Physics Questions

An electric dipole is placed along the x axis at 16 the origin O A point P is at a distance of 20cm from this origin such that OP makes an angle questionpaper with the x axis If the electric field at P makes an angle 8 with the x axis the value of 8 would be e W 2 tan 3 4 tan 1 MS amm 2 3 Im tan 4 tan ergfen ve aya faye ten 20 enfa pfeera

The resistance of a moving coil galvanometer is 5000 and the current required for its maximum deflection is 10 A To convert the galvanometer into a voltmeter to read a maximum voltage of 100 mV what should be the resistance to be connected in series with it 9 5 km

m Two masses m and are connected at the two ends of 2 a massless rigid rod of length 7 The rod is suspended by a thin wire of torsional constant k at the centre of mass of the rod mass system see figure Because of torsional constant k the restoring toruque is t k0 for angular displacement 0 If the rod is rotated by 0 and released the tension in it when it passes through its mean position will be 1 2 3k0 1 m 2 LU 2 m 2k0 1

Two particles execute SHM of same amplitude of 20 cm with same period along the same line about the same equilibrium position The maximum distance between the two is 20 cm Their phase difference in radians is B 1 1 2 A 2 3 Se 3 D e 4

A circular current loop of magnetic M is in an arbitrary orientation in an external magnetic field B The work done to rotate the loop by 30 about an axis perpendicular to its plane is A MB MB 2 C MB 2 B 3 D Zero

11 a Define electric flux Write its S I unit b Using Gauss s law prove that the electric field at a point due to uniformly charged infinite plane sheet is independent of the distance from it How does this electric field change for a thick sheet of charge

4 A tank with a base of 4 feet by 3 feet and a height of 4 feet is full of water see figure How much work is done in pumping water out over the top edge in order to empty half of the tank 4 ft

6 A metal rod of 1 m length is dropped exact vertically on to a hard metal floor Plate capacitor is to be designed it is determined that the impact produces a longitudinal wave of 1 2 kHz frequency The speed of sound in the metal rod is bor 2017 Gujarat a 600 m s c 1800 m s b 2400 m s d 1200 m s

Charge on surface x x is III 2 20 0 4 0 2Q 1 Q 2Q 3 20 0 last Course Il 1 47 14 xx 1 Q 2Q 3 20 0 Space for Rough Work fery Gre 2 20 0 4 0 2Q 1001CMD302220006 E H 22082020

Q 1 SINGLE CHOICE One mole of an ideal gas is contained under a weightless conducting piston of a vertical cylinder at a temperature T The space over the piston is open to the atmosphere The amount of work that has to be done to increase the gas volume in the cylinder to n times by slowly raising the piston is Neglect friction T H d 3IG f Talu UR 3 afe a7 i HT 34 62 31 Mz27 WA MA 42 1 EAZ AZ FAZZA da ch nya ac d fa f g u c anvq ma 1 A a C RT n 1 ln n Correct Answer BRT n 1 In n RT n 1 2 2 In n 1

A galvanometer of resistance 2000 can withstand a maxi mum current of 1 mA What is the resistance of a shunt that should be connected in parallel to get an ammeter of range 0 1 A 0 22 approx

Two buckets each of mass 27 4 kg spin around a horizontal circle of radius 4 20 m on frictionless bearings with an initial angular velocity of 34 3 rad s Suddenly a mass of 15 5 kg drops straight down into one of the buckets What is the final angular velocity of the buckets Give your answer in rad s to 3 sig digits but do not include units with your answer

A calcite crystal is placed over a dot on a piece of paper and rotated On viewing through calcite one will see 1 a single dot 2 two stationary dots 3 two rotating dots 4 one dot rotating about the other 12 se face una fam 1 2 at fr 3 4

The velocity of a projectile as a function of the time t is given as follows It is also known that the initial position of the projectile at t 0 is 7 0 0 0 24 Find the position vector of the projectile as a function of time t is r t v t 4t 66 44t 39 j 20t 27 k Bi

A simple pendulum of length l has a bob of mass m It executes S H M of small amplitude A The maximum tension in the string is g acceleration due to gravity A 2 mg B C D mg mg mg 1 1 2 1 2

Please calculate the percent loss Percent Energy Loss mgh mgh mightin Experiment 1 Data Table 3 Determing Percent Loss Starting Position h m h m h m h3 m Percent Loss h to h Percent Loss hi to h Percent Loss hi to h3 Data Table 1 5 3 8 3 8 3 8 0 10 0 EEE Data Table 2 Data Table 3 4 3 2 3 1 3 0 x100 Data Table 4 EEE Data Table 5 3 2 6 2 4 2 5

8 Let t 3t 4t 3 and 2 t 4t i 3tj represent the positions of particles 1 and 2 respectively as functions of time t t and t are in metres and t is in seconds The relative speed of the two particles at the instant t 1 s will be 1 1 m s 2 3 2 m s 4 7 2 m s men 3 5 2 m s

2 3 3a 3a Electric charges q q 2q are placed at the corners of 22 an equilateral triangle ABC of side 1 The magnitude of electric dipole moment of the system is 1 ql 3 3ql 2 2q1 4 491 3 3a and 3a 1 ql 3 3ql ABC 19 9 2 face in and aga quia aftur 2 2q1 4 4ql

An aeroplane touches the runway at 270 km h and stops after a run of one kilometre How lomm does it take to stop 26 67 A car accelerates from rest at 2 m s What will be its speed and how far will it be from i starting point after 10 s After what distance will its speed be 40 m s 20 m s 100 m 400 m

1 9m 2 12m 3 15m 4 18m Determine the angular separation between central 8 maximum and first order maxima of the diffraction pattern due to a single slit of width 0 25 mm when light of wavelength 5890 A is incident on it 1 3 534 10 rad 2 2 35 10 rad 4 15 8 10 3 1 47 10 rad rad 1 9m 2 12m ET 1 3 534 10 3 1 47 10 5890 fere q nafara for a feat caufa q rad 3 15m rad 4 18m 0 25 mm at fada f 2 2 35 10 rad 4 15 10 nd

You are provided with a large number of identical capacitors each of capacitance 2uF and potential 5 volt How many capacitors should you use and how to get a net capacitance of 5uF and a potential of 20 volt

The time period of a particle performing SHM is 18 s What is the time taken by make a displacement equal to half its ampli from its equilibrium position 1 3 s 2 2 s 4 1s 3 3 w S

A cylindrical container is filled with water upto the brim If the pressure exerted by the water at the bottom of the container is 1000 Pa the height of the container is cm take g 10 m s A 10 B 100 C 1 D 20

A particle projected from origin moves in x y plane with a velocity v 31 6xj where i and V are the unit vectors along x and y axis Find the equation of path followed by the particle 1 1 y x 3 y 2x 2 y 4 y 1 X

A particle with charge qo and mass m is projected from an infinitely large non conducting thin sheet having charge per unit area o with speed Vo at angle 0 with the plate Neglecting gravity the time after which the particle will strike the plane is O 4 mV sine 090 2 mV sine 090

Find VA VB in given circuit if 15V I 5A A www1 192 0000000 5mH i Current is decreasing at the rate 10 amp sec ii Current increasing at the rate 10 amp sec iii Current is constant B

A person takes T second on the stationary escalator to cover some distance The person takes 7 second in the moving escalator to cover same distance by same velocity If person is at rest on the escalator then time taken by him to cover same distance is 2 T T 1 T T 3 T T T T 2 4 T T T T T T 2

ectangular coil consists of N 130 closely wrapped turns and has dimensions a 0 400 m and b 0 300 m The coil is hinged along the y axis and its plane makes an angle 30 0 with the x axis figure B X a What is the magnitude of the torque exerted on the coil by a uniform magnetic field B 0 840 T directed in the positive x direction when the current is I 1 20 A in the direction shown N m b If you are looking downward from the positive y direction what is the expected direction of rotation of the coil Oclockwise

The spectral term for the atom with 70 filled subshell and only S 3 2 is a P b 4F9 2 c F 12 d P

7 The e m f induced in a pure inductor of inductance 100 mH is 3t2 2 V If at t 0 current through the inductor is 0 then the current through it at time t 2 s will be 1 160 A 2 120 A 3 140 A 4 220 A

Heat is given to a monoatomic gas which was at P V T till its pressure is double keeping volume constant after that it is again heated at constant pressure till it s volume is doubled then it s average molar specific heat for initial to final point will be 1 1 3 R 15 2 1 R 15 1

Let a conducting loop connected with a battery be placed in a non uniform magnetic field Then there is 1 no induced emf but current flows in the coil 2 neither induced emf nor current flowing in the coil an induced emf and current flowing in the coil an induced emf but no current flows in the coil 3 4

Which one of the following statements is not true about the motion of a projectile 1 The time of flight of a projectile is proportional to the speed with which it is projected at a given angle of projection 2 The horizontal range of a projectile is proportional to the square root of the speed with which it is projected 3 For a given speed of projection the angle of projection for maximum range is 45 4 At maximum height the acceleration due to gravity is perpendicular to the velocity of the projectile

50 A circuit consists of five identical conductors as shown in figure The conductors are now connected by two wires of zero resistance as indicated by dotted lines The ratio of net resistances after and before addition will be 2 3 7 1 IS

ALLEN 11 Unpolarized beam of light intensity I is incident 11 fer fru pair 41 fanfar af you a on a pair of Nichols making an angle 60 with each other The intensity of light emerging from the pair is 60 you fifteren 1 I 2 1 2 3 1 4 4 1 8 eft 1 I qf 2 1 2 3 1 4 4 1 8

A solid sphere is rolling on a frictionles surface shown in figure with a translational velocity v m s If sphere climbs up to height h then value of v should be 10 1 gh 2 2gh 3 2gh

65 The potential energy of a force field F is given terms of co ordinates by U x y cos x y The force acting on a particle at position given by cc ordinate 0 4 is 1 i 1 1 3 2 2 31 2 2 12 1 3 2 4 12

2 69 A bar of mass m resting on a smooth horizontal plane starts moving due to a force F mg 3 of constant magnitude In the process of its rectilinear motion the angle 9 between the direction of this force and the horizontal varies as 0 ks where k is a constant Find the velocity of the bar as a function of the angle 0 Ans 2g sine 3k

The figure shows two infinite semi cylindrical thin shells Shell 1 and shell 2 Shell 1 carries current i inward direction normal to the plane of paper while shell 2 carries same current i in opposite direction A long straight conductor lying along the common axis of the shells is carrying current i2 in direction same as that of current in shell 1 Force per unit length or the wire is Insulation Shell 1 Insulation Shell 2

ALLEN 43 The electric field of long uniformly charged wire 43 a ya una su m f ra are an faga x na ukaffa s f 44 varies with respect to perpendicular distance r from wire Which of the following graph is correct 1 3 E 2 An insulated sphere of radius R has a uniform 44 e 1 3 2 Rulle het

An object of mass 10 kg is projected from ground with speed 40 m s at an angle 60 with horizontal The rate of change of momentum of object one second after projection in SI unit is Take g 9 8 m s 1 73 3 176 2 98 4 140

In a series RLC circuit the current is observed to lag the e m f by 45 If the inductive reactance is found to be thrice of the resistance R then the capacitance of the circuit will be frequency of applied emf is f 1 2 1 2xfR 3 4xfR 4xfR 4 2nfR

7 A block of mass m is attached to an undeformed spring of stiffness constant k as shown in figure and released Assume spring string and pulley be ideal The maximum displacement of block is P 1 3 2mg k mg 2k k vooroor 2 mg k 3mg 2k nu

3 Work Energy and Power Two blocks of mass m and 2m are moving towards each other along the same line with velocities 5v and v respectively If the collision is perfectly inelastic the energy lost in the collision is 5v V 1 5 mv E 2m 2 7 mv 33

A point charge Q 5 0 C is kept on the axis of a imaginary ring of radius 1 m as shown The flux of electric field through the ring due to charge Q is 3m O 1 9 x 104 Nm C 3 8 x 104 Nm C O 1 2 x 104 Nm C O 4 4 x 104 Nm C

A body moves along x axis such that it s position is given by x is in seconds Identify correct options St 61 2 x is in meter t b Xmax a The smallest value of x during the motion is x 2 c At t 2 body changes it s direction of motion from ve x axis to ve x axis d At t 3 direction of motion changes from ve x axis to ve x axis 20 dation BY Where V is it s velocity at any

4mm AL C G Circuit P Circuit Q For the solenoids shown in the diagram which are assumed to be close to each other the resistance of the circuit P is increased uniformly with time The current flow through galvanometer G is 1 from B to A and is constant 2 3 from A to B and is constant decreasing and from A to B increasing and from A to B B

Q 7 A ball hits a smooth the same speed as shown in diagram below The changes in the components of the velocity of the ball are TTT 1 1 1 010 1 A V 0 A V 0 2 A V 0 A V 0 X 3 A Vx 0 A V 0 4 AV 0 A V 0

34 Find moment of inertia of a uniform annular disc of mass 100 g having inner radius 10 cm and outer radius 20 cm about an axis passing through its centre and perpendicular to its plane 1 2 5 x10 3 kg m 3 5 x 10 kg m 2 1 5 x 10 3 kg m 4 6 x 10 3 kg m

When an external force is applied at the centre of mass of a rigid body at rest then it undergoes 1 Only translatory motion 2 Only rotatory motion 3 Both translatory and rotatory motion 4 An oscillatory motion