strain for the production of:
Ashbya gossypii is used for the microbiological production of riboflavin. This organism also acts as a: