Physics Questions

electrons is 12 times to that of holes If number density of electrons is 3 times to the number density of holes then the ratio mobility of free electrons to holes is 1 2 3 2 3 1 3 4 1 4 4 3

Abattalion of soldiers is ordered to swim across a river 500 m wide At what minimum rate should they swim perpendicular to river flow in order to avoid being washed away by the waterfall 300 m downstream The speed of current being 3 m sec A 6 m sec B 5 m sec C 4 m sec D 2 m sec

For four particles A B C D the velocities of one with respect to other are given as Voc is 20 m s towards north VBC is 20 m s towards east and VBA is 20 m s towards south Then VDA is A 20 m s towards north B 20 m s towards south D 20 m s towards west C 20 m s towards east

25 Source and observer both start moving simultaneously from origin one along x axis and the other along y axis with speed of source 2 speed of observer The graph between the apparent frequency observed by observer f and time t would be a for c fo b d fo fo

For the following figure calculate the shear stress V when x 16 0 m Draw the Shear Force and Bending Moment diagrams and upload these at the end of the exam Remember to correctly place the positive or negative sign and highlight the value of the absolute maximum shear force the maximum positive and negative bending moments 7 0 kN m 16 m 4 m X

7 If the speed of light were 2 3 of its present value the energy released in a given atomic explosion will be decreased by a fraction m 2 C mc 2 a 2 3 c 3 4 b 4 9 d 5 9 E m AE S mc 9 10 dous The time

6 Assume the piezoceramic sensor dimensions 15mm x 35mm x 0 6mm W L T The parameters are 831 12 x 10 Vm N E 8x 10 0 N m c 11 95 x 10 9 F m Calculate a the capacitance C b the piezoelectric coefficient the axial deflection when the voltage output is 101

Numerical Value Type Read More Network shown in the figure is part of a circuit The current is 2 A and is decreasing at the rate of 2 A s

3 V V V 4 V V V In given circuit find the reading of voltmeter Er ET B 1 2 2 3 3e 4 0 When a current of 4 A flows within a battery from its 35 3 V V V fed fun atez A Er GR 1 2 2c fare 2 V V V 4 V V V ere ich and ET ET B 3 3 4 0 2007 for oft 4 inform

10 Three slabs A B and C are placed in front of slits in YDSE as shown in figure Refractive index of slabs A B and C are 4 3 5 3 and 8 3 respectively and thickness of A B and C are 2 mm 1 mm and 1 5 mm respectively A liquid of refractive index 2u 3 is filled between slits and screen A monochromatic light of wavelength 5000 is incident on the slits If the central bright fringe is obtained at C then find the value of u S 2 IS atno 8 16 3

At t 0 a sound source S and observers 0 O2 are placed as shown S is moving with speed V and 0 and O2 are moving with speed Vo At any later instant let f and f represent apparent frequencies of sound observed by 0 and O respectively The ratio f f is Note V and Vo are less than speed of sound in this medium AV 0 0 2 1 Question Type Single Correct Type 2 3 zero V 2 0 S 1 2 0 0 between 0 and 1

A uniform equilateral wire frame in vertical plane having mass 3m and length at each side I is hinged at A Two ideal mass less springs of force constants k and k are attached as shown in the fig The frequency of small oscillations about A in vertical 1A Ck k 3g 38 2n B 4m 3m acceleration due to gravity 8 AYANA GROUP plane is given by xxxxxxxxx AB then find the value of is K xxxxx co

The field due to a wire of n turns and radius r which carries a current I is measured on the axis of the coil at a small distance h from the center of the coil This is smaller than the field at the center by the fraction 1 3 3h IN MIN 2 3r 2h 2 4 2 h 2 3 2 3 3 2 r 3h

15 Charge is distributed inside a long cylindrical volume of radius R such that charge density inside the volume varies as where a is a constant and r the distance from the axis of the cylinder If the magnitude of electric field inside the cylinder is independent of r the value of n is

State the representation with no spaces between numbers A Question 8 1 point What is the decimal representation value of the binary number 101101

28 In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact what will be angle of refraction 1 180 12 00 0 3 Equal to angle of incidence 10 4 90 m from the

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diameter It is pivoted at its centre C with its plane vertical and two blocks of masses m and 2m are suspended by means of a light in extensible string passing over it as shown in the figure The ring is free to rotate about C and the system is placed in a magnetic field B into the plane of the ring A circuit is now completed by connecting the ring at A and C to a battery of emf V Find the value of V in Volts so that the system remains static Take m 100 kg B 100 Tesla r 20 X P X X X X m X X A O X X X X 2m Resistance of PQ 2R

For paraxial rays show that the focal length of a spherical mirror is one half of it radius of curvature Explain about total internal reflecting prisms with suitable ray diagrams

25 A beam of cathode rays is subjected to crossed electric E and magnetic fields B The fields are adjusted such that the beam is not deflected The specific charge of the cathode rays is given by AIPMT Prelims 2010 1 B 2VE 2VE 2 2VB E E

A car of mass m starts from rest and accelerate so that instantaneous power delivered to the car has a constant magnitude Po The instantaneous velocity of this car is proportional to 1 1 2 11 2 3 1 2 4 t

Statement1 Bending of light due to obstruction by opaque objects is called the phenomenon of Refraction Statement2 Different speeds are experienced by a ray of light while it travels in different mediums O Both Statements are true Statement 1 is true and statement 2 is false Statement 1 is false and statement 2 is true Both statements are false

A student performs an experiment to determine the Young s modulus of wire exactly 2 m long by Searle s method In a particular reading the student measures the extension in the length of the wire to be 0 8 mm with an uncertainty of 0 02 mm at a load of exactly 1 0 kg The student also measures the diameter of the wire to be 0 4 mm with an uncertainty of 0 04 mm Take g 10 m s exact The Young s modulus obtained from the reading is O 2 00 3 x 10 N m O 2 0 0 45 1011 N m O 2 00 2 x 10 N m O 2 0 0 05 x 10 N m

A point object is placed on the axis of the concave mirror at a distance of 60 cm from the focal point of the mirror Its image is formed at the point of object itself then focal length of mirror is O 15 cm O 30 cm 60 cm 120 cm

ng the on of eld in force A particle of specific charge kg is projecte from origin towards positive x axis with a veloci of 10m s in a uniform magnetic field B 2k1 The velocity of particle after 0 167 sec will be 1 5 5 31 m s 2 10 m s 3 5 31 5 m s 4 10 m s An infinitely long straight conductor AB is fixed and a current is passed through it Another movab straight wire CD of finite length and carrying curre Neglectin 1 6 3 4 3 3 3 4 14 A flexible conducting loop an field of strength B normal to A current I exists in the developed in the wire at equ 1 21 281 0 0

SolveLancer Test Consider the following statements given below and answer the correct 1 For a system of particles the sum of momentum and the sum of kinetic energy of particles as seen from frame of reference of centre of mass of the system are both zero II In a binary star system the lighter star revolves around the heavier star due to gravitational force III For a wave produced in the medium the amplitude and frequency and wave velocity depend on the source IV Electric field are always conservative in nature SolveLancer Test a 1 b 2 c 3 d 4

The current velocity of a river grows in proportion to the distance from its bank and reaches the maximum value vo in the middle Near the banks the velocity is zero A boat is moving along the river in such a manner that it is always perpendicular to current and the speed of the boat in still water is u If the width of river is I the distance through which the boat crossing the river will be carried away by the Ivo Current in

An initially uncharged capacitor C is being charged by a battery of emf E through a resistance R upto the instant when the capacitor is charged to the potential E 2 the ratio of the work done by the battery to the heat dissipated by the resistor is given by A 2 1 B 3 1 C 4 3 D 4 1 2 W x 1 GV LC E1 CE

SolveLancer Test In a hypothetical situation a small spaceship having charge q approaches a massive planet which has a charge Q Initially the distance between them is very large as shown Q Spaceship d 221 q 2u 5u O Planet What is the final velocity of spaceship when it again at a large distance from the planet Ignore effects of gravity SolveLancer Test a Data insufficient b 7u c 12u

Determine value of Vo for the elect shown in the figure Ge 10 V 1 6 6 V Si 1 22 OV 3 392 2 9 V 4 6 6 V

Block is free to move inside a vertical fixed smooth tube shown in the figure Choose correct option s Block will oscillate when v 2gR Block will complete vertical circular motion when v Block will complete vertical circular motion when v 4 5gR 6gR Block will complete vertical circular motion when Vo 2gR R Block

The position of vector of a particle that is moving in three dimensions is given by 7 1 2 cos 2cot i 3sin wt 31 k in an inertial frame All units are in Sl Choose the correct statement s The particle executes SHM in the ground frame about the mean position 1 2 3 The particle executes SHM in a frame moving along the ve z axis with a velocity of 3 m s The amplitude of the SHM of the particle when seen from appropriate reference frame is m The direction of the SHM of the particle when seen from appropriate reference frame is given by the vector

106 Electromagnet 8 An inductor L and a resistance R are connected in series with a battery of emf E and a switch Initially the switch is open The switch is closed at an instant t 0 Select the correct alternatives 1 At t 0 induced emf in inductor is zero L 2 At t energy stored in the inductor is R 2 LE 2R 2 1 e 3 At t R 4 At t R E 1 1 induced emf in the inductor is E e voltage drop across the resistor is

51 If and be the wavelength of first Balmer line of deuterium and hydrogen respectively then un am a va di un ar to 1 H 2 H 3 H 4 2D 2 H 52 A parallel plate capacitor after charging is kept connected to a battery and the plates are pulled apart with

A ring which is initially placed at the height h as measured from its center rolls down an inclined plane making an angle with the horizontal starting from rest The radius and mass of the ring are a and m find the angular velocity of the ring as it reaches the bottom of the inclination a b c d g V h r tan e g h r 2g h r g h r

A rod is fixed between a vertical wall and a horizontal surface A smooth ring of mass 1 kg is released from rest which can move along the rod as shown At the release point spring is vertical and relaxed The natural g 10 m s 0000000 30 length of the spring is 3 1 m Rod makes an angle of 30 with the horizontal Ring again comes to rest when spring makes an angle of 30 with the vertical A Force constant of the spring is 3 1 N m m 2 B Maximum displacement of ring is 3 1 C Maximum extension in the spring is 3 1 m D Normal reaction on ring due to rod when it again comes to rest is 3 1 N

54 The current i in a induction coil varies with time t according to the graph shown fayd er i et nyt ada di which of the following graph shown the induced emf E in the coil with time A 1 i E KELU 3 2 t 4 t

In the given figure the variation of potential energy of a particle of mass m is represented wr t its x coordinate The particle can move under the effect of this conservative force along the alternatives At point B the acceleration of particle is along the positive x axis At point C the acceleration of particle is along the positive x axis At point A and C particle is in unstable and stable equilibrium respectively At point B and D particle is in stable and unstable equilibrium respectively U in J A D x in m

26 A small circular flexible loop of wire of radius R carries a current It is placed in a uniform magnetic B The tension in the loop will be doubled if 1 is doubled 3 R is doubled 7 Two circular coils mounted parallel to 2 B is doubled 4 All of these 11

Potential energy function along x axis in a certain force field is given as x3 5 U x 6x 6 3 2 For the given force field choose the correct option s 1 the points of equilibrium are x 2 and x 3 the point x 2 is a point of unstable equilibrium the point x 3 is a point of stable equilibrium Othere exists no point of neutral equilibrium

Mechanical Properties of Solids 13 The edge of an aluminum cube is 10 cm One face of the cube is firmly fixed to a vertical wall A mass of 100 kg is attached to the opposite face of the cube The vertical deflection of this face is G 25 10 Pa NCERT XI Pg 248 2 3 x 10 6 m 1 4 x 10 7 m 3 2 x 10 6 m 4 1 x 10 6 m 14 A rigid bar of mass 15 kg is supported symmetrically by three wires each 2 0 m long Those at each end are of copper and the middle one is of iron If tension in each rod is same the ratio of diameters is nearly NCERT XI Pg 248 2 0 8 1 6 3 4 2 4 2 0 15 The density of water at a depth where pressure is 80 0 atm Given density at the surface is 1 03 x 103 kg m B 2 2 x 10 N m NCERT XI Pg 248 1 1 034 x 10 kg m 2 1 34 x 10 kg m 3 1 64 x 10 kg m 4 2 084 x 103 kg m 16 A rod of length 1 05 m having negligible mass is supported at its ends by two wires of steel wire A and aluminum wire B of equal lengths as shown in figure The cross sectional areas of wire A and B are 2 0 mm and 4 0 mm respectively The distance x from left end where a mass mis suspended in order to produce equal stresses is Yout 2x1011 N m 2 You 7x1010 N m 2 m B NCERT XI Pg 249 1 70 cm 2 35 cm 3 65 cm 4 40 cm 17 In Q16 the distance x from left end to produce equal strains is NCERT XI Pg 249 1 70 cm 2 43 2 cm 3 65 cm 4 35 cm 18 A 15 kg mass fastened to the end of a steel wire of unstretched length 1 0 m is whirled in a vertical circle with an angular velocity of 4 radian s at the bottom of the circle The cross sectional area of the wire is 0 065 cm The elongation of the wire when the mass is at the lowest point is g 10 m s NCERT XI Pg 248 2 2 05 mm 1 1 93 mm 3 1 65 mm 4 3 05 mm 19 A mild steel wire of length 2L and cross sectional area A is stretched within elastic limit horizontally between two pillars as shown in the figure A mass m is suspended from the mid point of the wire Strain in the wine in

The displacement of a particle is rep resented by the following equation s 3t 3 7t 2 5t 8 Where x is in meters and t in second s The acceleration of the particle at t 1 s is IN this question i dint understand th e part that how 9t 2 14t 5

1 42 A solid non conducting hemisphere of radius R has a uniformly distributed positive charge of density p per unit volume A negatively charged particle having charge q is transferred from centre of its base to infinity Calculate work performed in the process Di electric constant of material of hemisphere is unity Ans 9pR 480 1

The edge of an aluminum cube is 10 cm One face of the cube is firmly fixed to a vertical wall A mass of 100 kg is attached to the opposite face of the cube The vertical deflection of this face is G 25 10 Pa NCERT XI Pg 248 2 3 x 10 6 m 1 4 x 10 7 m 3 2 x 10 6 m 4 1 x 10 6 m 14 A rigid bar of mass 15 kg is supported symmetrically by three wires each 2 0 m long Those at each end are of copper and the middle one is of iron If tension in each rod is same the ratio of diameters is nearly NCERT XI Pg 248 2 0 8 1 6 3 4 2 4 2 0 15 The density of water at a depth where pressure is 80 0 atm Given density at the surface is 1 03 x 10 kg m B 2 2 10 N m NCERT XI Pg 248 1 1 034 10 kg m 2 1 34 10 kg m 3 1 64 x 10 kg m 4 2 084 10 kg m 16 A rod of length 1 05 m having negligible mass is supported at its ends by two wires of steel wire A and aluminum wire B of equal lengths as shown in figure The cross sectional areas of wire A and B are 2 0 mm and 4 0 mm respectively The distance x from left end where a mass m is suspended in order to produce equal stresses is 18 A 19 m NCERT XI Pg 249 1 70 cm 2 35 cm 3 65 cm 4 40 cm 17 In Q16 the distance x from left end to produce equal strains is B NCERT XI Pg 249 2 43 2 cm 1 70 cm 3 65 cm 4 35 cm A 15 kg mass fastened to the end of a steel wire of unstretched length 1 0 m is whirled in a vertical circle with an angular velocity of 4 radian s at the bottom of the circle The cross sectional area of the wire is 0 065 cm The elongation of the wire when the mass is at the lowest point is g 10 m s NCERT XI Pg 248 2 2 05 mm 1 1 93 mm 3 1 65 mm 4 3 05 mm A mild steel wire of length 2L and cross sectional area A is stretched within elastic limit horizontally between two pillars as shown in the figure A mass m is suspended from the mid point of the wir Strain in the 20

Two particles A and B moving in X Y plane are at origin at t 0 sec The initial velocity vectors of A and B are A 81 m s and B 8j m s The acceleration of A and B are constant and are aA 21 m s and a B 2jm s Column I gives certain statements regarding particle A and B Column Il gives corresponding results

You are given a number of 27 resistors each capable of dissipating only 2 9 W without being destroyed What is the minimum number of such resistors that you need to combine in series or in parallel to make a 270 resistance that is capable of dissipating at east 5 0 W

Find the voltage across 4 resistor for the circuit shown in figure 1002 www 1522 E 25 V www 492 602 www 892 Only one correct answer 852

A spherically symmetric change distribution is characterised by a change density having the following variation 2014 p r Po 1 R p r 0 for r R The radial electric field is given by A C Po 480 Po 380 r r 3 4R r 3 for r R 4R B D Po r 80 3 4R Po r 12 3 4R

A conducting spherical shell is given charge 20 A point charge Q is kept inside the shell at point O as shown Now if charge Q is shifted from point O to point P then magnitude of electric field at point A outside the shell will 2Q Q D A

educe circuit below to its Thevenin equivalent circuit which will contain one resistor on apacitor and one power supply Also calculate the current through the circuit after the apacitor s are charged R1 R2 Vdc 14 0 R1 5 0k R2 12 5kQ R3 2 0k2 R4 12 02 R5 5 0k02 R6 1 0k R7 1 2kQ2 R8 4 3k R9 700 R7 R8 C1 20 F C2 15 F C3 5 F R3 R6 w R9 R4 www www R5

17 The moment of inertia of a solid sphere about an axis passing through centre of gravity is MR then its radius of gyration about a parallel axis at a distance 2R from first axis is Tord s Tur and 34 fe 1 5R id quia fa 2 4 22 R 3 5R 2 MR 4 12 R 2R