Two balls are projected from the same point in direction inclined at \[60{}^\circ \] and \[30{}^\circ \] to the horizontal. If they attain the same maximum height, what is the ratio of their velocities of projection?
The masses of 10 kg and 20 kg respectively are connected by a massless spring as shown in figure. A force of 200 N acts on the 20 kg mass. At the instant shown the 10 kg, mass has acceleration\[12\text{ }m/se{{c}^{2}}\]. What is the acceleration of 20 kg mass-
A lift is moving downwards with an acceleration equal to the acceleration due to gravity. A body of mass m kept on the floor of the lift is pulled horizontally. If the coefficient of friction is \[\mu \], then the frictional resistance offered by the body is-
A uniform circular disc of radius a is taken. A circular portion of radius b has been removed from it as shown in the figure. If the centre of hole is at a distance c from the centre of the disc, the distance \[{{x}_{2}}\] of the centre of mass of the remaining
A particle moves in a circle of radius 20 cm. Its linear speed is given by \[v\,\,=\,\,2t\] where t is in second and v in m/s. The radial acceleration at \[t\,\,=\,\,3s\] is-
The distance of the centres of moon and earth is D. The mass of earth is 81 times the mass of the moon. At what distance from the centre of the earth, the gravitational force will be zero-
The escape velocity for the earth is\[{{V}_{es}}\]. The escape velocity for a planet whose radius is four times and density is nine times that of the earth is-
Two simple pendulums of lengths 1 meter and 16 meteres respectively are both given small displacements in the same direction at the same instant. They will again be in phase after the shorter pendulum has completed n oscillations where n is
Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at N.T.P. If one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes 1.5 times. The temperature of hot bath will be-
A heat engine receive 200 J of heat from a source and perform 80 J of work. If temperature of sink of the engine is \[27{}^\circ C\] then which of the following can be the temperature of source-
The temperature of 1 mole of an ideal gas decreased from 324 K to 300 K adiabatically in which amount of work done is 60R. Find heat supplied to the gas in increasing the temperature of the gas from 300 K to 324 K under isochoric process-
The temperature of two bodies A and B are respectively \[727{}^\circ C\] and\[327{}^\circ C\]. The ratio \[{{H}_{A}}\,\,:\,\,{{H}_{B}}\,\] of the rates of heat radiated by them is
Two uniform brass rods A and B of length \[\ell \] and 1C. and radii 2r and r respectively are heated to the same temperature. The ratio of the increase in the volume of A to that of B is
Ten tuning forks are arranged in increasing order of frequency in such a way that any two nearest tuning forks produce 4 beats per sec. The highest frequency is twice that of the lowest. Possible highest and lowest frequencies are
A whistler of frequency 540 Hz rotates in a circle of radius 2m at an angular speed of\[15\text{ }rad/sec\]. What is the lowest and highest frequency heard by listener? (take \[{{V}_{sound}}\,\,=\,\,330\text{ }m/sec\])
An electric dipole of length 1 cm is placed with the axis making an angle of \[30{}^\circ \] to an electric field of strength\[{{10}^{4}}\,N{{C}^{-}}^{1}\]. If it experiences a torque of \[10\sqrt{2}\,\,Nm\], the potential energy of the dipole is-
Two identical conducting spheres carrying different charges attract each other with a force F when placed in air medium at a distance d apart. The spheres are brought into contact with then taken to their original positions. Now the two spheres repel each other with a force whose magnitude is equal to that of the initial attractive force. The ratio between initial charges on the spheres is
Current I is flowing in a conductor shaped as shown in the figure. The radius of curved part is r and length of straight portion is very large. The value of the magnetic field at the centre O will be-
A galvanometer of resistance\[50\,\Omega \]. is connected to a battery of 3V along with a resistance of \[2950\,\,\Omega \] in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions the resistance in series should be-
A current of 6 A enters one corner P of an equilateral triangle PQR having 3 wires of resistances \[2\,\Omega \] each and leaves by the comer R. Then the current \[{{I}_{1}}\text{ }and\text{ }{{I}_{2}}\] are-
In an AC circuit the emf (e) and the current (i) at any instant are given respectively by \[e={{E}_{0}}\text{ }sin\text{ }\omega t,\text{ }i={{I}_{0}}\text{ }sin\text{ }(\omega t-\phi )\] The average power in the circuit over one cycle of AC is-
Four identical lenses are kept one beside the other on the same optical axis as shown in the figure. The right surface of rightmost lens is silvered. Focal length of each lens is 20 cm and radius of the silvered surface is 20 cm. The focal length of the combined system is-
A ray of light of intensity I is incident on a parallel glass slab at a point A as shown in fig. It undergoes partial reflection and refraction. AT each reflection \[25%\] of incident energy is reflected. The rays AB and A?B? undergo interference. The ratio \[{{I}_{max}}/{{I}_{min}}\] is-
A telescope has an objective lens of 10 cm diameter and is situated at a distance of 1 km from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is \[5000\overset{{}^\circ }{\mathop{A}}\,\] is of the order of
If stopping potentials corresponding to wavelengths \[4000\,\overset{{}^\circ }{\mathop{A}}\,\] and \[4500\,\overset{{}^\circ }{\mathop{A}}\,\] are 1.3 V and 0.9 V, respectively, then the work function of the metal is-
An element X decay, first by positron emission and then two \[\alpha -particle\] are emitted in successive radioactive decay. If the product nucleus has a mass number 229 and atomic number 89, the mass number and atomic number of element X are-
In an\[\alpha -decay\]the kinetic energy of \[\alpha -particle\] is 48 MeV and Q-value of the reaction is 50 MeV. The mass number of the mother nucleus is- (Assume that daughter nucleus is in ground state)
Angles of minimum deviation is equal to the angle of prism A of an equilateral glass prism. The angle of incidence at which minimum deviation will be obtained is-
A transverse wave is traveling along a string from left to right. The figure below represents the shape of the string at a given instant. At this instant, among the following, choose the wrong statement.
A)
Points D, E, F have upwards positive velocity
doneclear
B)
Points A, B and H have downwards negative velocity
A conducting loop of radius R is present in a uniform magnetic field B perpendicular the plane of the ring. If radius R varies as a function of time ?t?, as \[R={{R}_{0}}+t\]. The e.m.f., induced in the loop is-
If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second then non-zero integers x, y and z such that \[{{P}^{\,x}}\,\,{{Q}^{\,y}}\,\,{{C}^{\,z}}\] is dimensionless, are-
In the reaction \[C{{O}_{2}}\left( g \right)+{{H}_{2}}\left( g \right)\to CO\left( g \right)+{{H}_{2}}O\left( g \right);\text{ }\Delta H=2.8\text{ }kJ\]\[\Delta H\] represents
The state of hybridization of \[{{C}_{2}},\text{ }{{C}_{3}},\text{ }{{C}_{5}}\,and\text{ }{{C}_{6}}\] of the hydrocarbon- is in the following sequence-
In the following sequence of reactions, the end product formed is- \[HC\equiv C-C{{H}_{2}}Br\,\xrightarrow[ether]{Mg}\,\,A\,\,\xrightarrow{C{{H}_{3}}C\equiv CC{{H}_{2}}Br}\,\,B\]
The intermediates formed during the given reaction are- \[{{C}_{6}}{{H}_{5}}C{{H}_{2}}C{{O}_{2}}Ag+B{{r}_{2}}\,\xrightarrow[75{}^\circ C]{dry\,CC{{l}_{4}}}\,{{C}_{6}}{{H}_{5}}C{{H}_{2}}Br\]
A layer of 0.25 mm thick chromium metal is to be electroplated on the rims of autovehicle with a total area of \[32\text{ }{{m}^{2}}\] from a solution of\[CrO_{4}^{2-}\]. What amount of electric current is required for electroplating the rims in 60 sec? The density of chromium metal is 7.2 g/cc - [At. wt. of \[Cr=52\]]
The resistance of a solution 'A' is \[50\,\Omega \] and that of solution 'B' is\[100\,\Omega \], both solutions being taken in the same conductivity cell. If equal volumes of solution A & B are mixed, what will be the resistance of the mixture using the same cell? (Assume that there is no increase in the degree of dissociation of A & B on mixing)
In the sequence of reaction \[L\xrightarrow{{{k}_{1}}}M\xrightarrow{~{{k}_{2}}\text{ }}N~\xrightarrow{{{k}_{3}}}O\] \[{{k}_{3}}>{{k}_{2}}>{{k}_{1}}\], Then the rate determining step of the reaction is:
A reaction takes place in three steps with activation energy \[{{E}_{{{a}_{1}}}}=180\,\,kJ/mol\], \[{{E}_{{{a}_{2}}}}=80\,\,kJ/mol\] and \[{{E}_{{{a}_{3}}}}=50\,\,kJ/mol\] respectively. Overall rate constant of the reaction is \[k={{\left[ \frac{{{k}_{1}}{{k}_{2}}}{{{k}_{3}}} \right]}^{2/3}}\] The activation energy of the reaction will be-
In basic medium, \[CrO_{4}^{2-}\] oxidizes \[{{S}_{2}}O_{3}^{2-}\] to form \[SO_{4}^{2-}\] and itself changes to \[Cr\left( OH \right)_{4}^{-}\]. How many mL of 0.154 M \[CrO_{4}^{2-}\] are required to react with 40 mL of 0.246 M \[{{S}_{2}}O_{3}^{2-}\]?
For the reaction\[A+B\,\,\rightleftharpoons \,\,2C\]; 2 mole of A and 3 mole of B are allowed to react. If the equilibrium constant is 4 at\[400{}^\circ C\]. What will be moles of C at equilibrium?
A solid \[{{X}^{+}}\,\,\,{{Y}^{-}}\] has a bcc structure. If the distance of closest approach between the two atoms is 173 pm, the edge length of the cell is
Which of the following factors is of no significance for roasting sulphide ores to the oxides and not subjecting the sulphide ores to carbon reduction directly?
A)
\[C{{O}_{2}}\] is more volatile than \[C{{S}_{2}}\]
doneclear
B)
Metal sulphides are thermodynamically more stable than \[C{{S}_{2}}\]
doneclear
C)
\[C{{O}_{2}}\] is thermodynamically more stable than \[C{{S}_{2}}\]
doneclear
D)
Metal sulphides are less stable than the corresponding oxides
The alkali metals form salt-like hydrides by the direct synthesis at elevated temperature. The thermal stability of these hydrides decreases in which of the following orders?
A normal - visioned man whose father was colour blind, marries a woman whose father was also colour - blind. They have their first child as a daughter. What are the chances that this child would be colour blind
This is figure of plasmid pBr322. The gene conferring resistance of ampicillin (ApR) can be interrupted by insertion of a DNA fragment into the Psti site, and the gene conferring resistance to tetracycline (TcR) can be interrupted by insertion of a DNA fragment into the BamHI site. Replication is controlled by the ColEl origin. Use of the TcR and ApR genes allows for easy screening for recombinant carrying inserts of foreign DNA. For locating Eco RI, TcR and ApR genes on it. Identify what is represented by A, B and C.
This is the method of making GM crops resistant to attack of pests. Pick up the correct befitting match.
A)
A-Ti plasmid from Agrobacterium, B-Bacilhis thuringensis, C-Recombinent DNA of plasmid of Agrobacterium tumefaciens and Bt genes of bacillus thuringensis, D-Bt cotton killing larvae of bollworm, E-Bt gene
doneclear
B)
A-Bt gene, B-Bacillns thuringensis, C-Recombinent DNA of plasmid of Agrobacterium tumefaciens and Bt genes of Bacillus thuringensis, D-Bt cotton killing larvae of bollworm, E-Ti plasmid from Agrobacterium
doneclear
C)
A-Ti plasmid from Agrobacterium, B-Recominent DNA of plasmid of Agrobacterium tumefaciens and Bt genes of Bacillus thuringensis, C-Bacillus thuringensis, D-Bt cotton killing larvae of bollworm, E-Bt gene
doneclear
D)
A-Bt gene, B-Bt cotton killing larvae of bollworm, C-Recombinent DNA of plasmid of Agrobacterium tumefaciens and Bt genes of Bacillus thuringensis, D-Bacillus thuringensis, E-Ti plasmid from Agrobacterium
How many of the following are polymers Glycogen, phosphoglycereids. Lecithin, histone, RNA, DNA, cholesterol, chitin, rubisco, cellulose, maltose, glucose, starch:
Select the number of correct statements regarding the given diagram-
A. The NADP reductase enzyme is located on the stroma side of the membrane. B. The primary electron acceptor of photo system-II is located towards the outer side of membrane.
C. Energy is used to pump protons across the membrane to create a high concentration of protons within the thylakoid lumen.
D. The pH of stroma is acidic while of lumen of thylakoid is alkaline
E. The chemiosmosis of protons from stroma to lumen leads to synthesis of ATP
Go through the above diagrammatic representation of the mechanism of action for 2 categories of hormones. In which of the following options correct answers for blanks A to I are indicated.
Blood of hypoglycaemic dog A is cross circulated through the pancreas of a test dog B in which pancreatic artery is clamped off so that blood from A only is allowed to flow through the pancreas of B. The blood of B is then tested after 10 minutes. It will be-
Given below is a diagrammatic cross section of a single loop of human cochlea: Which one of the following options correctly represents the names of three different parts?
A)
A = Serum, C = Endolymph, D = Sensory hair cells
doneclear
B)
A = Perilymph, B = Tectorial membrane, C = Endolymph
doneclear
C)
A = Tectorial membrane, C = Perilymph, D = Secretory cells
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D)
A = Endolymph, B = Tectorial membrane, D = Sensory hair cells
The diagram shows the sequence of events occurring as an action potential arrives at a synapse. The numbered arrows represent the movement of substances across the membranes. What are the substances moving across the membranes?
Genotype of male plant is \[{{S}_{2}}\,\,{{S}_{3}}\] while of female plant is \[{{S}_{1}}\,\,{{S}_{2}}\]. Which of the following pollen grain is comptible for the stigma of given female plant-
In a flower, if the megaspore mother cell forms megaspores without undergoing meiosis and if one of the megaspores develops into an embryo sac, its nuclei would be-
The name of the organism (Column-I), with one characteristic (Column-II), and the kingdom (Column-Ill) are correctly matched according to classification system given by Linnaeus-
Column-I Column-II Column-III
A)
Amoeba Lack cell wall Protista
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B)
Neurospora Heterotrophic Fungi
doneclear
C)
Puffballs Non-motile Plantae
doneclear
D)
Methanococcus Found in gut Monera of ruminant animals
How many of the following is commonly present in angiosperm and gymnosperm both Ovule, Pollen grain, Antheridium, Archegonia, Tracheid, Vessels, free gametophyte. Seed, Fruit-
Carefully study the following data regarding species diversity in various communities of a biome. Alphabates are considered as species and also consider them as closely related or distantly releated in alphabetical order. Which community posses highest species diversity
Examination of blood of a person suspected of having anaemia, shows large, immature, nucleated erythrocytes without haemoglobin. Supplementing his diet with which of the following, is likely to alleviate his symptoms?