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A rigid container with thermally insulated walls contains a coil of resistance 100 Ω, carrying current 1 A. Change in internal energy after 5 min will be
Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then distance covered by the smaller body just before collision is
Two particles of mass m each are tied at the ends of a light string of length 2a. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance a from the centre P (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force F. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2x, is
A 3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be
The pressure of a medium is changed from 1.01 × 105 Pa to 1.165 × 105 Pa and change in volume is 10% keeping temperature constant. The bulk modulus of the medium is
An inductor of inductance 2.0 mH is connected across a charged capacitor of capacitance 5.0 μF and the resulting L-C circuit is set oscillating at its natural frequency. Let Q denote the instantaneous charge on the capacitor and I the current in the circuit. It is found that the maximum value of Q is 200 μC. When Q = 100 μC, what is the value of
A charge +q is fixed at each of the points x = x0, x = 3x0, x = 5x0 ........∞ on the x−axis and a charge −q is fixed at each of the points x = 2x0, x = 4x0, x = 6x0 .........,∞. Here, x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to
Then the potential at the origin due to the above system of charges is
The dimensional formula for magnetic flux is
Two particles A and B of masses mA and mB respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are vA and vB respectively and the trajectories are as shown in the figure.
Then
Two particles A and B initially at rest, move towards each other, under the mutual force of attraction. At an instance when the speed of A is v and the speed of B is 2v, the speed of the centre of mass(CM) is
A block of mass 5 kg is moving in x-direction with a constant speed 20 m/s. Now it is subjected to a retarding force Fr = – 0.2 x J/m during its travel from x = 10 m to x = 20 m. Its final velocity will be nearly
Two springs of spring constants 500 N m–1 and 500 N m–1 are stretched with force 100 N and 200 N respectively. They have potential energy in the ratio of
A bus of mass 5 metric tonne is pulled at a speed of 18 km/h on a smooth inclination 1 in 10. Power of the engine is
A ball A moving with certain velocity collides head on with another body B of the same mass at rest. If the coefficient of restitution is 3/4. The ratio of velocity A and B after collision is
A force of 1 N acts on a 1 kg mass for 1 second which is initially at rest. In another case 1 N force acts on 1 kg mass which is initially at rest and moves it through 1 m. The ratio of kinetic energy in the two cases is
A ball of mass m collides with a wall with speed v and rebounds on the same line with the same speed. If mass of the wall is taken infinite at rest, then work done by the ball on the wall is
A freely falling body takes 4s to reach the ground. One second after release, the percentage of its potential energy, that is still retained is
Two masses of 1 kg each move towards each other with speed 4 m/s and 2 m/s collide and stick together. The final kinetic energy of the system will be
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: If there were no gravitational force, the path of the projected body always be a straight line.
Reason: Gravitational force makes the path of projected body always parabolic.
Two balls are projected simultaneously with the same speed from the top of a tower, one vertically upwards and the other vertically downwards. They reach the ground in 9 s and 4 s, respectively. What is the height of the tower? (g = 10 m/s2)
Two boys are standing at the ends A and B of a ground, where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously along a straight line with a velocity v and catches the other boy in time t. Calculate the value of t.
The displacement y (in metres) of a body varies with time t (in seconds) as
How long does the body take to come to rest?
A bomber plane is moving horizontally with a speed of 500 m/s and a bomb released from it strikes the ground in 10 seconds. The angle with the horizontal at which the bomb strikes the ground is (g = 10 m/s2)
It is found that (range)2 is 48 times the (maximum height)2 for a trajectory. Find the angle of projection.
The angle between two vectors A and B is θ. Vector R is the resultant of the two vectors. If R makes an angle θ/2 with A, then
For the angles of projection of a projectile as (45° - θ) and (45° + θ), the horizontal ranges described by the projectile are in the ratio
A toy of mass M1 is pulled along a horizontal frictionless surface by rope of mass M2. A force F is applied to the free end of the rope. The force exerted on the toy is:
A body constrained to move in y-direction is subjected to a force N. The work done by this force in moving the body through a distance of 10 m along the y-axis is
Water is falling on the blades of a turbine at the rate of 6000 kg/min. The height of the fall is 100 m. The power given to the turbine is (Take g = 10 m/s2)
A small ball is pushed from a height 'h' along a smooth hemispherical bowl. With what speed should the ball be pushed, so that it just reaches the top of the opposite end of the bowl? (The height of the top of the bowl is R.)
A ball P of mass 2 kg undergoes an elastic collision with another ball Q at rest. After the collision, ball P continues to move in its original direction with a speed one-fourth of its original speed. What is the mass of ball Q?
If the values of each of length, mass and time are doubled, then the work done becomes
The average energy density of magnetic field of an EM wave is given by
A rectangular glass slab ABCD of refractive index n1 is immersed in water of refractive index n2 (n1 > n2). A ray of light is incident at the face AB of the slab as shown in the figure. The maximum value of the angle of incidence such that the ray comes out only from the other side CD is given by
An X-ray tube is operated at a constant potential difference and it is required to get X-ray of wave length not less than 0.2 nanometre. Then, the potential difference in kV is (h = 6.63 × 10-34Js, e = 1.6 × 10-19 C, c = 3 × 108 m/s)
A nucleus has mass represented by M(A, Z). If Mp and Mn denote the masses of proton and neutron, respectively, and B.E. the binding energy in MeV, then
The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen like ion is
Match the following (Take the relative strength of the strongest fundamental forces in nature as one)
The correct match is
Assertion: If a body of mass m is projected upwards with a speed V making an angle ? with the vertical, than the change in the momentum of the body along X–axis is zero.
Reason: Mass of the body remains constant along X–axis
A body of mass m is dropped from a certain height. It has a velocity v when it is at a height h above the ground. Which of the following will remain constant during the free fall?
A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up is
A box is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to
An excited hydrogen atom emits a photon of wavelength λ in returning to the ground state. If R is the Rydberg constant, then the quantum number n of the excited state is
The most stable ion is
RNA is different from DNA because RNA contains
The first and second dissociation constants of an acid H2A are 1.0 × 10−5 and 5 × 10−10, respectively.
What is the overall dissociation constant of the acid?
Which one will have maximum numbers of water molecules?
An organic compound (C3H9N) (A), when treated with nitrous acid, gave an alcohol and N2 gas was evolved. (A) on warming with CHCl3 and caustic potash gave (C) which on reduction gave is opropylmethylamine. Predict the structure of (A).
The number of anti-bonding electron pairs in O22− molecular ion on the basis of molecular orbital theory is (Atomic number of Oxygen is 8)
What is the correct order of solubility of the sulphates of alkaline earth metals in water?
Which among the following is a polymer of amino acid?
The reagent used in Gattermann Koch aldehyde synthesis is
(+) and (−) forms of optically active compounds are different in
Number of moles in 11.2 L of CO2 at NTP is -
The half-life period for catalytic decomposition of AB3 at 50 mm of Hg is found to be 4 hrs and at 100 mm of Hg it is 2 hrs. The order of the reaction is:
f the quantum numbers of the electron having the highest energy in an atom are n = 3, l = 1, ml = +1, s = +1 / 2, the element belongs to
Given below are two statements:
Statement I: Aspirin and Paracetamol belong to the class of narcotic analgesics.
Statement II: Morphine and Heroin are non-narcotic analgesics. In the light of the above statements, choose the correct answer from the options given below.
Match List-I with List-II.
In the following questions a statement of assertion (A) followed by a statement of Reason (R) is given. Choose the correct option out of the choice given below.
Assertion (A): combustion of 16 g of methane gives 18g of water.
Reason (R): In the combustion of methane, water is one of the products.
The species in which central atom is not sp3 hybridised is
Which among the following has longest bond length?
Which among the following is a polar molecule?
Which of the following pairs of species are isostructural?
Consider the following statements
A. Bond angle of ammonia is greater than bond angle of H2O.
B. In BeCl2 central atom is sp hybridised
C. In CCl4 maximum four atoms are present in a plane.
The correct statement(s) is/are
In which of the given molecules only π bonds are present?
Which among the following is not a paramagnetic species?
During change of N2 to N2 ion, the electron adds to which of the following molecular orbitals?
The species which does not exist is
Incorrect statement among the following is
Density of O2 gas at 127°C and 0.41 atm. pressure is (R = 0.082 L atm K–1 mol–1)
The gas which will deviate maximum from ideal behaviour is
A closed cylinder contains 320 g of O2 gas and 20 g of He gas. If partial pressure of O2 in the cylinder is 5 atm then the total pressure of the gaseous mixture will be
The average kinetic energy of oxygen gas per molecule at 47°C will be
A. At very low temperature, intermolecular forces between gaseous molecules become significant.
B. For ideal gas, Z = 1 at all temperature.
C. At high pressure all gases have Z < 1
The correct statements are
Consider the following graph for a fixed mass of gas
The correct relation between T1, T2 and T3 is
Consider the following statements for kinetic molecular theory of gases
A. Particles of a gas move in all possible directions in straight lines.
B. At any particular time, different particles in the gas have different kinetic energies.
C. Collisions of gas molecules are perfectly inelastic in nature.
If a direct current deposits 20.5 g of potassium (atomic weight 39 u) in 1 min, then the amount (in grams) of aluminium (atomic weight 27 u) deposited by the same current during the same time interval would be
Which of the following mixtures is not a minimum-boiling azeotrope?
Choose the incorrect statements.
1. Zeolites are aluminosilicates having three-dimensional network.
2. Hydrolysis of sucrose in the presence of dilute hydrochloric acid is an example of heterogeneous catalysis.
3. Rate of physisorption decreases with decrease in temperature.
4. More easily liquefiable gases are adsorbed readily.
Which of the following statements is/are incorrect?
(P) Medroxyprogesterone is a progestin hormone used to prevent pregnancy.
(Q) Valium and alprazolam are used as tranquilisers.
(R) Reserpine is used for controlling high blood pressure and as antihistamine drug.
Name the type of the structure of silicate in which one oxygen atom of [SiO4]4- is shared.
In the context of the Hall–Heroult process for the extraction of AI, which of the following statements is false?
Which of the following statements is correct regarding a solution of two components A and B exhibiting positive deviation from ideal behavior?
Statement I: Acid strength increases in the order given as
HF << HCl << HBr << HI.
Statement II: As the size of the elements F, Cl, Br, I increases down the group, the bond strength of HF, HCl, HBr and HI decreases and so the acid strength increases. In the light of the above statements, choose the correct answer from the options given below.
Assertion (A): Significant figures for 0.200 is 3 where as for 200 it is 1.
Reason (R): Zero at the end or right of a number are significant provided they
Acetaldehyde and acetylene can be distinguished by :
Arrange the following alcohols, hydrocarbon and ether in order of their increasing boiling points Pentan –1 – ol, n – butane, pentanal, ethoxyethane.
Which of the following is correct about a plant which has a good level of abscisic acid?
Which of the following structures give rise to the female gametophyte in angiosperms?
Which of the following characteristics of fungi differentiates them from algae?
The middle lamella of a cell wall is rich in
Which of the following membranes has the highest amount of proteins?
If one cell cycle takes 100 minutes for completion, then time spent in M-phase is
Pachytene phase of meiosis is characterised by which of the following?
Match the following columns and select the correct option.
Which of the following represents the correct sequence of flow of electrons in light reaction of photosynthesis?
The curling of Rhododendron leaves is an example of
Which of the following effects of auxins on plants is the basis for commercial application?
Who gave the term ‘Nuclein’ to the acidic substance present in nucleus?
Number of base pairs in the DNA of Escherichia coli is
A linear dsDNA has 1.8 × 104 phosphodiester bonds. Number of bases in this DNA will be
Pyrimidines present in both RNA and DNA is/are
In the field of molecular genetics, what was the contribution of Watson and Crick?
Which of the following is 9-membered double-ring structure?
Regarding reverse central dogma of molecular biology that occurs in some viruses, the flow of information is from
Histones are
The regions in chromatin which are lightly stained
Which of the following strains of Pneumococcus when injected to mice will cause death of that mice?
Through the experiments conducted by A. Hershey and M. Chase, it was provided that
In the experiment conducted by Hershey and Chase, the supernatant has
In the following question, the Assertions (A) and Reason (R) have been put forward. Read both the statements and choose the correct option from the following.
Assertion: Sunflower and Rose are bisexual flowers.
Reason: Flowers in which, the thalamus grows around the ovary fusing with its wall are called epigynous flowers.
Statement I: The primary CO2 acceptor in C4 plants is phosphoenolpyruvate and is found in the mesophyll cells
Statement II: Mesophyll cells in C4 plants lack RuBisCo enzyme.
In the light of the above statements, choose the correct answer from the options given below:
Which of the following criteria should not be true for the molecules that act as genetic material?
Which of the following statements is correct with respect to taxonomic aids?
Binomial nomenclature means:
Who proposed binomial nomenclature?
The sequence of characteristics of a taxonomical study is:
Which taxonomic category is the poales of wheat?
According to the binomial nomenclature system, the snow leopard's full name is
The biological concept of species is mainly based on
The study of taxonomy begins with:
'Systematics' refers to the
Ti plasmid is often used for making transgenic plants. This plasmid is found in
RNA is a single strand or chain which is formed by end to end polymerisation of a number of ribonucleotides or ribotides. Which of the following RNAs is an adapter molecule which is meant for transferring amino acids to ribosomes for synthesis of polypeptides?
While considering the grassland ecosystem for pyramid of numbers, match the different trophic level components with the number of individuals and select the correct option.
Which of the following are examples of water-pollinated plants?
A. Vallisneria
B. Hydrilla
C. Water hyacinth
D. Water lily
Which of the following is expected when a test tube of sterile water containing a typical animal cell and a typical plant cell is incubated at 37oC for 24 hours?
Assertion: Pea has vexillary type of aestivation.
Reason: In this type of aestivation, the posterior petal is the largest and covers almost the two lateral petals, and the latter in their turn, nearly overlap the two anterior or smallest petals.
Which one of the following statements for pyramid of energy is incorrect, whereas the remaining three are correct?
The nitrogenous bases in DNA are
Protein synthesis in an animal cell occurs
Which of the following is the highest in the hierarchy of taxonomic category?
Where are the genital openings of an earthworm present?
Hürthle cell is associated with
What is Test Tube Baby?
Which of the following events is affected by the presence and distribution of yolk in the egg?
Which of these disorders is the odd one?
The genetic constitution of 44 autosomes and XO sex chromosomes in a human female indicates
RNA retroviruses have a special enzyme that
What type of freely movable joint is present in between atlas and axis?
Carcinoma refers to
The genetic defect of adenosine deaminase (ADA) deficiency may be cured permanently by
Proinsulin contains
Which of the following interferes with the transport of the neuro-transmitter dopamine and its excess dosage can cause hallucinations?
Read the following statements and choose the correct option
A. Agrobacterium tumefaciens, a pathogen of several dicot plants, is able to deliver a piece of DNA known as ‘T-DNA’ into plant host cells, transforming them.
B. Non disarmed retroviruses are used to deliver desirable genes into animal cells.
Which of the following options shows the correct combination of aquatic mammals?
Which of the following has an organ level of structural organisation?
Which of the following animals has bilateral symmetry?
In sea anemone, the symmetry is
In which of the following groups does a larval stage occur in the life history of all members of the group?
Male cockroach can be identified from the female by the presence of
Where do you find hepatic caecae in Periplaneta americana?
What external changes are visible after the last moult of a cockroach nymph?
The terga, sterna and pleura of cockroach body are joined by
Which of the following features is not present in Periplaneta americana?
In male cockroaches, sperms are stored in which part of the reproductive system?
Which of the following is not a part of reproductive system of female cockroach?
Blood corpuscles are formed in the:
Stratified epithelium is found in
Which of these statements is true about the respiratory system of cockroach?
Ootheca is a dark reddish to blackish brown capsule which stores:
Which of the following layers forms the diffusion membrane in the alveoli?
__________ is situated adjacent to the rhythm centre which is highly sensitive to CO2 and hydrogen ions.
A centre present in the ________ of the brain called pneumotaxic centre can moderate the functions of the respiratory rhythm centre.
Which of the following statements is correct about the alveoli of the lungs?
Select the option which gives the correct function and/or characteristic of the part of the human respiratory system.
In sponges, the exchange of gases occurs through:
Which of the following is not a correct match?
Which one of the following conditions correctly describes the manner of determining the sex in the given example?
Which one of the following aspects is not a component of functional unit of ecosystem?
Adenosine, guanosine, thymidine, uridine, cytidine are all _______ but adenylic acid, guanylic acid, uridylic acid, cytidylic acid are ________.
Assertion: Nucleic acids exhibit secondary structure.
Reason: It is the linear sequence of amino acids in a polypeptide chain.
Oviducts are lined by
Which of the following areas in India is a hotspot of biodiversity?
Select the correct sequence of steps in DNA finger printing involving southern blot hybridisation using VNTR.
i. Hybridisation using labelled VNTR probe
ii. Isolation of DNA
iii. Transferring (blotting) of DNA fragments to synthetic membranes, such as nitrocellulose or nylon
iv. Detection of hybridised DNA fragments by autoradiograph
v. Separation of DNA fragments by electrophoresis
vi. Digestion of DNA by restriction endonucleases
Which of the following is the most frequently used techniques in DNA fingerprinting?
Which of the following structures is/are found to be damaged in emphysema?