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A boy is playing with a tire of radius 0.5m. He accelerates it from 5rpm to 25 rpm in 15 seconds. The linear acceleration of tire is
A particle is projected upward from the surface of earth (radius = R) with a speed equal to the orbital speed of a satellite near the earth’s surface. The height to which it would rise is
If G is the universal gravitational constant and ρ is the uniform density of spherical planet.
Then shortest possible period of the planet can be
The Mechanical advantage of a lever is given by-
For a system to be in equilibrium, the net torques acting on it must balance. This is true only if the torque are taken about
If a man increases his speed by 2 m/sec, his K.E. is doubled. The original speed of the man is-
A force F = Newton (where x is in metres) acts on a particle which moves from a position (2m, 3m) to (3m, 0m). Then the work done is
At what altitude will the acceleration due to gravity be 25% of that at the earth’s surface (given radius of earth is R)?
Four similar particles of mass m are orbiting in a circle of radius r is the same direction and same speed because of their mutual gravitational attractive force as shown in the figure. Speed of a particle is given by
Which of the following is not a unit of angular displacement?
A planet of mass M is revolving around sun in an elliptical orbit. If dA is the area swept in a time dt, angular momentum can be expressed as
The angular position of a particle (in radians), along a circle of radius 0.8 m is given by the function in time (seconds) by
The linear velocity of the particle
Determine the force that must be applied to end of the class 1 lever shown below to lift the 500 lb load.
Two concentric shells of uniform density of mass M1 and M2 are situated as shown in the figure. The forces experienced by a particle of mass m when placed at positions A, B and C respectively are (given OA = p, OB = q and OC = r)
A pump on the ground floor of a building can pump up water to fill a tank of volume 30 m3 in 15 min. If the tank is 40 m above the ground, and the efficiency of the pump is 30%, how much electric power is consumed by the pump?
There are two blocks of mass 3 kg and 5 kg hanging from the ends of a rod of negligible mass. The rod is marked in eight equal parts as shown. At which of the points indicated should a string be attached if a rod is to remain horizontal when suspended from the string?
The work done in shifting a particle of mass m from centre of earth to the surface of earth is (0m at both places are fixed)
In an equilateral triangle of length 6 cm , three masses m1= 40g , m2= 60g and m3= 60g are located at the vertices. The moment of inertia of the system about an axis along the altitude of the triangle passing through m1 is
Four particles, each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction. (Take that gravitational force between two point masses m1 and m2 separated by is The speed of each particle is
A straight rod of length L extends from x = a to x = L + a. Find the gravitational force exerted by it on a point mass m at x = 0 if the linear density of rod μ = A+ Bx2
A trolley of mass 200 kg moves with a uniform speed of 36 km/h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of 4 ms−1 relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. How much has the trolley moved from the time the child begins to run?
The potential energy of a long spring when stretched by 2 cm is U. If the spring is stretched by 8 cm, potential energy stored in it will be :
A constant torque of 100 N m turns a wheel of moment of inertia 300 kg m2 about an axis passing through its centre. Starting from rest, its angular velocity after 3 s is :-
The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is :-
An energy of 484 J is spent in increasing the speed of a flywheel from 60 rpm to 360 rpm. The moment of inertia of the flywheel is :
The angular acceleration of a body, moving along the circumference of a circle, is :
An electric lift with a maximum load of 2000 kg (lift + passengers) is moving up with a constant speed of 1.5 ms−1. The frictional force opposing the motion is 3000 N. The minimum power delivered by the motor to the lift in watts is : (g = 10 ms−2)
The escape velocity of a body on the earth surface is 11.2 km/s. If the same body is projected upward with velocity 22.4 km/s, the velocity of this body at infinite distance from the centre of the earth will be:
If R is the radius of the earth and g is the acceleration due to gravity on the earth surface.
Then the mean density of the earth will be :
Two bodies of mass m and 9m are placed at a distance R. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be (G = gravitational constant) :
A satellite is orbiting just above the surface of the earth with period T. If D is the density of the earth and G is the universal constant of gravitation, the quantity
represents :
A bullet of mass M hits a block of mass M'. The transfer of energy is maximum, when
A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is
A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth?
A 2 m rod of mass 1 kg rotates at an angular speed of 15 rad/s about its ends. Then K.E. is
A disc of radius b and mass m rolls down an inclined plane of vertical height h. the translational speed when it reaches the bottom of the plane will be
Three rings, each of mass P and radius Q are arranged as shown in the figure. The moment of inertia of the arrangement about YY' axis will be
The kinetic energy T of a particle of mass m moving in a circle of radius r varies with the distance traced, S as T = KS2. The tangential acceleration of the particle is
Consider the following statements
Assertion (A): The moment of inertia of a rigid body reduces to its minimum value as compared to any other parallel axis when the axis of rotation passes through its centre of mass.
Reason (R): The weight of a rigid body always acts through its centre of mass in uniform gravitational field. Of these statements :
Water falls from a height of 60m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of the input energy. How much power is generated by the turbine? (g = 10 m/s2)
A force F = 20 + 10y acts on a particle in y-direction where F is in newton and y in meter. Work done by this force to move the particle from y = 0 to y = 1 m is :
A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to
A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively -
A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic enegy of the particle becomes equal to 8 × 10−4 J by the end of the second revoluation after the beginning of the motion ?
Consider the following statements, "According the Werner's theory. :
(1) Ligands are connected to the metal ions by covalent bonds.
(2) Secondary valencies have directional properties.
(3) Secondary valencies are non-ionisable.
(4) Secondary valencies are satisfied by either neutral or negative legands.
Of these statements.
Which of the following is major product of following reaction?
Only One Option Correct Type
Direction (Q. Nos. 1-8) This section contains 8 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE is correct.
Which of the SN2 reaction is fastest?
A hydrocarbon C5H10 does not react with chlorine in dark but gives a single monochloro compound C5H9Cl in bright sunlight. The hydrocarbon is
Which of the following is the major product of following reaction?
CH3CH = CH2 + HBr in the presence of peroxide gives:
In which of the following complexes the nickel metal is in highest oxidation state.
The reaction which involves dichlorocarbene as an electrophile is
An organic compound X is oxidised by using acidified K2Cr2O7. The product obtained reacts with Phenyl hydrazine but does not answer silver mirror test.
The possible structure of X is
What is the correct increasing order of reactivity of the followings in SN2 reaction ?
I. CH2 = CHCH2 — Br
II. CH2 = CH— I
III. CH3CH2CH2 — I
IV. CH3OCH2CH2 — I
What is the order of reactivity of following halogen acids on alcohols?
HI, HBr, HCl
This reaction is known as:
Trioxalato aluminate (III) and tetrafluorido-borate (III) ions are respectively :
A complex of platinum, ammonia and chloride produces four ions per molecule in the solution. The structure consistent with the observation is :
How many alcohols with molecular formula C4H10O are chiral in nature?
In which complex is the transition metal in zero oxidation state:
Type of isomerism exhibited by [Cr(NCS)(NH3)5] [ZnCl4] :
The complexes given below show:
In the following question, two statements are given. One is assertion and the other is reason. Examine the statements carefully and mark the correct answer according to the instructions given below.
Assertion: The [Ni(en)3CI2] (en = ethylene diamine) has lower stability than [Ni(NH3)6CI2].
Reason: In [Ni(en)3CI2], the geometry of Ni is trigonal bipyramidal.
The colour imparted by Co(II) compounds to glass is
Which of the following coordination entities should be expected to absorb light of lowest frequency?
The ligands in anti-cancer drug cis-platin are:
Assertion: [Co(NO2)3(NH3)3] does not show optical isomerism.
Reason: It has a plane of symmetry.
[Fe(NO2)3CI3]3- and [Fe(O–NO)3CI3]3- show
For which of the following pairs, magnetic moment is same?
In the following question, two statements are given. One is assertion and the other is reason. Examine the statements carefully and mark the correct answer accordingly.
Assertion: If β4 for [Cu(NH3)4]2+ is 2.1 x 1013, its instability constant is 4.76 x 10–14.
Reason: Overall dissociation equilibrium constant varies inversely with formation constant.
In the following question, two statements are given. One is Assertion and the other is Reason. Examine the statements carefully and mark the correct answer according to the instructions given below.
Assertion: CO and CN are referred to as π acid ligands.
Reason: In CO and CN, vacant π type orbitals are present.
The question consists of two statements: Assertion and Reason. While answering the question, you are required to choose any one of the following four responses.
Assertion: o-Dichlorobenzene is more soluble in organic solvents than the corresponding p-isomer.
Reason: o-Dichlorobenzene is polar, while p-dichlorobenzene is not.
The molecular formula of chloropicrin is
The best method for preparing alkyl chloride is
Ethyl bromide is industrially prepared from
What is the end product of the reaction of propene with N-bromosuccinimide?
Wurtz reaction involves the reduction of alkyl halide with
The production of CH3CH=CHCH2Br on treatment of 1–butene with N–bromosuccinimide is an example of
The following reaction is known as
Consider the following reaction between alkyl halides, RX and alcoholic AgNO3: RX + Ag → R+ + Ag+ X–
Which of the following statements is true about the above reaction?
In this question, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): Carboxylic acids are more acidic than phenols.
Reason (R): Phenols are ortho and para directing.
Assertion (A): Methoxy ethane reacts with HI to give ethanol and iodomethane.
Reason (R): Reaction of ether with HI follows SN2 mechanism.
Assertion (A): (CH3)3C−O−CH3 gives (CH3)3C−I and CH3OH on treatment with HI.
Reason (R): The reaction occurs by SN1 mechanism.
Reagents that convert acetophenone into the following alcohol are
Consider the following statements:
I. CH3OH is prepared from pyroligneous acid by fractional distillation process.
II. When pyroligneous acid is treated with calcium hydroxide, acetic acid is removed in the form of calcium acetate and methanol can be obtained by fractional distillation method.
III. When starch is treated with steam and malt (a source of diastase), ethyl alcohol is obtained.
Which of the above statements is incorrect?
Which of the following statements is correct about cis-cyclopentan-1,2-diol and trans-cyclopentan-1,2-diol?
Arrange the following according to the decreasing order of their boiling points:
You are provided with a mixture of ortho, meta and para-nitrophenols. On steam distillation, the component obtained will be
Propene can be converted into propan-1-ol by oxidation. The reagent/set of reagents that affects this conversion is:
The IUPAC name of (CH3)2C=CHCH2OH is
Bacterial photosynthesis comes from:
Hill reaction requires:
What is the last stage of a plant called?
Energy obtained from light reaction is transferred to dark reaction in form of:
What did Jan Ingenhousz's experiments reveal about the role of sunlight in plant processes?
Which of the following prevents the fall of fruits ?
Which of the following phenomena includes all the changes undergone by a living plant from seed emergence to death?
The substances that have an ability to absorb light at different specific wavelength are:
Krebs cycle is both catabolic and anabolic because it provides
Which of the following is not the characteristics of the cells of the phase of elongation?
Dough kept overnight in warm place becomes soft and spongy due to:
The respiratory ratio of protein is:
The enzyme that interconnects the glycolysis and kreb cycle is:
Photorespiration does NOT occur in:
In cells, ATP is synthesized in:
The organism which depend on the dead and decaying organic matter is:
Glycolysis is the conversion of:
In animal cells, the first stage of glucose break down is:
When and where anaerobic respiration does occurs in man and yeast?
Statement A: Most plants undergo indeterminate growth, growing as long as the plant lives.
Statement B: Indeterminate growth is synonymous to immortality.
The TCA cycle starts with:
Aerobic respiration is common in:
In kreb cycle, isocitric acid is converted into α-keto glutaric acid by:
Electrons from exited chlorophyll molecules of photosystem II are accepted first by:
In plants, the gaseous exchange take place in:
(a) Stomata
(b) Roots
(c) Stems
(d) Lenticels
On excitation, the electrons picked up by an electron acceptor is passed to:
Which one has Kranz anatomy?
The law of limiting factors is given by:
Respiration is:
Calvin cycle is discovered by:
During anaerobic respiration less energy is produced than aerobic respiration because:
Which of the following stages of calvin cycle are in CORRECT order?
Energy is stored in the form of:
In sugarcane, CO2 is fixed in malic acid with the help of enzyme:
Dark fixation of CO2 in CAM plants is called ossification because it produces:
What do the internal factors affecting photosynthesis dependent on?
Light energy is converted into chemical energy in the presence of
Which one of the following pairs is not correctly matched?
Exponential growth is dependent on
Solarisation is the process of
Measurement and the comparison of total growth per unit time is called
A hormone delaying senescence is
‘Foolish seedling’ disease of rice led to the discovery of
The point at which the amount of CO2 fixed in photosynthesis is equal to the CO2 evolved in respiration and photorespiration is called
Who proposed the law of limiting factor?
Which joint occurs between humerus and radioulna?
Which of the following statement is not true?
Skeletal muscle bundles [fascicles] are held together by a common connective tissue layer called:
Which of these disorders affect the neuromuscular junction?
Study of muscles is called :
The renal tubule which is stimulated by ADH hormone is
Glomerular membrane has three layers. Which of the following layers has/have cells which are of peculiar shape and are called podocytes (foot cells)?
a. The endothelium
b. The epithelium
c. The basement membrane
In nephron, the maximum reabsorption takes place in
What can affect the kidney function by its constrictory effects on blood vessels?
When concentrated urine is produced then osmolarity of blood
Diuresis is the condition in which
Which of the following substances is/are secreted by the active transport into the filtrate in the distal convoluted tubule?
a. K+ ions
b. Creatinine
c. Urea d. HCO3- ions
e. Hippuric acid
Which of the following cover(s) the loop of Henle?
Which of the following changes plasma protein, called angiotensinogen to a peptide, called angiotensin II, which works as a hormone?
What is the amount of water excreted daily by humans through urine?
The functions of kidney are controlled by ADH, JGA and ANF. Which of the following is not a function of kidneys?
In which of the following disorders of the excretory system, a person is unable to secrete adequate quantities of hydrogen ions due to which large amounts of sodium bicarbonate are continuously lost into the urine?
Sweat contains all of the following, except:
Maximum reabsorption occurs in which of the following parts of the nephron?
Epithelium found in PCT of nephrons is
Which of the following is/are not the excretory organ(s) in humans?
Which of the following organs excrete(s) vitamins, bile pigments, drugs and cholesterol, and also helps in detoxification of nitrogenous waste?
Ureotelic excretion is found inA. mammalsB. amphibiansC. coelenteratesD. Both
Which of the following statements is/are false?
a. The collecting duct extends from the cortex of the kidney to the inner parts of the medulla.
b. Each human kidney has nearly one million complex tubular structures called Columns of Bertini.
c. The collecting duct can reabsorb large amounts of water to produce a concentrated urine.
How do coelenterates move from one place to another?
Degeneration of muscles due to a genetic disorder occurs in
a. Fatigue is caused due to repeated activation of the muscles leading to the accumulation of lactic acid.
b. Myoglobin is a red coloured oxygen storing pigment in the muscles.
c. Muscles possessing very less quantity of myoglobin appear reddish.
Which of the following statements is/are false about the properties of the visceral muscles?
a. They are located in the inner walls of organs like alimentary canal and reproductive tract.
b. They are primarily involved in transportation of food through the digestive tract.
c. They have striped appearance under the microscope.
Which of the following is the functional unit of contraction in the muscles?
Largest bone in human body is:
Select the correct matching of the type of the joint with the example in human skeletal system.
The functional unit of contractile system in striated muscle is
Name the ion responsible for unmasking of active sites for myosin for cross-bridge activity during muscle contraction.
In between fixed joints, where bones are held firmly,
The joint between atlas and axis is called
Which one of the following statements is correct with respect to kidney function regulation?
The reabsorption of the sodium from glomerular filtrate is regulated by the hormone _____________.
Which of the following sequences is correct regarding regulation of kidney function?
The slow twitch muscle fibres which are rich in myoglobin and have abundant mitochondria are
Which of the following statements is incorrect?
Which of the following sequences is correct?
The number of bones in the human skull or cranium is
Choose the pair of characteristics and example of a synovial joint in humans.
Which of the following determines the myosin head's ATPase activity?
Sliding filament theory can be best explained as: