question_answer2) Of the vectors given below, the parallel vectors are, \[{{A}^{\to }}=6\widehat{i}+8\widehat{j}\] \[{{B}^{\to }}=210\widehat{i}+280\widehat{k}\] \[{{C}^{\to }}=5.1\widehat{i}+6.8\widehat{k}\] \[{{D}^{\to }}=3.6\widehat{i}+6\widehat{j}+48\widehat{k}\]
question_answer3) A body of mass 2 kg is projected from the ground with a velocity \[20m{{s}^{-1}}\] at an angle \[30{}^\circ \] with the vertical. If \[{{t}_{1}}\]is the time in seconds at which the body is projected and \[{{t}_{2}}\]is the time in seconds at which it reaches the ground, the change in momentum in kg ms-1 during the time \[({{t}_{2}}{{t}_{1}})\]is:
question_answer4) A particle is moving in a circle of radius r with a constant speed V. The change in velocity after the particle has travelled a distance equal to \[\left( \frac{1}{8} \right)\]of the circumference of the circle is:
question_answer5) A body is projected vertically upwards with a velocity u. It crosses a point in its journey at a height h twice, just after 1 and 7 s. The value of \[\mu \] is ms-1 is: \[(g=10{{m}^{-2}})\]
question_answer6) Four particles, each of mass 1 kg are placed at the comers of a square OABC of side 1 m. O is at the origin of the co-ordinate system. OA and OC are aligned along positive X-axis and positive V-axis respectively. The position vector of the centre of mass is (in m):
question_answer7) In two separate collisions, the coefficients of restitutions \[{{e}_{1}}\]and \[{{e}_{2}}\]are in the ratio 3: 1. In the first collision the relative velocity of approach is twice the relative velocity of separation. Then the ratio between the relative velocity of approach and relative velocity of separation in the second collision is:
question_answer8) A block of wood resting on an inclined plane of angle \[30{}^\circ \], just starts moving down. If the coefficients of friction is 0. 2, its velocity (in ms-1) after 5 s is: \[(g=10m{{s}^{-2}})\]
question_answer9) The kinetic energy of a body rotating at 300 revolutions per minute is 62.8 J. Its angular momentum \[(\text{in kg}\,{{m}^{2}}{{s}^{-1}})\]is approximately:
question_answer10) A uniform circular disc of radius R lies in the X- Y plane with its centre coinciding with the origin of the co-ordinate system. Its moment of inertia about an axis, lying in the X-Y plane, parallel to the X-axis and passing through a point on the Y-axis at a distance y = 2R is \[{{I}_{1}}.\]Its moment of inertia about an axis lying in a plane perpendicular to X-Y plane passing through a point on the X-axis at a distance x = d is \[{{I}_{2}}.\]If \[{{I}_{1}}=\text{ }{{I}_{2}},\]the value of d is :
question_answer12) The simple harmonic motion of a particle is represented by the equation x = 4 cos \[\left[ 88t+\frac{\pi }{4} \right].\] The frequency (in Hz) and the initial displacement (in m) of the particle are:
question_answer13) A mass of 6.5kg in hanging from the end of a 60 cm long steel wire \[(Y=2\times {{10}^{11}}Pa)\] with area of corss-section 0.05 cm2. When it is revolving in a vertical circle it has an angular velocity of 2 revolutions per second, at the bottom of the circle. Approximate elongation of the wire (in metres) when the mass is at its lowest point of the trajectory is:
question_answer14) A wire of length I metres, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in millimetres) up to which it can continue to float is : (surface tension of water is\[T=70\times {{10}^{-3}}N{{m}^{-1}}\])
question_answer15) The speeds of air-flow on the upper and lower surfaces of a wing of an aeroplane are v1 and v2 respectively. If A is the cross-sectional area of the wing and p is the density of air, then the upward lift is:
question_answer16) What should be the pressure inside a small air bubble of 0.1 mm radius situated just below the water surface? Surface tension of water \[=7.2\times {{10}^{-2}}N/m\]and atmospheric pressure \[=1.013\times {{10}^{5}}N/{{m}^{2}}\]
question_answer17) The temperature of a gas contained in a closed vessel increases by \[2{}^\circ C\] when the pressure is increased by 2%. The initial temperature of the gas is :
question_answer18) An ideal gas after going through a series of four thermodynamic states in order, reaches the initial state again (cyclic process). The amounts of heat (Q) and work (W) involved in these states are:
\[{{Q}_{1}}=6000\text{ }J,\]
\[{{Q}_{2}}=-5500\text{ }J\]
\[{{Q}_{3}}=-3000\text{ }J,\]
\[{{Q}_{4}}=3500\text{ }J\]
\[{{W}_{1}}=2500\text{ }J,\]
\[{{W}_{2}}=-1000\text{ }J\]
\[{{W}_{3}}=-1200\text{ }J,\]
\[{{W}_{4}}=\times J\]
The ratio of net work done by the gas to the total heat absorbed by the gas is n. The value of x and n are nearly:
question_answer19) m grams of a gas of molecular weight M is flowing in an isolated tube velocity v. If the gas flow is suddenly stopped the rise in the temperature is: (y = ratio of specific heats, R = universal gas constant, J = mechanical equivalent of heat).
question_answer20) A bullet of mass \[10\times {{10}^{-3}}kg\]moving with a speed of \[20\text{ }m{{s}^{-}}1\]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).
question_answer21) The frequency of a tuning fork is 256 Hz. The velocity of sound in air \[344\text{ }m{{s}^{-1}}.\] The distance travelled (in metres) by the sound during the time in which the tuning fork completes 32 vibrations is:
question_answer22) A uniform string of length 1.5 m has two successive harmonics of frequencies 70 Hz and 84 Hz. The speed of the wave in the string \[(in\text{ }m{{s}^{-1}})\] is:
question_answer23) The effective focal length of the lens combination shown in the figure in - 60 cm. The radii of curvature of the curved surfaces of the Plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5. The refractive index of the liquid is:
question_answer24) In Ramadens eye-piece, the two plano-convex lenses each of focal length/, are separated by a distance 12 cm. The equivalent focal length (in cm) of the eye lens:
question_answer25) A light ray in travelling between two media as given below. The angle of incidence on the boundary in all the cases is \[30{}^\circ \]. Identify the correct sequence of increasing order of angles of refraction: (1) air to water (2) water to glass (3) glass to water (Refractive indices of glass and water are respectively \[\frac{3}{2}\]and\[\frac{4}{3}\])
question_answer26) Two coherent monochromatic light sources are located at two vertices of an equilateral triangle. If the intensity due to each of the sources independently is 1 Wm-2 ) at the third vertex, the resultant intensity due to both the sources at that point (i.e., at the third vertex) is: \[(in\text{ }W{{n}^{-2}})\]
question_answer27) The magnetic induction of a distance d from the magnetic pole of unknown strength m is B. If an identical pole is now placed at a distance of 2d from the first pole, the force between the two poles is:
question_answer28) Two short bar magnets P and Q are arranged such that their centres are on the X-axis and are separated by a large distance. The magnetic axes of P and Q are along X and Y axes respectively. At a point R, midway between their centres, if B is the magnitude of induction due to Q, the magnitude of total induction at R due to the both magnets is:
question_answer29) The electrical potential on the surface of a sphere of radius r due to a charge \[3\times {{10}^{-6}}C\]is 500 V. The intensity of electric field on the surface of the sphere is \[\left[ \frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}N{{m}^{2}}{{C}^{-2}} \right]\]\[(in\text{ }N{{C}^{-1}})\]:
question_answer30) Two unit negative charges are placed on a straight line. A positive charge q is placed exactly at the mid-point between these unit charges. If the system of three charges is in equilibrium the value of q (in C) is:
question_answer31) Consider the following statements A and B and identify the correct answer:
A: Thermistors can have only negative temperature coefficients of resistance.
B: Thermistors with negative temperature coefficients of resistance are used as resistance thermometers, to measure low temperature of the order of 10 K.
question_answer32) A teacher asked a student to connect N cells each of emf e in series to get a total emf of Ne. While connecting, the student, by mistake, reversed by polarity of n cells. The total emf of the resulting series combination is:
question_answer34) Assertion (A) : When a conducting wire loop which is inside a uniform magnetic field directed perpendicular to its plane, is moving with uniform velocity, an emf is induced in it. Reason (R): When the magnetic flux linked with a conducting wire loop changes with time an emf is induced in the cable.
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_answer35) A coil of 1200 turns and mean area of \[500\text{ }c{{m}^{2}}\]is held perpendicular to a uniform magnetic field of induction \[4\times {{10}^{-4}}.\] The resistance of the coil is 20\[\Omega \]. When the coil is rotated through \[180{}^\circ \] in the magnetic field in 0.1 s the average electric current (in mA) induced is :
question_answer36) A long horizontal rigidly supported wire carries a current is = 96 A. Directly above it and parallel to it at a distance, another wire of 0.144 N weight per metre carrying a current ib = 24 A, in a direction opposite to that of ia. If the upper wire is to float in air due to magnetic repulsion, then its distance (in mm) from the lower wire is:
question_answer37) In X-ray spectrum, transition of an electron from an outer shell to an inner shell gives a characteristics X-ray spectral line. If we consider the spectral line\[{{K}_{\beta }}\], \[{{L}_{\beta }}\] and \[{{M}_{\alpha }},\]then:
A)
\[{{K}_{\beta }}\] and \[{{L}_{\beta }}\] have a common inner shell
doneclear
B)
\[{{K}_{\beta }}\] and \[{{L}_{\beta }}\] have a common outer shell
doneclear
C)
\[{{L}_{\beta }}\] and \[{{M}_{\alpha }}\] have a common outer shell
doneclear
D)
\[{{L}_{\beta }}\] and \[{{M}_{\alpha }}\]have a common innter shell
question_answer38) The de-Broglie wavelength of an electron and the wavelength of a photon are the same. The ratio between the energy of that photon and the momentum of that electron is: c-velocity of light, h-Plancks constant
question_answer39) Assertion (A): Nuclear forces arise from strong Coulombic interactions between protons and neutrons. Reason (R): Nuclear forces are independent of the charge of the nucleons.
A)
Both (A) and are true and (R) is the correct explanation of
doneclear
B)
Both (A) and (R) are true but (R) is not the explanation of
question_answer41) What is the electrode potential (in V) of the following electrode at \[\text{25}{{\,}^{\text{o}}}\text{C}\]? \[\text{N}{{\text{i}}^{2+}}(0.1\,M)Ni(s)\] (Standard reduction potential of \[\text{N}{{\text{i}}^{\text{2}}}\text{+ }\!\!|\!\!\text{ Ni}\]is \[-0.25\,V,\frac{2.303\,RT}{F}=0.06\]
question_answer43) What is the equation for the equilibrium constant \[({{K}_{c}})\] for the following reaction? \[\frac{1}{2}A(g)+\frac{1}{3}B(g)\overset{T(K)}{\mathop{=}}\,\frac{2}{3}C(g)\]
question_answer46) Observe the following reaction : \[A(g)+3B(g)\xrightarrow{{}}2C(g)\] The rate of this reaction \[\left( -\frac{d[A]}{dt} \right)\] is \[3\times {{10}^{-3}}\,\text{mol}\,{{\text{L}}^{-1}}.\] What is the value of\[-\frac{d[B]}{dt}\]in \[\text{mol}\,{{\text{L}}^{-1}}{{\min }^{-1}}.\]?
question_answer48) Consider the following reactions : (i) \[Al+NaOH+{{H}_{2}}O\xrightarrow{\Delta }\] (ii) \[{{F}_{2}}+NaOH(conc.)\xrightarrow{{}}\] (iii) \[NaOH+P(white)+{{H}_{2}}O\xrightarrow{{}}\] The correct set of reactions which give gaseous product is
question_answer49) Acidified \[\text{KMn}{{\text{O}}_{\text{4}}}\]oxidises oxalic acid to\[\text{C}{{\text{O}}_{2}}.\] What is the volume (in litres) of \[{{10}^{-4}}\text{M}\,\text{KMn}{{\text{O}}_{\text{4}}}\] required to completely oxidise 0.5 L of \[{{10}^{-2}}\text{M}\]oxalic acid in acid medium?
question_answer54) A 0 5 g/L solution of glucose is found to be isotonic with a 2.5 g/L solution of an organic compound. What will be the molecular weight of that organic compound?
question_answer57) Sodium metal crystallises at room temperature in a body centred cubic lattice with a cell edge \[\alpha =4.29\overset{\text{o}}{\mathop{\text{A}}}\,.\]The radius of sodium atom is:
question_answer64) The rate of a chemical reaction doubles for every \[\text{10}{{\,}^{\text{o}}}\text{C}\] increase in temperature, if the temperature of reaction is increased from \[\text{30}{{\,}^{\text{o}}}\text{C}\] to \[\text{80}{{\,}^{\text{o}}}\text{C}\text{.}\] The rate of reaction increases:
question_answer65) \[H-O-H\] bond angle in \[{{\text{H}}_{\text{2}}}\text{O}\] is \[\text{104}\text{.}{{\text{5}}^{\text{o}}}\]and not \[\text{10}{{\text{9}}^{\text{o}}}\text{28 }\!\!\!\!\text{ }\] because of:
question_answer66) What is the amount of urea dissolved per litre if aqueous solution is isotonic with 10% cane sugar solution? (mol. wt. of urea = 60)
question_answer67) The reaction,\[{{C}_{6}}{{H}_{5}}CHO+C{{H}_{3}}COO{{C}_{2}}{{H}_{5}}\xrightarrow{{}}\]\[{{C}_{6}}{{H}_{5}}CHO+CHCOO{{C}_{2}}{{H}_{5}}\]is called:
question_answer76) A 0.1 aqueous solution of a weak acid is 2% ionised. If the ionic product of water is \[1\times {{10}^{-4}}.\] The \[[O{{H}^{-}}]\] is:
question_answer81) Statement (S): Linnaeus system of animal classification is essentially an artificial system, yet it has become a natural system. Reason (R): Similarities forming the basis ininnaeus system are indicative of genetic relationship.
A)
Both (S) and (R) are true and (R) is the correct explanation to (S)
doneclear
B)
Both (S) and (R) are true, but (R) cannot explain (S)
question_answer83) Lepas, Limulus, Lepisma and Scolopendra have jointed appendages. Which of the below given set of organisms are aquatic and respire through gills :
question_answer87) A triploblastic pseudocoelomate, bilaterally symmetrical human parasite which is oviparous and the transmission are by contact. It is :
question_answer88) In Pheretima, the lateral hearts that connect the supraoesophageal blood vessel with ventral blood vessel are located in these segments :
question_answer110) A bald headed (Bb) man marries a non-bald woman (Bb), their progeny if all are females, the probable bald to non-bald ratio in their progency would be :
question_answer115) In a population of 278, if observed number of MM, MN and NN blood groups is 78,138 and 62 respectively, what would be the frequency of M?
question_answer122) Which are of the following has epiphytic features and aerial and flattened photosynthetic roots, without formal organization of stem and leaves?
question_answer123) Parts of two plants were observed. Structure develops aerially and produces roots when comes in contact with the soil. Structure B develops from underground part of the stem, grows obliquely becomes aerial and produces roots on its lower surface. Identify, respectively the structure of A and B:
Select the correct pair of answers in which the former in the pair shows the set of characters present in Cucurbita and the latter in the pair shows the set of character absent in Acacia :
question_answer129) Two dry fruits (A and B) were observed. Both developed from uni-Iocular ovaries of monocarpellary gynoecia. In fruit, A pericarp and seed coat are free. It liberated the seeds only after the disintegration of the pericarp. Fruit B dehisced dorsiventrally librating the seeds. In the following the former in the pair represents A and latter B To which types of fruits. A and B respectively belong?
question_answer131) Assertion (A) : A morphology based approach to taxonomy is called Alpha taxonomy and it is old fashioned. Reason (R): A multi-disciplinary approach to taxonomy called Omega taxonomy is favoured in recent years. As it excludes morphological features.
A)
(A) and (R) are true and (R) is the correct explanation of
doneclear
B)
(A) and (R) are true but R is not the correct explanation of
question_answer134) The tripoloid number of chromosomes of the first taxon is 10 times more than the haploid number of chromosomes of the second taxon, while the diploid number of the third taxon is 6 time more than the haploid number of the fourth taxon. Which one of the following shows the ascending order of the number of chromosomes in their respective endosperm?
question_answer137) Which one of the following statements is correct, for Bundle sheath of monocot leaves is similar to that of monocot steam", as both them?
A)
Possess outer layer of chlorenychyma and inner layer of thick walled cells without chloroplasts
doneclear
B)
Possess extensions made up of sclerenchyma
doneclear
C)
Resemble the endodermis in possession of casparian strips
doneclear
D)
Encircle the vascular bundles, which are conjoint and collateral
question_answer140) A student collected a hydrophyte with swollen petiole and with a single vascular bundle in the root. The plant which he collected was:
question_answer142) If sexual reproduction takes place between the filaments of rhizopus of different strains, one with 80 nuclei and another with 24 nuclei, what would be the total number of spores of different strains put together?
question_answer144) What is the ratio of equational divisions that takes place in Cycas and angiosperms respectively during the formation of male gametes from pollen grains?
question_answer150) Assertion (A): Restriction endonucleases are also called molecular scissors. Reason (R): When fragments generated by restriction endonucleases are mixed, they join together due to their sticky ends.
A)
(A) and (R) are true, (R) is the correct explanation for
doneclear
B)
(A) and (R) are true but (R) is not the correct explanation for
question_answer152) A soil sample is found to have 25% of its volume occupied by soil water. Of this, 10% is hygroscopic water and the remaining in capillary water. What is the field capacity of this soil?
Select the correct pair of answers in which the former in the pair shows the set of reactions taking place during Krebs cycle and the latter in the pair shows the set of reactions that do not takes place during glycolysis:
question_answer158) In E. coli, a finished polypepride has 162 amino acids of which the first amino acid is not a methionine compound. How many nucleotides of DNA are required to code this polypeptide?
