Question Paper (Section wise)

If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are:-

A projectile is fired from the surface of the earth with a velocity of 5 ms^-1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 ms^-1 at the same angle follows a trajectory while is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ms^-2) is: (given g = 9.8 m/s²)

A particle is moving such that its position coordinate (x, y) are

(2m, 3m) at time t = 0

(6m, 7m) at time t = 2 s and

(13m, 14) at time t = 5 s

Average velocity  from t = 0 to t = 5 s is

A system consists of three masses m₁, m₂ and m₃ connected by a string passing over a pulley P. The mass m1 hangs freely and m₂ and m₃ are on a rough horizontal table (the coefficient of friction = μ). The pulley is frictionless and of negligible mass. The downward acceleration of mass m₁ is (Assume m₁ = m₂ = m₃ = m)

The force ‘F acting on a particle of mass ‘m’ is indicated by the force – time graph shown below. The change in momentum of the particle over the time Interval from zero to 8 s Is:

A balloon with mass ‘m’ is descending down with an acceleration ‘a’ (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration ‘a’?

A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v), The total kinetic energy generated due to explosion is

The oscillation of body on a smooth horizontal surface is represented by the equation,

X = A cos (ωt)

Where

X = displacement at time t

ω = frequency of oscillation

Which one of the following graphs shows correctly the variation ‘a’ with ‘t’?

A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis.  Massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions S^-2 is :-

In Young’s double slit experiment, the slits are 2mm apart and are illuminated by photons of two wavelength λ₁ = 12000 Å and λ₂ = 10000 Å. At what minimum distance from the common central bright fringe on the screen 2m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?

In a common emitter (CE) amplifier having a voltage gain G, transistor used has trans conductance 0.02 mho and current gain 20, the voltage gain will be-

A certain mass of hydrogen is changed to Helium by the process of fusion. The mass defect in fusion reaction is 0.02866 u. The energy liberated per u is : (given 1u = 931 MeV)

In the given (V-T) diagram, what is the relation between pressure P₁ and P₂?

The output (X) of the logic circuit shown in figure will be:

Three blocks with masses m, 2m and 3m are connected by strings, as shown in the figure. After an upward force F is applied on block m, the masses move upward at constant speed v. What is the net force on the block of mass 2m? (g is the acceleration due to gravity)

In a n-type semiconductor, which of the following statement is true:

The half life of radioactive isotope ‘X’ is 20 years. It decays to another element ‘Y’ which is stable. The two elements ‘X’ and ‘Y’ were found to be in the ratio 1:7 in a sample of a given rock. The age of the rock is estimated to be:

The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv’ respectively. If  and R is the universal gas constant, then Cv is equal to:

The damping force on an oscillator is directly proportional to the velocity. The unit of the constant of proportionality are:-

The motion of a particle along a straight line is described by equation x = 8 + 12t – t³ where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is:-

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:-

A particle has initial velocity  and acceleration . The magnitude of velocity after 10 second will be:

A car of mass 1000 kg negotiates a banked curve of radius 90m on a frictionless road. If the banking angle is 45°, the speed of the car is:

A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms^-1. It collides with a horizontal spring of force constant 200 Nm-I. The maximum compression produced in the spring will be:

The potential energy of a particle in a force field is:  where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particles is:

Two spheres A and B of masses m₁ and m₂ respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity v/2 in a direction perpendicular to the original direction. The mass A moves after collision in the direction.

Two persons of masses 55 kg and 665 kg respectively, are at the opposite ends of a boat. The length of the boat is 3.0 m and weight 100 kg. The 55 kg man walks up to the 65 kg man and sits with him. If the boat is in still water the centre of mass of the system shifts by:

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe if the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

The figure shown a logic circuit two inputs A and B and the output C. The voltage wave forms across circuit gate is:

In a CE transistor amplifier, the audio signal voltage across the collector resistance of 2kΩ is 2V. If the base resistance is 1kΩ and the current amplification of the transistor is 100, the input signal voltage is:-

C and Si both have same lattice structure, having 4 bonding electrons in each. However, C is insulator where as Si is intrinsic semiconductor. This is because:

Transfer characteristics (output voltage (V₀) vs Input voltage (V_i) for a base biased transistor in CE configuration is as shown in the figure. For using transistor as a switch, it is used.

A magnetic needle suspended parallel to a magnetic field requires  of work to turn it through 60°. The torque needed to maintain the needle in this position will be:

The transition from the state n = 3 to n = 1 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from:

The power dissipated in the circuit shown in the figure is 30 watts. The value of R is-

Which one of the following plots represents the variation of gravitational field on a particle with distance due to a thin spherical shell of radius R? (r is measured from the center of the spherical shell)

The potential energy of a system increases if work is doneyu

A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is-

A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s², the range of the missile is-

Force F on a particle moving in a straight line varies with distance d as shown in the figure. The work done on the particle during its displacement of 12 m is-

A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled. then the outward electric flux will

Four electric charges +q, +q, -q and –q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges +q and +q, is-

A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A (m²) the energy (joules) stored in the condenser is-

If power dissipated in the 9Ω resistor in the circuit shown is 36 Watt, the potential difference across the 2Ω resistor is-

A current of 2A flows through a 2Ω resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9Ω resistor. The internal resistance of the battery is

What is the maximum number of orbitals that can be identified with the following quantum numbers?

n = 3, 𝓁 = 1, m_𝓁 = 0

Calculate the energy in joule corresponding to light of wavelength 45 nm: (planck's constant h = 6.63 × 10^–34 Js; speed of light c = 3 × 10⁸ ms^–1)

Equal masses of H₂, O₂ and methane have been taken in a container of volume V at temperature 27°C in identical conditions. The ratio of the volumes of gases H₂: O₂: methane would be:

If a is the length of the side of a cube, the distance between the body centered atom and one corner atom in the cube will be:

Which property of colloids is not dependent on the charge on colloidal particles?

Which of the following salts will give highest pH in water?

Which of the following 0.10m aquous solutions, which one will exhibit the largest freezing point depression?

When 22.4 litres of H2 (g) is mixed with 11.2 litres of Cl₂ (g), each at S.T. P., the moles of HCl (g) formed is equal to:

When 0.1 mol MnO₄^2– is oxidised the quantity of electricity required to completely oxidise MnO₄^2– to MnO₄^– is: –

The value of Planck’s constant is 6.63 × 10^-34 Js. The speed of light is 3 × 10¹⁷ nm s^-1. Which value is closets to the wavelength in nanometer of a quantum of light with frequency of 6 × 10¹⁵ s^-1?

The radical,

 is a aromatic

Because it has:

Which of the following is electron-deficient?

Which of the following statements about the interstitial compounds is incorrect?

How many grams of concentrated nitric acid solution should be used to prepare 250 mL of 2.0 M HNO₃?

Which of the following lanthanoid ions is diamagnetic?

(At. No., Ce = 58, Sm = 62, Vb = 70)

Which one of the following molecules contains no π bond?

Based on equation E = − 2.178 × 10^-18 certain conclusions are written. Which of them is not correct?

In the reaction

A is

In a zero-order reaction for every 10° rise of temperature, the rate is doubled. If the temperature is increased from 10°C to 100°C, the rate of the reaction will become:

Which one of the following pairs is isostructural (i.e. having the same shape and hybridization)?

In which of the following reactions, standard reaction entropy charge (∆S°) is positive and standard Gibb’s energy charge (∆G°) decreases sharply with increasing temperature?

In a reaction A + B → Product, rate is doubled when the concentration of B is doubled and rate increased by a factor of 8 when the concentration of both the reactants (A and B) are doubled, rate law for the reaction can be written as:

Limiting molar conductivity of NH₄OH   is equal to :

Which of the following species contains three bond pairs and one lone pair around the central atom?

Buffer solutions have constant acidity and alkalinity because:

In Freundlich Adsorption isotherm, the value of 1/n is:

pH of a saturated solution of Ba (OH₂) is 12. The value of solubility product (K_sp) of Ba (OH)₂ is:

Predict the products in the given reaction:

Which of the following acids does not exhibit optical isomerism?

CH₃ CHO and C₆H₅CHO can be distinguished chemically by:

Which of the following statements is false?

Acetone is treated with excess of ethanol is the presence of hydrochloric acid. The product obtained is:

The Gibbs’ energy for the decomposition of Al₂O₃ at 500° C is as follows:

∆r G = + 960 kJ mol^-1

The potential difference needed for the electrolytic reduction of aluminium oxide

(Al₂O₃) at 500°C is at least:

Which of the following compounds can be used as antifreeze in automobile radiators?

A certain gas takes three times as long to effuse out as helium. Its molecular mass will be:

Vapour pressure of chloroform (CHCl₃) and dichloromethane (CH₂Cl₂) at 25°C are 200 mmHg and 415 mmHg respectively. Vapour pressure of the solution obtained by mixing 25.5 g of CHCl₃ and 40g of CH₂Cl₂ at the same temperature will be:

(Molecular mass of CH₂Cl₂ = 85 u)

The van’t Hoff factor, if a compound which undergoes dissociation in one solvent and association in other solvent is respectively-

Standard electrode potential for Sn⁴⁺/Sn²⁺ couple is +0.15V and that for the Cr³⁺/Cr couple is -0.74 V. These two couples in their standard state are connected to make a cell. The potential will be

A gaseous mixture was prepared by taking equal mole of CO and N₂. If the total pressure of the mixture was found 1 atmosphere, the partial pressure of the nitrogen (N₂) in the mixture is

If the E⁰_cell for a given reaction has a negative value, then which of the following gives the correct relationship for the values of ∆G° and K_eq?

The freezing point depression constant for water is -1.86 °Cm^-1. If 5.00g Na₂SO₄ is dissolved in 45.0 g H₂O, the freezing point is changed by -3.82°C. Calculate the van’t Hoff factor Na₂SO₄.

The energies E₁ and E₂ of two radiation are 25 eV and 50 eV respectively. The relation between their wavelengths i.e. λ₁ and λ₂ will be-

Standard electrode potential o three metals X, Y, and Z are -1.2 V, + 0.5 V and -3.0 V Respectively. The reducing power of these metals will be

Which one of the following statements for the order of a reaction is incorrect?

Enthalpy change for the reaction, 4H (g) → 2H₂(g) is

-869.6 kJ. The dissociation energy of H –H bond is-

Five kingdom system of classification suggested by R.H. Whittaker is not based on:

The main function of mammalian corpus luteum is to produce:

In which one of the following processes CO₂ is not released?

Choose the correctly matched pair:

Which of the following shows coiled RNA strand and capsomeres?

Just as a person moving from Delhi to Shimla to escape the heat for the duration of hot summer, thousands of migratory birds from Siberia and other extremely cold northern regions move to:

You are given a fairly old piece of dicot stem and a dicot root. Which of the following anatomical structures will you use to distinguish between the two?

In ‘S’ phase of the cell cycle:

A species facing extremely high risk of extinction in the immediate future is called:

Fruit colour in squash is an example of:

Identify the hormone with its correct matching of source and function.

An example of edible underground stem is

Which of the following causes an increase in sodium reabsorption in the distal convoluted tubule?

Which structures perform the function of mitochondria in bacteria?

Select the option which is not correct with respect to enzyme action:

Which is the particular type of drug that is obtained from the plant whose one flowering branch is shown below?

Fructose is absorbed into the blood through mucosa cells of intestine by the process called:

The solid linear cytoskeletal elements having a diameter of 6 nm and made up of a single type of monomer are known as

Person with blood group AB is considered as universal recipient because he has:

Select the wrong statement:

Which one of the following is not a correct statement?

Isogamous condition with non-flagellated gametes is found in

Besides paddy fields, cyanobacteria are also found inside vegetative part of

Megasporangium is equivalent to

Read the following statements (A-E) and answer the question which follows them.

1. In liverworts, mosses, and ferns gametophytes are free-living.
2. Gymnosperms and some ferns are heterosporous.
3. Sexual reproduction in Fucus, Volvox and Albugo is oogamous.
4. The sporophyte in liverworts is more elaborate than that in mosses.
5. Both Pinus and Marchantia are dioecious.

How many of the above statements are correct?

Among bitter gourd, mustard, brinjal, pumpkin, china rose, lupin, cucumber, sunn hemp, gram, guava, bean, chilli, plum, Petunia, tomato, rose, Withania, potato, onion, aloe, and tulip how many plants have hypogynous flower?

Interfascicular cambium develops from the cells of

In China rose the flowers are

Lenticels are involved in

Age of a tree can be estimated by

Seed coat is not thin, membranous in

Transition state structure of the substrate formed during an enzymatic reaction is

A phosphoglyceride is always made up of

Pigment-containing membranous extensions in some cyanobacteria are

A major site for synthesis of lipids is

The complex formed by a pair of synapsed homologous chromosomes is called

Global warming can be controlled by

The Air Prevention and Control of Pollution Act came into force in

Cycas and Adiantum resemble each other in having:

Gymnosperms are also called soft wood spermatophytes because they lack:

Maximum nutritional diversity is found in the group:

Which one of the following is common to multicellular fungi, filamentous algae and protonema of mosses?

Which statements is wrong for viruses?

Which one of the following is a correct statement?

Nuclear membrane is absent in:

During gamete formation, the enzyme recombinase participates during:

Which one of the following does not differ in E.coli and Chlamydomonas?

PCR and Restriction Fragment Length Polymorphism are the methods for:-

Removal of RNA polymerase III from nucleoplasm will affect the synthesis of:

Evolution of different species in a given area starting from a point and spreading to other geographical area is known as:

Removal of introns and joining of exons in a defined order during transcription is called:

Which one of the following is not a part of the transcription unit in DNA?

An organic substance that can withstand environmental extreme and cannot be degraded by any enzymes is:

Best defined function of manganese in green plants is:

Common cold differs from pneumonia in that:

Identify the possible link “A” in the following food chain:

Plant → Insect → Frog → “A” → Eagle

Which one of the following is an example of carrying out biological control of pests/diseases using microbes?

Widal Test is carried out to test:

Cirrhosis of liver is caused by the chronic intake of:

Which one of the following in not a property of cancerous cells whereas the remaining three are?

Motile zygote of Plasmodium occurs in:

In which one of the following options the two examples are correctly matched with their particular type of immunity?

The figure below is the diagrammatic representation of the E.coli vector pBR 322. Which one of the given options correctly identifies its certain component(s)?

Measuring Biochemical Oxygen Demand (BOD) is a method used for:

The most abundant prokaryotes helpful to humans in making curd from milk and in production of antibiotics are the ones categorised as:

People who have migrated from planes to an area adjoining Rohtang pass about six months back:

Monascus purpureus is a yeast used commercially in the production of:

In the five-kingdom classification, Chlamydomonas and Chlorella have been included in

Identify the likely organisms (a), (b) (c) and (d) in the food web shown below

A test cross is carried out to

Read the following five statements (A – D) and answer as asked next to them.

1. In Equisetum the female gametophyte is retained on the parent sporophyte.
2. In Ginkgo male gametophyte is not independent.
3. The sporophyte in Riccia is more developed than that in Polytrichum.
4. Sexual reproduction in Volvox is isogamous.
5. The spores of slime molds lack cell walls.

How many of the above statements are correct?

Which one of the following human organs is often called the “graveyard” of RBCs?

Which one of the following elements in plants is not remobilised?

A drupe develops in

Ground tissue includes

In land plants the guard cells differ from other epidermal cells in having

The ovary is half inferior in flowers of

The cork cambium, cork and secondary cortex are collectively called

Which one of the following is wrongly matched?

Flowers are zygomorphic in

CAM helps the plants in

Of the total incident solar radiation the proportion of PAR is

A prokaryotic autotrophic nitrogen fixing symbiont found in