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 m_A and m_B 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 v_A and v_B 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

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 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, m_l = +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

Consider the following statements

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.

The correct statement(s) is/are

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.

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): 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.

Given below are two statements:

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?

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: 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