Physics Questions

A bullet of mass m is fired horizontally into a large sphere of mass M and radius R resting on a smooth horizontal table m M A The bullet hits the sphere at a height h from the table and sticks to its surface If the sphere starts rolling without slipping immediately on impact then 2013 h 4m 3M R 2 m M C 6 h R 10m 7M 5 m M B D h R T 2R m M m 2M h 4m 3M m M R

A solenoid 1 5 m long and 0 4 cm in diameter possesses 10 turns per cm length A current of 5 A flows through it The magnetic field at the axis inside the solenoid is 1 2 x 10 T 2 2 10 T 3 4x 10 T 4 4 x 10 T

Forces acting on a particle have magnitudes of 14 7 and 7 N acts in the direction of vectors 61 2 3k 3 2 6 k and 2 3 1 6 krespectively The forces remain constant while the particle is displaced from point A 2 1 3 to B 5 1 1 Find the total work done in Joule on the particle The coordinates are specified in meters

Answer Q No 4 and 5 by appropriate matching the lists based on the information given in the paragra pole of a silvered equiconvex lens as shown List I contains speed of image v with respect to object focal leng A small lateral object initially at a distance of 30 cm start moving at t 0 with initial velocity 5 m s toward n of above mirror magnitude only and magnification m of object List 1 V in cm s II Nature of image 1 III f in cm t IV Magnification magnitude only 5 m s 30 cm 3 2 R 10 cm List II P 2 5 Q Less than one 410 81 R 610 S 121 T Real U Virtual For the shown above arrangement choose the correct option for time t 0

0 375 x 18 x 10 6 7 5 x 10 joules A magnetic dipole of magnetic moment M is placed on the axis of a current carrying circular la of radius R at a distance x from the centre Find the force acting on the dipole

Two identical wires A B have the same length L carry the same current I Wire A is bent into a circle of radius R and wire B is bent to form a square of side a If B B are magnetic induction at the centre of the circle and the centre of square respectively Then B B is 1 2 3 8 8 2 16 4

In the circuit in figure we have 2 100V R 200 R 10 Q R3 400 and R2 R4 30 Q Find the reading of the ammeter in A Disregard the resistance of the battery and the ammeter 182 A 1 04 R R R Question Type Numerical Type R

Two bodies A and B masses 10 kg and 15 kg 36 respectively kept on a smooth horizontal surface are tied to the ends of a light string If T represents the tension in the string when a horizontal force F 500 N is applied to A as shown in figure 1 and T be the tension when it is applied to B figure 2 then which of the following is true 10 kg A F 500 N 10 kg 1 T T 500 N 2 T T 250 N 3 T 200 N T 300 N 4 T 300 N T 200 N 15 kg B 15 kg B F 500 N 10 kg a 15 kg a fe f in I F 500 Na F 500 N 2 1 10 kg A 10 kg 1 T T 500 N 2 T T 250 N 3 T 200 N T 300 N 4 T 300 N T 200 N 15 kg B 15 kg B F

The rms value of an alternating current which when passed through a resistor produces heat three times of that produced by a direct current of 2 A in the same resistor is 1 6 A 2 3 A 3 2 A 4 2 3 A

A small boy is throwing a ball towards a wall 6 m in front of him He releases the ball at a height of 1 4 m from the ground The ball bounces from the wall at a height of 3m rebounds from the ground and reaches the boy s hand exactly at the point of release Assuming the two bounces one from the wall and the other from the ground to be perfectly elastic how far ahead of the boy did the ball bounce from ground 2013 A 1 5 m C 3 5 m B 2 5 m D 4 5 m

The electric and the magnetic field associated with an e m wave propagating along the z axis can be represented by 1 E Eoi B Boj 2 E Eok B Boi 3 E Eoj B Boi 4 E Eoj B Bok

A string of length L and mass M is lying on a 40 horizontal table A force F is applied at one of its ends Tension in the string at a distance y from the end at which the force is applied is 1 zero 2 F 3 4 F L Y L F L Y M A 1 2 F 3 4 F L Y L F L Y M de y

A person of mass 60 kg is inside a lift of mass 940 kg 37 and press the button on control panel then lift starts moving up with an acceleration 1 0 metre per second square if g is equal to 10 metre per second square the tension in the supporting cable is 1 8600 N 2 9680 N 3 11000 N 4 1200 N 60 kg 94 fan for an add a Haus derd fa g 10 af farz ach ted 1 8600 N 2 9680 N 3 11000 N 4 1200 N

E CAPS 08 A Physics 13 For the situation shown in the figure mark the correct statements A is a uniform thin conducting shell of radius R 3R B R A C H 2 3 ANSWERS

In the arrangement shown the pulleys are fixed 30 and ideal the strings are light m m and S is a spring balance which is itself massless The reading of S in unit of mass is S m 1 m m 3 m1m2 m m m 2 m 2m m2 m m fa 314 m m 3 fa 1 m m fe enrer z HER fer s m1m2 m m GHE S 2 4

a large iron block rapidly back and forth She com pares that to her moving it on earth on a smooth horizontal surface She finds that 1 the shaking costs her no effort because there is no weight of block 2 the shaking costs her some effort but consid erably less than on Earth 3 the effort required is same is that on earth the shaking costs hor

5 In single slit diffraction wavelength used is 5000 A slit width is 0 2 mm and distance between slit and screen is 2 m The distance of first secondary minimum from principal maximum is 1 2 5 mm 2 3 mm 3 4 5 mm 4 5 mm

Mass of Calculate the dc collector voltage V with respect to ground in the amplifier circuit shown in the figure The current gain B for the transistor is 200 6k HH 3kn 1 9V 0 7V 4kQ 2 3ks Vc

SINGLE CORRECT ANSWER TYPE A body of mass m is lifted from ground by a force which varies with height h as F 2 1 bh mg here b is constant Work done by this force over the first half distance of the ascent of body A 5mg 2b Fricuse B 3mg 8b C 3mg 4b D 10 mgb

5 A train of length 300 m travelling at 30 m s 1 crosses another train of length 200 m travelling at 20 m s 1 in opposite direction Time taken by first train to pass the second train is 1 10 s 2 30 s 3 50 s 4 2 s

The diagram below shows the horizontal forces 33 af 20 0 kg on a 20 0 kg mass The force are constant in time If the mass starts from rest how far has it traveled in the horizontal direction after 3 00s 70 0N 100 0N 1 4 50 m 2 6 75 m 3 9 00 m 4 25 5 m 20 0 kg GO FORTHERN grund af fem fandt and 70 0N 100 0 1 4 50 m 2 6 75 m 3 9 00 m 4 25 5 m 20 0 kg

ALLEN A train has 10 wagons each of mass 1000 kg 34 attached to it They are being pulled by force 10 N Find out force exerted on last four wagons 1 4 10 N 2 4 10 N 3 5 10 N 4 5 10 N test for 10 of 1000 kg 10 N 1 4 10 N 2 4 10 N 3 5 10 N 4 5 10 N

A uniform but time varying magnetic field exists in cylindrical region and directed into the paper If field decreases with time and a positive charge is placed at any point inside the region then it moves 1 along 1 3 along 3 X 3 x x2 X C 2 along 2 4 along 4

4 6 mg Two blocks of masses 2 kg and 1 kg are in 28 contact with each other on a frictionless table When a horizontal force of 3 N is applied to the block of mass 2 kg the value of the force of contact between the two blocks is 1 4N 3 5N 2 3N 4 IN 4 6 mg for the 2 kg 1 CH CH TET HUY m HUB J EN CHRIF 1 4N 3 5N 2 3M 4 IN

A particle is projected up with an initial velocity of 80ft sec The ball will be at a height of 96 ft from the ground after given g 32 82 b Only at 3 0 sec d After 1 and 2 sec 2 0 and 3 0 sec c Only at 2 0 sec

Objects A and B each of mass m are connected by a light in extensible cord They are constrained to move on a friction less ring in a vertical plane as shown in fig The objects are released from rest at the positions shown The tension in the cord just after released will be B mg A mg C

In a lab experiment with standing sound waves the sound with the frequency 1200Hz generated a resonance in a tube open on one side closed on the other when the tube length was set to 65 0 cm 78 5 cm and 94 0 cm but no lengths between What sound velocity in the air indicated the measurements Do not forget the estimate of the margins of error

1 3 n m m m m m Two blocks each of mass M are placed on a 31 smooth inclined plane as shown in figure Then M M B 160 30 1 block A moves down the plane 2 block B moves down the plane 3 both the blocks remains at rest 4 None of the above 3 1 2 3 4 m m at action uch fa fa facrI TRI DE M At site and B site and art

A monkey of mass 40 kg climbs a rope Fig 1 58 which can stand a maximum tension of 600 N In which of the following cases will the rope break The monkey a climbs up with an acceleration of 6m s 2 b climbs down with acceleration of 4 m s a an c climbs up with a uniform speed of 5 m s 1 Fig 1 58 d falls down the rope nearly freely under gravity ignore the mass of the rope NCERT Ans a T 400 240 T 640 N b 400 T 160 T 240 N c T 400 N d T 0 The rope will break in case a

43 A 0 5 kg ball moving with a speed of 12 m s strikes a hard wall at an angle of 30 with the wall It is reflected with the same speed and at the same angle If the ball is in contact with the wall for 0 25 seconds the average force acting on the wall is 30 30 1 48 N 2 24 N 3 12 N 4 96 N If the blocks are placed on smooth plane as 44 0 5 kg 12 m s f 30 a and af da d at da 30 30 1 48 N 2 24 N 3 12 N faut

a A thin conducting wire carries a current I and lies along the x axis from 1 0 0 to x 0 0 Using Biot Savart s law DO NOT USE standard formula find the direction and magnitute of the magnetic field B at a point 0 3 0 due to a length element dll on the wire b Using this expression find the magnetic field at the same point due to the whole wire

Three blocks of identical masses are connected by 29 41 CH strings as shown The whole system is accelerated to the right on a frictionless horizontal surface by a horizontal force F The net force acting on the middle block is 1 zero 3 2F 3 2 F 4 F 3 fed f cata fara sa 1 3 2F 3 2 F 4 FA

4 1200 N Frictional force on the 2 kg block is 1 5 N 2 zero 3 2 5 N 4 5 3N In 2kg 30 0 5 1kg 38 4 2 1200 N 1 5 N 2 zero 3 2 5 N 4 5 3N 2kg H 0 5 30 III WY 11

Apparent weight of a man of mass 50 kg in a lift 41 is 600 N Lift is accelerating upward Calculate acceleration of lift 1 3m s 2 2 5m s 3 Im s 4 2m s 50 kg 600 N fa fa 1 3m s 2 2 5m s 3 1m s2 4 2m s

The force F acting on a particle of mass m is 39 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 IMA 34 F 1 24 Ns 3 12 Ns 2 20 Ns 4 6 Ns t s BE A t 8 2 2 1 24 N 3 12 Ns 8 2 20 Ns 4 6 Ns

1 A body released from height h takes time t to reach the ground After time t 2 its height from the ground is h 3h h 3 h A B 4 2 Which of the following is correct A Distance 2 Displacement 21 Distance Displacement D B C Both A B D None

and m3 are connected to massless strings as shown on a frictionless table They are pulled with a force T3 40N If m m T 6kg and m3 4kg the tension T 2 will be 10kg m2 m T m3 T3

ree point charges lie in the x y plane as shown in the diagram below 91 65 5 and is located at the origin 42 and located at m ar 0 93 15 3 C and is located at x 1 41 m and y 2 61 m A force diagram showing the forces acting on q and a coordinate system are given in the agram y m F21 31 1 T 92 x m 9 Iculate the y component of the net electrostatic force acting on q due to charges q 2 and 93

Two satellites are in different circular orbits around a planet with speeds in ratio 1 2 One satellite does an amount of work on the other satellite resulting in both satellites moving in the same circular orbit midway between the two earlier orbits What is the ratio of their masses larger smaller

2 A vertical U tube is completely filled with a liquid of density p The inner cross section area of each of the vertical arms of the U tube is S total volume of both the arms is Vo and volume of bottom arm is negligible Both the ends of the tube are of the same height One of them is open to the atmosphere and the other one is hermetically connected to a flask of volume Vo filled with an ideal mono atomic gas Find the amount of heat which must be given to the gas to drive slowly half of the liquid out of the tube The atmospheric pressure is constant and equal to po Pressure of liquid vapors effects of surface tension and heat loss to the environment are negligible Acceleration due to gravity

If the 16 kg ball has a velocity of 3 m s when it is at the position A along the vertical path determine the tension in the cord and the increase in the speed of the ball at this position Figure 1 igure 2m 8 45 3m s 1 of 1 Part Dete Expr T Su Part Dete Expr a

A 01 24 An electron a proton an a particle and a hydrogen atom are moving with the same kinetic energy the associated de Broglie wavelength will be longest for B Proton C a particle A Electron 25 The radius of the 4th orbit of the electron will be smaller than its 8th orbit by a factor of A 2 B 4 C 8

In the figure shown the masses of each of the pulley disc is m They were at rest All the threads are light and inextensible Now the thread is cut at A Denoting the acceleration of the discs as a a2 a3 a4 respectively match the correct value of acceleration v thereafter List I 1 11 a2 III a3 IV a4 a List II P Q R S T U I R II S III T IV T OI R II S III R IV R OI U II T III U IV U OI R II Q III R IV R 0 m s 10 m s 60 7 m s 90 7 m s 4 m s 2 m s www A 2 3 A

Latin A phonon with wave vector gets absorbed on collision with an electron of wave vector k The electron is considered free and its energy is much larger than that of the phonon If the electron is scattered at an angle a show that 2 in g 2k 2 31

Calculate the minimum kinetic energy that the neutron should have in order to induce the reaction 0 6 n He C in which C is left in an excited state of energy 1 79 MeV Given Mass of 016 16 000000 simu NDEAVOUR Mass of n 1 008986 amu Mass of He4 4 003874 amu Mass of C13 13 007490 amu

The amplitude of upper and lower side bands of A M wave where a carrier signal with frequency 11 21 MHz peak voltage 15 V is amplitude modulated by a 7 7 kHz sine wave of 5V amplitude are Vand V respectively Then the value of is a 10 10

6 A particle of mass 2 kg is moving along x axis at time t Its position is given as x t2 The work done by the force acting on it in time interval t 0 s to 5 s is 1 900 J 3 120 J 2 150 J 4 100 J

Two concave refracting surfaces of equal radii of curvature face each other in air as shown in figure A point object O is placed midway between the centre and one of the poles Then the separation between the images of O formed by each refracting surfaces is 1 1 5 glass 1 11 4 R 3 0 114 R n 1 5 glass 2 1 14 R 4 0 0114 R

A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated P by the metal The sensor has a scale that displays log2 P Po where Po is a constant When the metal surface is at a temperature of 487 C the sensor shows a value 1 Assume that the emissivity of the metallic surface remains constant What is the value displayed by the sensor when the temperature of the metal surface is raised to 2767 C 2016

Three students S S2 and S3 perform an experiment for determining the acceleration due to gravity g using a simple pendulum They use different lengths of pendulum and record time for different number of oscillations The observations are as shown in the table Student No 123 3 Length of No of Pendulum cm 64 0 64 0 20 0 oscillations n 8 4 4 Total tim for n oscillation 128 0 64 0 36 0 Least count of length 0 1 cm and Least count for time 0 1 s If E E2 and E3 are the percentage errors in g for students 1 2 and 3 respectively then