Previous Year Questions
224 questions — organised by subject with solutions and explanations.
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In the following structure, the double bonds are marked as I, II, III and IV Geometrical isomerism is not possible at site (s) :[Main 9 April 2017]
Which of the following statements is not true about partition chromatography ?[Main 8 April 2017]
The enthalpy change on freezing of 1 mol of water at 58°C to ice at −58°C is :(Given at 0°C, , [Main 8 April 2017]
Which of the following ions does not liberate hydrogen gas on reaction with dilute acids ?[Main 9 April 2017]
The increasing order of the boiling points for the following compounds is :(I) (II) (III) (IV) [Main 9 April 2017]
Given Based on the above thermochemical equations,the value of at 298 K for the reaction will be :-[Main 2017]
1 gram of a carbonate on treatment with excess HCl produces 0.01186 mole of . the molar mass of in g is :-[Main 2017]
Which of the following molecules is least resonance stabilized ?[Main 2017]
Which of the following species is not paramagnetic :-[Main 2017]
Which of the following compounds will significant amount of meta product during mono-nitration reaction ?[Main 2017]
5 g of was dissolved in x g of The change in freezing point was found to be .If is ionised,the value of x( for water ) is approximately : (molar mass of and that of )[Main 8 April 2017]
Among the following compounds, the increasing order of their basic strength is :[Main 9 April 2017]
What quantity (in mL) of a 45% acid solution of a mono-protic strong acid must be mixed with a 20% solution of the same acid to produce 800 mL of a 29.875% acid solution ?[Main 9 April 2017]
The major product obtained in the following reaction is :-[Main 2017]
Consider the following ionization enthalpies of two elements ‘A’ and ‘B’ Which of the following statements is correct ?ElementIonization enthalpy (kJ/mol) A899175714847B73714507731[Main 8 April 2017]
A metal crystallises in a face centred cubic structure.If the edge length of its unit cell is 'a',the closest approach between two atoms in metallic crystal will be :-[Main 2017]
The major product of the following reaction is : [Main 8 April 2017]
An ideal gas undergoes isothermal expansion at constant pressure. During the process :[Main 9 April 2017]
The freezing point of benzene decreases by 0.45°C when 0.2 g of acetic acid is added to20 g of benzene. If acetic acid associates to form a dimer in benzene, percentage association of acetic acid in b
A mixture containing the following four compounds is extracted with 1M HCl. The compound that goes to aqueous layer is :[Main 8 April 2017]
The major product of the following reaction is :[Main 9 April 2017]
Which of the following compounds will behave s a reducing sugar in an aqueous KOH solution ?[Main 2017]
For a reaction, .The correct statement for the reaction is :[Main 8 April 2017]
A solution containing a group-IV cation gives a precipitate on passing . A solution of this precipitate in dil.HCl produces a white precipitate with NaOH solution and bluish-white precipitate with bas
of a weak acid (HA) and of a weak base (BOH) are 3.2 and 3.4, respectively. The pH of their salt (AB) solution is[Main 2017]
Consider the following standard electrode potentials (E8 in volts) in aqueous solution :Element Al-1.66+0.55TI+1.26-0.34Based on these data, which of the following statements is correct ?[Main 8 April
The number of S = O and S−OH bondspresent in peroxodisulphuric acid andpyrosulphuric acid respectively are :[Main 8 April 2017]
Which of the following compounds will not undergo Friedel Craft’s reaction with benzene ?[Main 8 April 2017]
Which of the following compounds is most reactive to an aqueous solution of sodium carbonate ?[Main 9 April 2017]
on partial hydrolysis with water produces a compound ‘X’. The same compound ‘X’ is formed when reacts with silica. The compound ‘X’ is :[Main 9 April 2017]
The most abundant elements by mass in the body of a healthy human adult are :Oxygen (61.4%) ; Carbon (22.9%), Hydrogen (10.0%) ; and Nitrogen (2.6%). The weight which a 75 kg person would gain if all
The number of P−OH bonds and the oxidation state of phosphorus atom in pyrophosphoric acid respectively are :[Main 9 April 2017]
Among the following, the essential amino acid is :[Main 8 April 2017]
Among the following, the incorrect statement is :[Main 8 April 2017]
If the shortest wavelength in Lyman series of hydrogen atom is A, then the longest wavelength in Paschen series of is :[Main 8 April 2017]
Addition of sodium hydroxide solution to a weak acid (HA) results in a buffer of pH6. If ionisation constant of HA is ,the ratio of salt to acid concentration in the buffer solution will be :[Main 8 A
The radius of the second Bohr orbit for hydrogen atom is :(Plank's const. Js; mass of electron kg ; charge of electron C; permittivity of vaccum [Main 2017]
ΔU is equal to[Main 2017]
A solution is prepared by mixing 8.5 g of and 11.95 g of . If vapour pressure of and at 298 Kare 415 and 200 mmHg respectively, the mole fraction of in vapour form is :(Molar mass of [Main 9 April 201
The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is :(Assume activation energy and pre exponential factor are independent of tem
Which one of the following is an oxide ?[Main 9 April 2017]
The major product of the following reaction is :[Main 8 April 2017]
The incorrect statement among the following is :[Main 9 April 2017]
A compound of molecular formula reacts with acetophenone to form a single cross-aldol product in the presence of base. The same compound on reaction with conc. NaOH forms benzyl alcohol as one of the
In the following reactions, ZnO is respectively acting as a/an :(a) (b) [Main 2017]
Two reactions and have identical pre-exponential factors. Activation energy of exceeds that of by .If and are rate constants are rate constants for reactions and respectively at 300 K, then is equal t
The group having isoelectronic species is :-[Main 2017]
What is the standard reduction potential for ?Given that: [Main 8 April 2017]
At 300 K, the density of a certain gaseous molecule at 2 bar is double to that of dinitrogen at 4 bar. The molar mass of gaseous molecule is :([Main 9 April 2017]
A gas undergoes change from state A tostate B. In this process, the heat absorbed and work done by the gas is 5 J and 8 J,respectively. Now gas is brought back toA by another process during which 3 J
The correct sequence of decreasing number of π-bonds in the structures of and is :[Main 9 April 2017]
Given Among the following, the strongest reducing agent is[Main 2017]
hybridization is not displayed by :[Main 8 April 2017]
The products obtained when chlorine gas reacts with cold and dilut aqueous NaOH are :-[Main 2017]
Excess of NaOH (aq) was added to 100 mL of (aq) resulting into 2.14 g of . The molarity of (aq) is :(Given molar mass of and molar mass of [Main 8 April 2017]
Which of the following , upon treatment with tert-BuONa followed by addition of brominewater, fails to decolourize the colour of bromine ?[Main 2017]
The pair of compounds having metals in their highest oxidation state is :[Main 8 April 2017]
The major product obtained in the following reaction is :-[Main 2017]
Which of the following reactions is an example of a redox reaction ?[Main 2017]
The major product of the following reaction is : [Main 8 April 2017]
The electronic configuration with the highest ionization enthalpy is :[Main 9 April 2017]
Which of the following compounds will show highest dipole moment ?[Main 9 April 2017]
displays :[Main 9 April 2017]
The rate of a reaction A doubles on increasing the temperature from 300 to 310 K. By how much, the temperature of reaction B should be increased from 300 Kso that rate doubles if activation energy of
The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transition is associated with :[Main 9 April 2017]
On treatment of 100 mL of 0.1 M solution of with excess ions are precipitated. The complex is :-[Main 2017]
The group having triangular planar structures is :[Main 9 April 2017]
The correct sequence of reagents for the following conversion will be :-[Main 2017]
To find the standard potential of electrode,the following cell is constituted : The emf of the cell is found to be 0.421 volt at 298 K. The standard potential of half reaction at 298 K will be :(Given
The following reaction occurs in the Blast Furnace where iron ore is reduced to iron metal : Using the Le Chatelier’s principle, predict which one of the following will not disturb the equilibrium ?[M
3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product.The number of possible stereoisomers for the product is :-[Main 2017]
The IUPAC name of the following compound is :[Main 8 April 2017]
The increasing order of the reactivity of the following halides for the reaction is (I) (II) (III) [Main 2017]
Which of the following is paramagnetic ?[Main 8 April 2017]
50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If of ammonia solution is 4.75, the pH of the mixture will be :[Main 9 April 2017]
The major product expected from the following reaction is :[Main 8 April 2017]
A metal ‘M’ reacts with nitrogen gas to afford . on heating at high temperature gives back ‘M’ and on reaction with water produces a gas ‘B’. Gas‘B’ reacts with aqueous solution of to form a deep blue
A box contains 15 green and 10 yellow balls.If 10 balls are randomly drawn, one–by–one,with replacement, then the variance of the number of green balls drawn is :-[Main 2017]
Let f be a polynomial function such that , for all . Then :[Main 9 April 2017]
The function defined as , is :[Main 2017]
Let and . If (fog)(x)=x,then x is equal to:[Main 8 April 2017]
If two different numbers are taken from the set {0, 1, 2, 3, ......., 10), then the probability that their sum as well as absolute difference are both multiple of 4, is :-[Main 2017]
An unbiased coin is tossed eight times. Theprobability of obtaining at least one headand at least one tail is :[Main 8 April 2017]
If S is the set of distinct values of 'b' for which the following system of linear equations has no solution, then S is :[Main 2017]
The function f defined by , is :[Main 9 April 2017]
Let E and F be two independent events. The probability that both E and F happen is and the probability that neither E nor F happens is ,then a value of is:[Main 9 April 2017]
The distance of the point from the plane passing through the point having normal perpendicular to both lines and is :-[Main 2017]
Let ,Where C is a constant of integration,then the ordered pair (a,b) is equal to:-[Main 2017]
For any three events A,B and CP (Exactly one of A or B occurs)= P(Exactly one of B or C occurs)= P(Excatly one of C or occurs) andP(All the three events occur simultaneously) .Then the probability tha
If the image of the point in the plane, measured parallel to line, is Q ,then PQ is equal to :-[Main 2017]
If and , then is equal to:[Main 9 April 2017]
The integral is equal to :-[Main 2017]
The area (in sq. units) of the region and is :[Main 2017]
The function defined by , where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is :[Main 9 April 2017]
The integral is equal to:(where C is a constant of integration)[Main 8 April 2017]
The area (in sq. units) of the smaller portion enclosed between the curves, and , is :[Main 8 April 2017]
The value of k for which the function is continuous at , is:[Main 9 April 2017]
Let be a complex number such that where . If then kis equal to :-[Main 2017]
The line of intersection of the planes and , is:[Main 8 April 2017]
equals :-[Main 2017]
A tangent to the curve, at meets x-axis at A and y-axis at B. If and , then the curve also passes through the point :[Main 9 April 2017]
The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If now the mean age of the teachers in this school is 39 year
If a variable plane, at a distance of 3 units from the origin, intersects the coordinate axes at A, B and C, then the locus of the centroid of ∆ABC is :[Main 9 April 2017]
The coordinates of the foot of the perpendicular from the point on the plane containing the lines, and ,is:[Main 8 April 2017]
If , then k is equal to:[Main 9 April 2017]
If all the words, with or without meaning,are written using the letters of the word QUEEN and are arranged as in English dictionary, then the position of the word QUEEN is :[Main 8 April 2017]
The curve satisfying the differential equation, and passing through the point , also passes through the point :[Main 8 April 2017]
Let be a quadratic polynomial such that . If leaves remainder 4 when divided by and it leaves remainder 6 when divided by ; then :[Main 8 April 2017]
If and then is equal to :-[Main 2017]
Let A be any invertible matrix. Then which one of the following is not always true ?[Main 8 April 2017]
The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy and a particular girl never sit adjacent to each other, is :[Main 9 April 2017]
If the line lies in the plane, , then the shortest distance between this line and the line, is[Main 9 April 2017]
If and , then the ordered pair (A, B) is equal to :(where C is a constant of integration)[Main 9 April 2017]
The equation represents a part of a circle having radius equal to :[Main 9 April 2017]
The value of , ,is equal to :[Main 8 April 2017]
For two matrices A and B, let and , where is the transpose of B and is identity matrix. Then :[Main 9 April 2017]
A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in wh
The normal to the curve y(x – 2)(x – 3) = x + 6 at the point where the curve intersects the y-axis passes through the point :[Main 2017]
If ,then is equal to :[Main 8 April 2017]
If ,then is equal to:[Main 8 April 2017]
If, for a positive integer n, the quadratic equation, has two consecutive integral solutions, then n is equal to :[Main 2017]
If for some positive real number a, then a is equal to :[Main 9 April 2017]
If then adj is equal to:-[Main 2017]
The tangent at the point to the curve, does not pass through the point :[Main 8 April 2017]
The sum of 100 observations and the sum of their squares are 400 and 2475,respectively. Later on, three observations,3, 4 and 5, were found to be incorrect. If the incorrect observations are omitted,
Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector.Then the maximum area (in sq. m) of the flower-bed, is :-[Main 2017]
The integral equals :[Main 8 April 2017]
If for the derivative of is equals :-[Main 2017]
The sum of all the real values of x satisfying the equation is:[Main 9 April 2017]
Let a,b,c ∊ R.If is such that and ,then is equal to :[Main 2017]
is equal to :[Main 8 April 2017]
Three persons P, Q and R independentlytry to hit a target. If the probabilities oftheir hitting the target are and respectively, then the probability that thetarget is hit by P or Q but not by R is :[
The number of real values of λ for which the system of linear equations has infinitely many solutions, is :[Main 8 April 2017]
From a group of 10 men and 5 women,four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men, is :[Ma
Let , the set of complex numbers. Then the equation, represents :[Main 8 April 2017]
A value of x satisfying the equation , is :[Main 9 April 2017]
If is a solution of the system of linear equations such that the point (a, b, c) lies on the plane , then equals :[Main 9 April 2017]
Which of the following statements is false ?[Main 2017]
A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The outer loop of radius b carries an alternati
A single slit of width b is illuminated by a coherent monochromatic light of wavelength λ. If the second and fourth minima in the diffraction pattern at a distance 1 m from the slit are at 3cm and 6cm
The mass density of a spherical body is given by for and for ,where r is the distance from the centre.The correct graph that describes qualitatively the acceleration, a, of a test particle as a functi
In an experiment to determine the period of a simple pendulum of length 1 m, it isattached to different spherical bobs of radii and . The two spherical bobs haveuniform mass distribution. If the relat
The electric field component of a monochromatic radiation is given by Its magnetic field is then given by :[Main 9 April 2017]
A potentiometer PQ is set up to compare two resistances as shown in the figure. The ammeter A in the circuit reads 1.0 A when two way key is open. The balance point is at a length cm from P when two w
When a current of 5 mA is passed through a galvanometer having a coil of resistance 15 Ω, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to conve
Four closed surfaces and corresponding charge distributions are shown below.Let the respective electric fluxes throughthe surfaces be and Φ4. Then :[Main 9 April 2017]
A man grows into a giant such that his linear dimensions increase by a factor of 9. Assumingthat his density remains same, the stress in the leg will change by a factor of :[Main 2017]
A magnetic dipole in a constant magnetic field has :[Main 8 April 2017]
and are specific heats at constant pressure and constant volume respectively. It is observed that for hydrogen gas for nitrogen gasThe correct relation between a and b is :[Main 2017]
The current gain of a common emitter amplifier is 69. If the emitter current is7.0 mA, collector current is :[Main 9 April 2017]
An external pressure P is applied on a cube at 0°C so that it is equally compressed from all sides.K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Suppo
There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region,is found to vary between the limits 589.0 V to 589.8 V. What is the po
If the Earth has no rotational motion, the weight of a person on the equator is W.Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will we
A body of mass kg is moving in a medium and experiences a frictional force . Its initial speed is . If, after 10 s, its energy is , the value of k will be:-[Main 2017]
In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the f
A 9 V battery with internal resistance of 0.5 Ω is connected across an infinite network as shown in the figure. All ammeters and voltmeter V are ideal.Choose correct statement.[Main 8 April 2017]
A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be :[Main 2017]
A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically ab
The machine as shown has 2 rods of length 1 m connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls a
Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths is given by :[Main 2017]
A particle A f mass m and initial velocity v collides with a particle B of mass m/2 which is at rest.The collision is head on,and elastic.The ratio of the de-Broglie wavelengths to after the collision
In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror at a distance of 5 cm from it. It is found that an object and its image coincid
A block of mass kg is connected to an elastic spring of spring constant and oscillates in a damping medium of damping constant . The system dissipates its energy gradually. The time taken for its mech
The variation of acceleration due to gravity g with distance d from centre of the earth is bestrepresented by (R = Earth's radius):[Main 2017]
The acceleration of an electron in the first orbit of the hydrogen atom (n=1) is :[Main 9 April 2017]
An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure and at constant volume is :[Main 8 April 2017]
A magnetic needle of magnetic moment and moment of inertia is performing simple harmonic oscillations in a magnetic field of 0.01 T.Time taken for 10 complete oscillations is :[Main 2017]
In a coil of resistance 100Ω, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is :[Main 2017]
Two tubes of radii and , and lengths and respectively, are connected in series and a liquid flows through each of them in streamline conditions. and are pressure differences across the two tubes.If is
A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 Å and diffraction bands are observed on a screen 0.5 m from the slit. The distance of the third dark band fr
The temperature of an open room of volume increase from 17°C to 27°C due to sunshine.The atmospheric pressure in the room remains Pa.If and are the number of molecules in the room before and after hea
Let the refractive index of a denser medium with respect to a rarer medium be and its critical angle be . At an angle of incidence A when light is travelling from denser medium to rarer medium, a part
A physical quantity P is described by the relation If the relative errors in the measurement of a,b,c and d respectively, are and , then the relative error in P If the relative errors in the measureme
The following observations were taken for determining surface tensiton T of water bycapillary method : Diameter of capillary, rise of water, Using g = 9.80 m/s2 and the simplified relation N/m, the po
In the above circuit the current in each resistance is :[Main 2017]
A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by ∆T. The net change in its length is zero. Let l be the
A radioactive nucleus A with a half life T, decays into a nucleus B. At t = 0, there is no nucleus B.At sometime t, the ratio of the number of B to that of A is 0.3. Then, t is given by :A radioactive
Two deuterons undergo nuclear fusion to form a Helium nucleus. Energy released in this process is : (given binding energy per nucleon for deuteron=1.1 MeV and for helium=7.0 MeV)[Main 8 April 2017]
In a meter bridge experiment resistances are connected as shown in the figure.Initially resistance and the neutral point N is at 60 cm from A. Now an unknown resistance R is connected in series to P a
Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be :[Main 8 April 2017]
Imagine that a reactor converts all given mass into energy and that it operates at a power level of 109 watt. The mass of the fuel consumed per hour in the reactor will be : (velocity of light, c is m
A car is standing 200 m behind a bus,which is also at rest.The two start moving at the same instant but with different forward accelerations.The bus has acceleration and the car has acceleration .The
In a certain region static electric and magnetic fields exist. The magnetic field is given by .If a test charge moving with a velocity experiences no force in that region, then the electric field in t
A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15 cm from a converging lens of magnitude of focal length 20 cm. A beam of parallel light falls on the diverging lens.
An object is dropped from a height h from the ground. Everytime it hits the ground it loses 50% of its kinetic energy. The total distance covered as is :[Main 8 April 2017]
A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system i
An electron beam is accelerated by a potential difference V to hit a metallic target to produce X-rays.It produces continuous as well as characteristics X-rays.If is the smallest possible wavelength o
A body is thrown vertically upwards. Which one of the following graphs correctly representthe velocity vs time?[Main 2017]
The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10 .At, the displacement is 5 m. What is the maximum acceleration ? The initial phase is [Main 8 April 2017]
A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the current. The motion of the charge is :[Main 9 Apr
A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by .What is the speed of the travelling wave moving in the positive
A uniform disc of radius R and mass M is free to rotate only about its axis. A string is wrapped over its rim and a body of mass m is tied to the free end of the string as shown in the figure. The bod
The area (in sq. units) of the parallelogram whose diagonals are along the vectors and , is :[Main 8 April 2017]
A steel rail of length 5 m and area of cross section is prevented from expanding along its length while the temperature rises by 10 ° C. If coefficient of linear expansion and Young’s modulus of steel
An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz. What is the frequency of the microwave measured by the observer?(speed of l
An engine operates by taking n moles of an ideal gas through the cycle ABCDA shown in figure. The thermal efficiency of the engine is : (Take R, where R is gas constant)[Main 8 April 2017]
A conical pendulum of length 1 m makes an angle θ=45° w.r.t. Z-axis and moves in a circle in the XY plane. The radius of the circle is 0.4 m and its center is vertically below O. The speed of the pend
In the given circuit diagram when the current reaches steady state in the circuit,the charge on the capacitor of capacitance C will be :[Main 2017]
A uniform wire of length l and radius r has a resistance of 100 Ω. It is recast into a wire of radius .The resistance of new wire will be :[Main 9 April 2017]
Moment of inertia of an equilateral triangular lamina ABC, about the axis passing through its centre O and perpendicular to its plane is as shown in the figure. A cavity DEF is cut out from the lamina
In an experiment a sphere of aluminium of mass 0.20 kg is heated upto 150°C. Immediately, it is put into water of volume 150 cc at 27°C kept in a calorimeter of water equivalent to 0.025 kg. Final tem
A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that , and . The total impedance, and phase difference between the voltage across the sou
A circular hole of radius is made in a thin uniform disc having mass M and radius R, as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the po
In a young's double slit experiment,slits are separated by 0.5mm,and the screen is placed 150 cm away. A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference
Two particles A and B of equal mass M are moving with the same speed v as shown in the figure. They collide completely in elastically and move as a single particle C. The angle θ that the path of C ma
A particle is executing simple harmonic motion with a time period T. AT time t = 0, it is at its position of equilibrium. The kinetic energy-time graph of the particle will look like[Main 2017]
Two wires and have the same radius r and respective densities and such that .They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under
A uniform magnetic field B of 0.3 T is along the positive Z-direction. A rectangular loop (abcd) of sides 10 cm×5 cm carries a current I of 12 A. Out of the following different orientations which one
A combination of parallel plate capacitors is maintained at a certain potentialdifference.When a 3 mm thick slab is introducedbetween all the plates, in order to maintain the same potential difference
Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?[Main 8 April 2017]
The maximum velocity of the photoelectrons emitted from the surface is v when light of frequency n falls on a metal surface. If the incident frequency is increased to 3n, the maximum velocity of the e
N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomi
The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the configurations I, II and III are and respectively, then :[Main 9 April 2017]
The V-I characteristic of a diode is shown in the figure. The ratio of forward to reverse bias resistance is :[Main 8 April 2017]
The moment of inertia of a uniform cylinder of length l and radius R about its perpendicularbisector is I. What is the ratio l/R such that the moment of inertia is minimum ?[Main 2017]
The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 µC charge, its radius will be: [Take: ][Main 8 April 2017]
An electric dipole has a fixed dipole moment ,which makes angle with respect to x-axis.when subjected to an electric field ,it experiences a torque ,When subjected to another electric field it experie
In a common emitter amplifier circuit using an n-p-n transistor,the phase difference between the input and the output volatage will be :[Main 2017]
What is the conductivity of a semiconductor sample having electron concentration of , hole concentration of ,electron mobility of and hole mobility of ?(Take charge of electron as )[Main 8 April 2017]
A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an 8 kg block placed on
For the P-V diagram given for an ideal gas out of the following which one correctly represents the T-P diagram ?[Main 9 April 2017]
A capacitance of 2µF is required in an electrical circuit across a potential difference of 1.0 kV.A large number of 1µF capacitors are available which can withstand a potential difference of not more
A Laser light of wavelength 660 nm is used to weld Retina detachment. If a Laser pulse of width 60 ms and power 0.5 kW is used the approximate number of photons in the pulse are : [Take Planck’s const
According to Bohr’s theory, the time averaged magnetic field at the centre (i.e.nucleus) of a hydrogen atom due to the motion of electrons in the nth orbit is proportional to : (n=principal quantum nu