question_answer2) Given two vectors \[A\to =-\widehat{i}+2\widehat{j}-3\widehat{k}\] and \[B\to =4\widehat{i}+2\widehat{j}-6\widehat{k}.\]. The angle made by \[(A\to +B\to )\] with x-axis is
question_answer3) A body is thrown vertically up with certain initial velocity. The potential and kinetic energies of the body are equal at a point P in its path. If the same body is thrown with double the velocity upwards, the ratio of potential and kinetic energies of the body when it crosses the same point, is
question_answer4) A body of mass 2 kg is thrown up vertically with kinetic energy of 490 J. If \[g=9.8\text{ }m/{{s}^{2}},\]the height at which the kinetic energy of the body becomes half of the original value, is
question_answer5) The apparent weight of a person inside a lift is w1 when lift moves up with a certain acceleration and is w2 when lift moves down with same acceleration. The weight of the person when lift moves up with constant speed is
question_answer6) In the figure, pendulum bob on left side is pulled aside to a height h from its initial position. After it is released it collides with the right pendulum bob at rest, which is of same mass. After the collision the two bobs stick together and raise to a height
question_answer7) A sphere of mass m moving with constant velocity\[\mu \], collides with another stationary sphere of same mass. If e is the coefficient of restitution, the ratio of the final velocities of the first and second spheres is
question_answer8) 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, the acceleration of the system in \[m{{s}^{-2}}\]is \[(g=10m{{s}^{-2}})\]
question_answer9) The radius of gyration of a rod of length L and mass M about an axis perpendicular to its length and passing through a point at a distance L/3 from one of its ends is
question_answer10) A ball of mass 0.6 kg attached to a light inextensible string rotates in a vertical circle of radius 0.75 m such that it has a speed of \[5\text{ }m{{s}^{-1}}\] when the string is horizontal. Tension in string when it h horizontal on other side is \[(g=10m{{s}^{-}}2)\]
question_answer11) A body of mass m is raised from the surface of the earth to a height nR (R = radius of earth). Magnitude of the change in the gravitational potential energy of the body is (g = acceleration due to gravity on the surface of earth)
question_answer12) The displacement of a particle of mass 3 g executing simple harmonic motion is given by Y = 3 sin (0.2t) in SI units. The kinetic energy of the particle at a point which is at a distance equal to - of its amplitude from its mean position is
question_answer14) A liquid drop of radius R breaks into 64 tiny drops each of radius r. If the surface tension of the liquid is T, then the gain in energy is
question_answer15) The pressure on the top surface of an aeroplane wing is \[0.8\times 105\] Pa and the pressure on the bottom surface is \[0.75\times 10s\] Pa. If the area of each surface is 50 m2, the dynamic lift on the wing is
question_answer16) Two rods of different materials with coefficients of linear thermal expansion \[{{\alpha }_{1}},{{\alpha }_{2}}\] and Youngs moduli Y1 and Y2 respectively are fixed between two rigid walls. They are heated to have the same increase in temperature. If the rods do not bend and if 0.1 : a: = 2: 3, then the thermal stresses developed in the two rods will be equal when \[{{Y}_{1}}:{{Y}_{2}}\]is equal to
question_answer17) What fraction of the volume of a glass flask must be filled with mercury so that the volume of the empty space may be the same at all temperatures? \[(~=9\times {{10}^{-6}}/{}^\circ C,{{\gamma }_{Hg}}=18.9\times {{10}^{-5}}/{}^\circ C)\]
question_answer19) Consider the following two statements and choose the correct answer. (A) If heat is added to a system its temperature must always increase. (B) If positive work is done by a system in thermodynamic process, its volume must increase.
question_answer21) A uniform wire of linear density \[0.004\text{ }kg-{{m}^{-1}}\] when stretched between two rigid supports with a tension \[3.6\times {{10}^{2}}N,\] resonates with a frequency of 420 Hz. The next harmonic frequency with which the wire resonates is 490 Hz. The length of the wire in metres is
question_answer24) The velocities of light in two different mediums are \[2\times {{10}^{8}}m{{s}^{-1}}\] and \[2.5\times {{10}^{8}}m{{s}^{-1}}\] respectively. The critical angle for these mediums is
question_answer25) A diverging meniscus lens of 1.5 refractive index has concave surfaces of radii 3 and 4 cm. The position of the image, if an object is placed 12 cm in front of the lens, is
question_answer26) The source is at some distance from an obstacle. Distance between obstacle and the point of observation is b and wavelength of light is \[\lambda \]. Then the average distance of nth Fresnel zone will be at a distance ... from the point of observation.
question_answer27) A bar magnet suspended freely in a uniform magnetic field is vibrating with a time period of 3 s. If the field strength is increased to 4 times of the earlier field strength, the time period will be (in seconds)
question_answer28) A bar magnet of magnetic moment \[{{M}_{1}}\]is axially cut into two equal parts. If these two pieces are arranged perpendicular to each other, the resultant magnetic moment is \[{{M}_{2}}.\]Then the value of \[{{M}_{1}}/{{M}_{2}}\]is
question_answer30) Three charges 1 \[\mu \]C, 1 \[\mu \]C and 2 \[\mu \]C sire kept at the vertices A, B and C of an equilateral triangle ABC of 10 cm side, respectively. The resultant force on the charge at C is
question_answer31) Two unknown resistances X and Y are connected to left and right gaps of a metre bridge and the balancing point is obtained at 80 cm from left. When a 10\[\Omega \] resistance is connected in parallel to X the balancing point is 50 cm from left. The values of X and Y respectively are
question_answer32) The current in a circuit containing a battery connected to 2\[\Omega \] resistance is 0.9 A. When a resistance of 7\[\Omega \] is connected to the same battery, the current observed in the circuit is 0.3 A. Then the internal resistance of the battery is
question_answer33) In a thermo-couple the cold junction is at \[30{}^\circ C\]. The temperature of inversion is found to be \[540{}^\circ C\]. then the neutral temperature is
question_answer34) The emf induced in a secondary coil is 20000 V when the current breaks in the primary coil. The mutual inductance is 5H and the current reaches to zero in \[{{10}^{-4}}s\]in the primary. The maximum current in the primary before it breaks is
question_answer35) Two coils are wound on the same iron rod so that the flux generated by one passes through the other. The primary coil has Np turns in it and when a current 2A flows through it the flux in it is \[2.5\times {{10}^{-4}}Wb.\] If the secondary coil has 12 turns the mutual inductance of the coils is (assume the secondary coil is in open circuit)
question_answer36) A coil of 40 H inductance is connected in series with a resistance of 8\[\Omega \] and this combination is connected to the terminals of a 2V battery. The inductive time constant of the circuit is (in seconds)
question_answer37) The velocity of the most energetic electrons emitted from a metallic surface is doubled when the frequency v of the incident radiation is doubled. The work function of this metal is
question_answer38) A proton and an alpha particle are accelerated through the same potential difference. The ratio of the wavelengths associated with proton and alpha panicle respectively is
question_answer40) In a transistor circuit the base current change: from 30 \[\mu \]A to 90 \[\mu \]A. If the current gain of the transistor is 30, the change in the collector current is
question_answer42) In an oxidation reduction reaction, dichromate \[(C{{r}_{2}}O_{7}^{2-})\] ion is reduced to \[\text{C}{{\text{r}}^{\text{3+}}}\]ion. the equivalent weight of \[{{\text{K}}_{\text{2}}}\text{C}{{\text{r}}_{\text{2}}}{{\text{O}}_{\text{7}}}\] in this reaction is
question_answer43) When 3.86 A current is passed through an electrolyte for 50 min, 2.4 g of a divalent metal is deposited. The gram atomic weight of the metal (in grams) is
question_answer44) Calculate the difference between \[\Delta E\]and\[\Delta H\] for the following reaction at \[\text{27}{{\,}^{\text{o}}}\text{C}\] (in kcal) \[C(graphite)+{{H}_{2}}(g)\xrightarrow{{}}C{{H}_{4}}(g)\]
question_answer46) \[{{C}_{2}}{{H}_{5}}Cl\xrightarrow[A{{g}_{2}}O]{moist}A\xrightarrow[360{{\,}^{o}}C]{A{{l}_{2}}{{O}_{3}}}B\xrightarrow[{}]{{{S}_{2}}C{{l}_{2}}}C\] In the above sequence of reactions, identify C.
question_answer51) \[\text{100 mL}\] of 0.1\[\text{M}\,{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\] is added to 200 mL of \[\text{M NaOH}\text{.}\] What is the pH of the resulting mixture ?
question_answer52) \[\text{9}\text{.2 g }{{\text{N}}_{\text{2}}}{{\text{O}}_{\text{4}}}\]is heated in a 1 L vessel till equilibrium state is established\[{{N}_{2}}{{O}_{4}}(g)2N{{O}_{2}}(g)\] In equilibrium state 50% \[{{\text{N}}_{\text{2}}}{{\text{O}}_{\text{4}}}\]was dissociated equilibrium constant will be(mol. wt. of \[{{\text{N}}_{2}}{{O}_{4}}=92\])
question_answer56) In the reactions\[B\xrightarrow{\text{Lindlar}\,\text{catalyst + }{{\text{H}}_{\text{2}}}\text{O}}RC\equiv CR\xrightarrow{\text{Na/N}{{\text{H}}_{\text{3}}}}A\]A and B are geometrical isomers. Then
question_answer57) When \[\text{AgN}{{\text{O}}_{\text{3}}}\]solution is added in excess to 1 M solution of \[\text{CoC}{{\text{l}}_{3}}.x\,\text{N}{{\text{H}}_{\text{3}}}\]one mole of \[\text{AgCl}\] is formed. What is the value of\[x\]?
question_answer60) The atomic number of an element M is 26. How many electrons are present in the M-shell of the element in its \[{{\text{M}}^{3+}}\] state?
question_answer62) If equal volumes of \[\text{1}\,\text{M}\,\text{KMn}{{\text{O}}_{\text{4}}}\]and \[\text{1}\,\text{M}\,{{\text{K}}_{2}}C{{r}_{2}}{{O}_{7}}\]solutions are allowed to oxidise Fe (II) to Fe (III) in acidic medium, then Fe (II) oxidised will be
question_answer63) \[{{N}_{2}}(g)+3{{H}_{2}}(g)2N{{H}_{3}}(g)+22\,\text{kcal}\text{.}\] The activation energy for the forward reaction is 50 kcal. What is the activation energy for the backward reaction?
question_answer67) Ethyl chloride on reduction with \[\text{LiAl}{{\text{H}}_{\text{4}}}\] gives compound X as important product. X on chlorination with one mole of \[\text{C}{{\text{l}}_{2}}\]in the presence of light at ordinary temperature gives Y What is Y?
question_answer68) \[\text{IUPAC}\] name of\[C{{H}_{3}}-C{{H}_{2}}-\underset{C{{H}_{3}}}{\mathop{\underset{|}{\mathop{\underset{C{{H}_{2}}}{\mathop{\underset{|}{\mathop{C}}\,}}\,}}\,}}\,H-\underset{C{{H}_{3}}}{\mathop{\underset{|}{\mathop{C}}\,}}\,=C{{H}_{2}}\]
question_answer69) In the separation of noble gas mixture from air by Ramsay Rayleighs first method, the substances used for the removal of \[{{\text{N}}_{\text{2}}}\] and \[{{\text{O}}_{\text{2}}}\] respectively are
question_answer77) Methyl alcohol when reacted with carbon monoxide using cobalt or rhodium as catalyst, compound A is formed. A on heating with HI in the presence of red phosphorus as catalyst ff is formed. Identify B
question_answer86) A transverse section of Pheretima taken through the 10th segment is observed in microscope. Which of the following structures can be observed in the section?
A)
Stomach, Dorsal blood vessel. Ventral blood vessel, Supra- oesophageal vessel, Anterior loops. Ring vessel and Micronephridia
doneclear
B)
Stomach, Dorsal blood vessel, Ventral blood vessel. Lateral hearts, Ring vessels and Pharyngeal nephridia
question_answer91) In man four phenotypes of blood groups are due to the presence of antigen A and antigen B on the RBC. The chromosome that has the gene to control these antigens is
question_answer95) Intron transcripts in heterogenous nuclear RNA (in RNA) are removed and exon transcripts are joined together under the direction of protein complexes. These complexes are
question_answer99) When a cross is conducted between black feathered hen and a white feathered cock, blue feathered fowls are formed. When these fowls are allowed for interbreeding, in F2 generation, there are 20 blue fowls. What would be the number of black and white fowls?
question_answer104) Assertion (A) : Conjugation is a temporary union between two ciliates belonging to two different mating types for the exchange and reconstitution of nuclear materials. Reason (R): Conjugation occurs between two inactive individuals which have gained their vigour and vitality due to chromosomal imbalance in their macronuclei, caused by repeated amitotic division The correct answer is
question_answer114) Assertion (A): Daphnia populations in a water body, at different seasons of an year showed market variations in their body morphology. Reason (R): Cyclomorphosis in some plariktonic organisms is influenced by the variations in temperatures prevailing in their water bodies at different seasons.
question_answer115) Assertion (A) : The phenomenon where tumour cells detach and migrate to other parts of the body where they give rise to secondary tumours is called metastasis. Reason (R): Abnormal antigens on the surface of cell and unusual member of chromosomes cause metastasis. The correct answer is
question_answer119) In poultry birds nasal and eye discharges with foul smell, acute respiratory problem and inflamed and swollen eyes are the symptoms of
question_answer122) The Scientist who through his extensive researches found that the regular recurrence of rust disease every years on wheat plants in India is due to the pathogenic fungal inoculum carried through wind currents from hills to plains
question_answer126) Assertion (A) : The type of inflorescence in Sphaeranthus is cyathium Reason (R) : In cyathium type of inflorescence, the flowers are achlamydeous the correct answer is
A)
(A) and (R) are true and (R) is the correct explanation of
doneclear
B)
(A) and (R) true but (R) is not the correct explanation of
question_answer128) Wearing isolated a dormancy inducing substance from the leaves of a plant. From which type of gynoecium does the fruit of that plant develop?
A)
Bicarpellary syncarpous gynoecium with inferior ovary
doneclear
B)
Bicarpellary syncarpous gynoecium with superior ovary
doneclear
C)
Tricarpellary syncarpous gynoecium with superior ovary
question_answer132) Assertion (A) : Ribosomes are considered as the most primitive cell organelles Reason (R) : Ribosomes occur in all eukaryotic Organisms The correct answer is
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_answer133) The internal structure of a plant stem is observed. There is a discontinuous ring of angular collenchyma below the epidermis. Type of vascular bundles arc of the same type as in the stems of solanaceous plants. Sieve tube elements possess simple sieve plates identify the plant
question_answer138) Which one of the following families shows both freedom and fusion in four successive whorls of the flower from exterior in different members?
question_answer140) Assertion (A) : Both apospory and apogamy are observed in Pteris. Reason (R) : They are evident by the production of haploid sporophyte by apospory and diploid gametophyte by apogamy. The correct answer is
A)
(A) and (R) are true and (R) is the correct explanation of
doneclear
B)
(A) and (R) are true but (R) is not correct explanation of
question_answer150) Assertion (A) : K+ ion accumulation found in Nitella depends on its respiratory activity. Reason (R): Absorption of all ions in plants completely depends on the usage of metabolic energy. The correct answer is
A)
(A) and (R) are true and (R) is correct explanation of
doneclear
B)
(A) and (R) are true but (R)is not the correct explanation of
question_answer157) Assertion (A) : Decapitation of shoot tip in plants inhibits the growth of their lateral buds. Reason (R) : Accumulation of auxins in lateral buds causes inhibition of their growth. The correct answer is
A)
(A) and (R) are true and (R) is correct explanation of
doneclear
B)
(A) and (R) are true but (R) is not correct explanation of
question_answer158) Assertion (A): Ethylene stimulates growth in case of wounds and thus helps in wound healing. Reason (R): Ethylene causes triple response growth in plants.
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_answer160) Two plants A and B belonging to Solanaeeae are observed. In plant A the number of locules in the ovary of a flower is half of that of its carpel number. In plant B, the number of locules in the ovary of a flower is double the number of carpels. Identify the plants A and B respectively