question_answer2) A block of mass m is connected to one end of a spring of spring constant k. The other end of the spring is fixed to a rigid support. Tile mass is released slowly so that the total energy of the system is then constituted by only the potential energy, then d is the maximum extension of the spring. Instead, if the mass is released suddenly from the same initial position, the maximum extension of the spring now is (g = acceleration due to gravity)
question_answer3) A particle is projected up from a point at an angle 9, with the horizontal direction. At any time t, if p is the linear momentum, y is the vertical displacement, x is the horizontal displacement, the graph among the following, which does not represent the variation of kinetic energy K of the projectile is
question_answer4) A boy of mass 50 kg is standing on a weighing machine placed at the floor of a lift. The machine reads his weight in newtons. What is the reading of the machine, if the lift is moving Upwards with a uniform Speed of \[10\text{ }m{{s}^{-1}}.\] \[(g=10m{{s}^{-2}})\]
question_answer5) Six marbles are lined Up in a straight groove made on a horizontal frictionless surface as shown below. Two similar marbles in contact, with a common velocity v collide with a row of 6 marbles from left. Which of the following is observed?
A)
One marble from the right rolls out with a speed 2v, the remaining marbles do not move
doneclear
B)
Two marbles from the right roll out with speed v each, the remaining marbles do not move
doneclear
C)
All six marbles in the row will roll out with a speed v/6 each, the two incident marbles will come to rest
doneclear
D)
All eight marbles with start moving to die right, each with a speed of v/8
question_answer6) A body of mass 5 kg makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to \[\frac{1}{10}\] th of its original velocity. Then the mass of the second body is
question_answer7) The acceleration due to gravity at a height h above the earths surface is \[9m{{s}^{-2}}.\] If \[g=10\text{ }m{{s}^{-2}}\]on the earths surface, its value at a point at an equal distance h below the surface of the earth is
question_answer8) A simple pendulum is executing SHM with a period of 6 s between two extreme positions B and C about a point O. If the length of the arc BC is 10 cm, how long will the pendulum take the move from position C to a position D towards O exactly midway between C and O?
question_answer9) A light rod of length 100 cm is suspended from the ceiling horizontally by means of two vertical wires of equal lengths tied to the ends of the rod. One of the wires is made of steel and is of area of cross- section \[0.1\text{ }c{{m}^{2}}.\]The other wire is of brass and of area of cross-section \[0.2\text{ }c{{m}^{2}}.\] The position from the steel wire along the rod at which a load is to be placed to produce equal stresses in both wires is (\[{{Y}_{steel}}=20\times {{10}^{11}}\]dyne \[c{{m}^{-2}};\text{ }({{Y}_{brass}}=10\times {{10}^{11}}dyne\text{ }c{{m}^{-2}})\]
question_answer10) Eight drops of water of 0.6 mm radius each merge to form one big drop. If the surface tension of water is \[0.072\text{ }N{{m}^{-1}},\] the energy dissipated in the process is
question_answer11) A syringe of diameter 1 cm having a nozzle of diameter 1 mm , is placed horizontally at a height 5 m 5m from the ground as shown below. An incompressible non- viscous liquid is filled in the syringe and the liquid is compressed by moving the piston a speed of \[0.5\text{ }{{m}^{-1}},\] the horizontal distance travelled by the liquid jet is \[(g=10\text{ }m{{s}^{-2}})\]
question_answer12) A clock pendulum made of invar has a period of 0.5 s at \[20{}^\circ \]. If the clock is used in a climate where the temperature averages \[20{}^\circ C\], how much time does the clock lose in each oscillation? (For inver \[\alpha =9\times {{10}^{-7}}{{/}^{o}}C\]and g = constant)
question_answer13) The volume of mercury in the bulb of a thermometer is \[{{10}^{-6}}{{m}^{3}}\]. The area of cross- section of the capillary tube is \[2\times {{10}^{-7}}{{m}^{2}}.\]If the temperature is raised by \[100{}^\circ C\], the increase in the length of the mercury column is \[\left( {{\gamma }_{Hg}}=18\,\times \,{{10}^{-5}}{{/}^{0}}C \right)\]
question_answer14) An ideal gas is subjected to cyclic process ABCD as depicted in the p-V diagram given below: Which of the following curves represents the equivalent cyclic process?
question_answer15) The thermo- emf of a certain thermocouple is found to vary with temperature t \[\left( in\text{ }{}^\circ C \right)\] in accordance with the relation: \[E=40t-\frac{{{t}^{2}}}{20}\]where r is the temperature of the hot junction, the cold junction being kept at \[0{}^\circ C\]. The neutral temperature of the couple is
question_answer16) How much heat energy in joules must be supplied to 14 g of nitrogen at room temperature to raise its temperature by \[40{}^\circ C\] at constant pressure? (Mol. wt. of \[{{N}_{2}}=28g,R=\]constant)
question_answer17) Three rods of same dimensions have thermal conductivities 3 K, 2 K and K. They are arranged as shown below: What will be the temperature T of the junction?
question_answer18) A theatre of volume \[100\times 40\times 10\text{ }{{m}^{3}}can\]accommodate 1000 visitors. The reverberation time of the theatre when empty is 8.5 s. If the theatre is now filled with 500 visitors, occupying the front-half seats, the reverberation time changes to 6-2 s. The average absorption coefficient of each visitor is nearly
question_answer19) An observer is standing 500 m away from a vertical hill. Starring from a point between the observer and die hill, a police van moves towards hill with uniform speed sounding a siren of frequency of 1000 Hz. If the frequency of the sound heard by the observer directly from the siren is 970 Hz, the frequency of the sound heard by the observer after reflection from the hill (Hz) is nearly (Velocity of sound in air\[=300m{{s}^{-1}}\])
question_answer20) Four light sources produce the following four waves: (i) \[{{y}_{1}}=a\,\sin \,\left( \omega t\,+\,{{\phi }_{1}} \right)\] (ii) \[{{y}_{2}}=a\,\sin \,2\omega t\] (iii) \[{{y}_{3}}={{a}^{}}\,\sin \,(\omega t+{{\phi }_{2}})\] (iv) \[{{y}_{4}}={{a}^{}}\,\sin \,(3\omega t+\phi )\] Superposition of which two waves gives rise to interference?
question_answer22) Two light beams produce interference pattern to give maxima and minima on the screen. If the intensities of the light beams are in the ratio of 9: 4, then the ratio of intensities of maxima and minima is
question_answer23) A glass slab of thickness 8 cm contains the same number of waves as 10 cm long path of water when both are traversed by the same monochromatic light. If the refractive index of water is \[\frac{4}{3}\], the refractive index of glass is
question_answer24) A magnet of length I, and moment M is cut into two halves (A and B) perpendicular to its axis. One piece A is bent into a semicircle of radius R and is joined to the other piece at the poles as shown in the figure below. Assuming that the magnet is in the form of a thin wire initially, the moment of the resulting moment is given by
question_answer25) A bar magnet of 10 cm long is kept with its N-pole pointing north. A neutral point is formed at a distance of 15 cm from each pole. Given the horizontal component of earths field is 0.4 gauss, the pole strength of the magnet is
question_answer26) Two parallel plane sheets 1 and 2 carry uniform densities a, and \[{{\sigma }_{2}},\] as shown in the figure. The magnitude of the resultant electric field in the region marked I is \[\left( {{\sigma }_{1}}>{{\sigma }_{2}} \right)\]
question_answer27) A parallel plate capacitor with air as dielectric is charged to a potential V using a battery. Removing [he battery, the charged capacitor is then connected across an identical uncharged parallel plate capacitor filled with wax of dielectric constant K. The common potential of both the capacitors is
question_answer28) In the circuit shown below, a voltmeter of internal resistance R, when connected across B 100V and C reads\[\frac{100}{3}V.\]Neglecting the internal resistance of the cell, the value R of
question_answer29) A flash light tamp is marked 3.5 V and 0.28 A. The filament temperature is 425°C. The filament resistance at 0°C is 4°. Then, [he temperature coefficient of resistance of the material of die filament is
question_answer30) The following series L-C-R circuit, when driven by an emf source of angular frequency 70 kilo-radians per second, the circuit effectively behaves like
question_answer31) A 8 \[\mu \]F capacitor is charged by a 400 V supply through 0.1 MO resistance. The time taken by the capacitor to develop a potential difference of 300 V is (Given\[lo{{g}_{10}}4=0.602\])
question_answer32) A charged particle with velocity \[\overrightarrow{v}=x\overrightarrow{i}+y\widehat{j}\] moves in a magnetic field \[\overrightarrow{B}=y\overrightarrow{i}+x\widehat{j}.\] Magnitude of the force acting on the parade is F. The correct option for F is (i) No force will act on panicle if x = y (ii) Force will act along y-axis if y < x (iii) Force is proportional to \[\left( {{x}^{2}}-{{y}^{2}} \right)\]if x > y (iv) Force is proportional to (x2 + y2) if y > x
question_answer33) Electrons accelerated by a potential of V volt strike a target material to produce continuous X-rays. Ratio between the de-Broglie wavelength of the electrons striking the target and the shortest wavelength of the continuous X-rays emitted is
question_answer34) In Millikans oil drop experiment, a charged oil drop of mass \[3.2\,\times \,{{10}^{-14}}\,kg\] is held stationary between two parallel places 6 mm apart, by applying a potential difference of 1200 V between them. How many electrons does the oil drop carry? \[(g=10m{{s}^{-2}})\]
question_answer35) Atomic mass of \[{{^{13}}_{6}}C\] is 13.00335 amu and its ea-s number is 13.0. If 1 amu = 931 MeV, binding energy of the neutrons present in the nucleus is
question_answer36) A full-wave p-n diode rectifier uses a load resistor of 1500\[\Omega \]. No filter is used. The forward bias resistance of the diode is 10\[\Omega \]. The efficiency of the rectifier is
question_answer37) Consider a mass M moving in the positive r- direction with an acceleration a as shown below. The minimum acceleration needed to hold a smaller mass m stationary with respect to M on the vertical side of M is (Assume that the surfaces of M and m in contact are rough)
question_answer38) Two persons A and B are locarcd in the x-y plane at the points (0. 0) and (0, 10) respectively. (The distances are measured in MKS unit). At a time t=0, they start moving simultaneously with velocities \[{{\overrightarrow{v}}_{A}}=2\widehat{j}\,m{{s}^{-1}}\] and \[{{\overrightarrow{v}}_{B}}=2\widehat{i}\,\,m{{s}^{-1}}\].The time after which A and E are at their closest distance
question_answer39) A rod of length; is held vertically stationary with its lower end located at a position P on the horizontal plane. When the rod is released to topple about P. the velocity of the upper end of the rod with which it hits the ground is
question_answer40) A rigid uniform rod of mass M and length L is resting on a smooth horizontal table, Two marbles each of mass m and travelling with uniform speed v collide with two ends of the rod simultaneously and inelastically as shown. The marbles get struck to the rod after the collision and continue to move with the rod. If \[m=\frac{M}{6}\] and v = L ms-1, then the time taken by the rod to rotate through \[\frac{\pi }{2}\] is
question_answer48) Which one of the following is not a method for preparing chloroform? (i) Heating ethyl alcohol with chlorine and alkali. (ii) Heating acetone with bleaching powder and water. (iii) Heating chloral hydrate with aqueous sodium hydroxide. (IV) Distillation of acetone over iron filings and water.
question_answer50) What is the hybridisation state (s) of the atoms in X formed in the following reaction? \[\underset{(vapour)}{\mathop{{{C}_{2}}{{H}_{5}}OH}}\,\xrightarrow[260{{\,}^{o}}C]{A{{l}_{2}}{{O}_{3}}}X\]
question_answer51) Assertion (A) The bond dissociation energy of fluorine is less than bromine. Reason (R) In fluorine molecule, large lone pair electronic repulsions and appreciable intemuclear repulsions are present. The correct answer is
A)
Both (a) and (R) are true and (R) is the correct explanation of
doneclear
B)
Both (A) and (R) are true but (R) is not the correct explanation of
question_answer53) Which of the following reactions of acetic acid involve C-OH bond... (i) Action of Na (ii) Formation of acid chloride (iii) Action with \[\text{NaHC}{{\text{O}}_{\text{3}}}\] (iv) Formation of an ester
question_answer54) Which of the following reactions yield elementary gases like \[{{\text{N}}_{\text{2}}}\text{,}{{\text{H}}_{\text{2}}}{{\text{O}}_{\text{2}}}\]as the byproducts? (i)\[\text{C uO+N}{{\text{H}}_{3}}\xrightarrow{{}}\] (ii) \[2N{{H}_{3}}+2Na\xrightarrow[300-400{{\,}^{o}}C]{Fe}\] (iii) \[8N{{H}_{3}}+3C{{l}_{2}}\xrightarrow{{}}\] (iv) \[2Pb{{(N{{O}_{3}})}_{2}}\xrightarrow{\Delta }\]
question_answer55) Assertion (A) The probability of finding an electron in a small volume around a point \[(x,y,z)\] at a distance r from the nucleus is proportional to \[{{\psi }^{2}}.\] Reason (R) Subatomic particles have both wave and particle nature. The correct answer is
A)
Both (A) and (R) are true and (R) is the correct explanation of
doneclear
B)
Both (A) and (R) are true but (R) is not the correct explanation of
question_answer60) The ratio of moles of hydrogen produced when two moles of aluminium react with excess \[\text{HCl}\] and \[\text{NaOH}\] separately is
question_answer63) The volume of oxygen gas liberated at \[27{{\,}^{o}}C\] and 760 mm Hg pressure when 24.5 g of \[\text{KCl}{{\text{O}}_{\text{3}}}\] is heated, is \[\text{(M}\text{.wt}\text{.of KC1}{{\text{O}}_{\text{3}}}\text{=122}\text{.5)}\]
question_answer67) The vapour of a substance effuses through a small hole at the rate of 1.3 times faster than \[S{{O}_{2}}\]gas at 1 atm pressure and 500 K. The molecular weight of the gas is
question_answer69) After removing the hard shell of an egg by dissolving in dil HC1, a semipermeable membrane is visible. If such an egg is kept in a saturated solution of common salt, the size of the egg will
question_answer71) Molality of an aqueous solution that produces an elevation in boiling point of 1.00 K at 1 atm pressure is (\[{{K}_{b}}\]for water\[=0.512\text{ }K\text{ }kg\text{ }mo{{l}^{-1}}\])
question_answer76) The standard potentials, at \[\text{25}{{\,}^{\text{o}}}\text{C,}\] for the half- reactions are given against them below : \[Z{{n}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Zn\] \[{{E}^{o}}=-0.762\,V\] \[M{{g}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Mg\] \[{{E}^{o}}=-2.37\,V\] When Zn dust is added to a solution of \[\text{MgC}{{\text{l}}_{\text{2}}}\text{,}\]
question_answer81) A teacher was explaining about a constant physical contact involving almost equal physiological interdependence in two different thalloid forms. He was trying to explain one of the following
Select the correct pair of answers in which the former represents the set of characters present in Poinsettia and the latter in [he pair represents the set of characters present in Casuarina.
question_answer85) A student observed 34 inflorescences in Bougainvillea and 42 inflorescences in oinsettia. Find out the number of flowers in Bougainvillea and the number of female flowers in Poinsettia respectively. The correct pair is
question_answer86) Assertion In syconus type of fruit, the achenes formed are fewer than the total number of flowers in the inflorescence from which it is formed. Reason (R) Upper and middle flowers cannot develop into fruits. The correct answer is
A)
Both (A) and (R) are true and (R) is the correct explanation of
doneclear
B)
Both (a) and (R) are true, but (R) is not the correct explanation of
question_answer87) There are 10 flowers in one individual plant of Crotalaria. In each micro sporangium of every stamen of all the dowers, there are 30 microspore mother cells. How many pollen grains are formed from that plant?
question_answer88) A perennial shrub has compound leaves and solitary zygomorphic and epigynous flowers. Each flower reveals dichlamydeous condition with many stamens and multiple fruit with exalbuminous seeds. What is the ratio of advanced and primitive characters in it?
question_answer89) Assertion (A) An ascending taxonomic sequence of Gossypium herbaceum indicates its placement in progressively higher groups- Reason (R) Ascending taxonomic hierarchy indicates that a taxon is treated as belonging to a number of taxa. The correct answer is
A)
Both (A) and (R) are true and (R) is the correct explanation of
doneclear
B)
Both (A) and (R) are true, but (R) is not the correct explanation of
question_answer90) A plant with actinomorphic and hypogynous flowers, heterochlamydeous perianth, dorsifixed and extrorse anthers dehiscing transversely belongs to
question_answer93) If there are 120 adenine molecules in a B-DNA double helical structure showing 20 coils, what is the number of pyrimidine nucleotides forming three hydrogen bonds in it?
question_answer94) From evolutionary point of view, tracheids and sieve cells are more primitive than tracheae and sieve tubes respectively. The angiosperms have
question_answer95) Arrange the following in the order of their location from periphery to centre in the entire dicotyledonous plant body (i) Fusiform cells (ii) Trichoblasts (iii) Collocytes (iv) Tyloses The correct sequence is
question_answer96) Assertion (A) Apical and intercalary meristems contribute to the growth in length while the eral meristems bring increase in girth in Reason (R) Apical and intercalary meristems always increase the height of plants. The correct answer is
A)
Both (A) and (R) are true and (R) is the correct explanation of
doneclear
B)
Both (A) and (R) are true, but(R) is not the correct explanation of
question_answer98) Assertion (A) True xerophytes store water in the form of mucilage which helps to withstand prolonged period of drought. Reason (R) Vascular and mechanical tissues are well developed in true xerophytes. The correct answer is
A)
Both (A) and (R) are true and (R) is the correct explanation of
doneclear
B)
Both (A) and (R) are true, but (R) is not the correct explanation of
question_answer99) In garden pea, yellow color of cotyledons is dominant over green and round shape of seed is dominant over wrinkled. When a plant with yellow and round seeds is crossed with a plant having yellow and wrinkled seeds, the progeny showed segregation for all the four characters. The probability of obtaining green round seeds in the progeny of this cross is
question_answer100) A homozygous sweet pea plant with blue flowers (RR) and long pollen \[({{R}_{0}}{{R}_{0}})\] is crossed with a homozygous plant having red flowers (rr) and round pollen \[({{r}_{0}}{{r}_{0}}).\] The resultant \[{{F}_{1}}\]hybrid is test crossed. Which of the following genotype does not appear in its progeny?
question_answer101) Two adjacent filaments of Spirogyra affinis each 10 cells participating in reproduction. How many new Spirogyra plants are produced during sexual reproduction?
question_answer102) Arrange following in correct sequence with reference to sexual reproduction in Rhizopus. (i) Formation of germ tube (ii) Formation of zygophores (iii)Formation of warty wall layer of zygospore (iv) Secretion of trisporic acid The correct sequence is :
question_answer106) Identify the correct pair of events when temperate phages infect bacteria. (i) No prophages are formed (ii) Bacterial cell undergoes many divisions (iii) Bacterial cell undergoes immediate lysis (iv) Prophages are formed The correct pair is
question_answer107) The osmotic potential and pressure potential of three cells (A,B,C) located in different parts of an actively transpiring plant are given below
Cell
Osmotic Potential (MP a)
Osmotic Potential (MP a)
A
-0.87
0.44
B
-0.92
0.34
C
-0.68
0.27
Identify these three cells as rot hair, root cortical and leaf mesophyll cells respectively. The correct answer is
question_answer108) Read die following table (i) DCMU Herbicide Inhibitor of non-cyclic electron transport (ii) PMA Fungicide Reduce transpiration (iii) Colchicine Alkaloid Causes male sterility (iv) Soilrite Sodium Encapsulation alginate of somatic embryos Identify the correct pair of answers
question_answer109) The number of stomata and epidermal cells in 1 mm2 leaf area of lower epidermis of the leaves of X, Y and Z plants are given below. Arrange the plants in decreasing order of their stomatal index
question_answer111) Assume that an actively respiring cell has 3x number of K+ in its cytoplasm and 2x number of K+ outside. After some time, x number of K+ entered into the cell. What is the process by which K+ transport has taken place?
question_answer112) Four respiratory enzymes are given below. Arrange them in increasing order of the carbon number of the substrates on which they act (i) Enolase (ii) aconitase (iii) rumerase (iv) alcohol dehydrogenase The correct order is
question_answer116) Identify two physiological processes induced by two different phytohormones having a common precursor, which is formed due to the catalytic activity of pyruvic dehydrogenase complex. (i) More female flowers in cucumber (ii) \[\alpha \]-amylase production in barley grain (iii) Acceleration of fruit ripening in tomato (iv) Delay in sprouting of potato tubers The correct combination is
question_answer119) The characteristics of a molecular probe are (i) very long molecule (ii) double stranded (iii) DNA or RNA (iv) complementary to a part of desired gene The correct pair is
question_answer120) Assertion (A) Somoclonal variations may be present in plants produced from callus. Reason (R) Somoclonal variations are caused due to recombination during meiosis. The correct answer is
A)
Both (A) and (R) are true and (R) is the correct explanation of
doneclear
B)
Both (A) and (R) are true. bur (R) is not die correct explanation of
question_answer121) Assertion (A) "The Biological Species" concept helps us to ask how species are formed. Reason (R) The concept of biological species focusses our attention on the question of how reproductive isolation comes about.
A)
Both (A) and (R) are true but (R) does not explain
doneclear
B)
Both (A) and (R) are not true
doneclear
C)
Only (A) is true but (R) is not erne
doneclear
D)
Both (A) and (R) are correct and (R) is a true explanation to
question_answer129) Assertion (A) Predation is an interspecific interaction with a feeding strategy. Reason (R) Predation and their prey maintain fairly stable population through time and rarely one population become abundant or scarce.
A)
Both (A) and (R) are not true
doneclear
B)
Both (A) and (R) are true and (R) is a correct explanation of
doneclear
C)
Only (A) is true (R) is not true
doneclear
D)
Both (A) and (R) are true bur (R) is not a correct explanation of
question_answer132) Note the following (A) Fenestra (B) Pedical (C) Lacinia (D) Flagellum (E) Galea (F) Mentum (G) Palpifer (H) Cardo (I) Glossa Which of the above found in the first pair of maxillae in case of cockroach?
question_answer133) Note a following An insect whose mouthparts are biting and chewing type in the larval condition, while they are in the adult and this insect gives an economically important substance during yet another stage of its development. The insect is
question_answer134) Note the following (A) Mononcytes (B) Trophocytes (C) Lymphocytes (D) Mycetocytes (E) Leucocytes (F) Oenocytes (G) Urate cells Which of the above are fat cells in Periplaneta?
question_answer136) The growth of a population without limit at its maximal race and also that, rates of immigration and emigration are equal, then it is called
question_answer137) The state of Gujarat has river, desert, forest and lake ecosystems, thus exhibiting a diversity of life. Which measure do you use to denote total diversity in such a case?
question_answer146) Which of the below given bones divide olfactory capsules in rabbit into left and right halves nasals premaxillae maxillae meseihmoid
question_answer154) A woman with blood group 0 has a child with blood group 0. She claims that a man with blood group A as the father of her child. What would be the genotype of the father, if her claim is right?
question_answer157) Assertion (A) The theory of survival of die finest is widely misunderstood. Reason (R) Evolution does not always increase the chances of a species survival and species do not survive when such chances happen rapidly.
A)
Both (A) and (R) are true but (R) does not explain
doneclear
B)
Only (A) is true But (R) cannot explain
doneclear
C)
Both (A) and (R) are true and (R) is a correct explanation of