Physics Questions

Energy required to move an Earth s satellite of mass m from an orbit c radius R to 5R is M mass of earth R radius of earth Options GMm 5R 2GMm 3R 2GMm

113 114 1 0 2 0 3 0 4 10 A closed pipe has certain frequency Now its length is halved Considering the end correction its frequency will now become 1 double 2 more than double 4 four times frequency of a closed 3 less than double The fundamental is n Ita

1 For a particular tube there are four of six harmoni frequencies below 1000 Hz are 300 Hz 600 Hz 750 Hz and 900 Hz Find the frequencies missing from list 1 100 200 Hz 3 150 450 Hz 2 150 400 Hz 4 450 800 Hz

A particle moves in the east direction with 15 m see for 2 sec then northwards with 5 m s for 8 sec Average speed of the particle is 01 m s O 5 m s 07 m s O 10 m s Marks 4

An electron of mass m is moving in nth orbit of hydrogen atom Magnetic field at centre due to motion of electron is ro Bohr radius Hohe 1 8x mr n 3 5 Hohe 2 4 mn r 5 3 Hohe 3 4mn5 3 ro he

A stone is thrown with a horizontal velocity of 15 ms from the top of the tower If the stone hits the ground at a distance of 100 m from the foot of the tower calculate the height of the top

35 The energy of a photon is E hv and the momentum of photon is P then the velocity of photon will be 26 3 wha Whiel 2 EP 4

A thin uniform spherical shell of mass m 2 kg and radius R 10 cm is placed on a rough horizontal surface with a coefficient of friction 0 4 A horizontal force F is applied to the spherical shell at a height R 3 above the centre as shown The maximum magnitude of the applied force F for which the spherical shell will be rolling without slipping is take g 10 m s A 20 N C 40 N B 30 N D 60 N R 3 F H 0 4 m R

1 A body is moving with variable acceleration a along a straight line The average acceleration of body in time interval t to t is 2 1 a t t 2 ja dt 3 t 1 a t t 2 4 a dt t t

33 A particle is moving along a circular path of radius 5 m s The average 5 m with a constant speed of 2 acceleration over a quarter circle is 10 1 it 3 5 TC m s m s 2 44 5 2 TC 5 2 m s m s portain height

A uniform solid sphere of mass m and radius R is imparted an 2V0 and then placed on initial velocity vo and angular velocity R a rough inclined plane of inclination 0 and coefficient of friction 2tane as shown The time after which the sphere will start rolling without slipping is A C Vo 2gsin0 Vo 6gsine B D 4gsin0 Vo 8gsin 0 2V R m R Vo 2 tane

A fighter plane is flying horizontally at an altitude 2000 m with speed 720 km h At a particular angle of sight with respect to horizontal when target is seen the pilot drops a bomb in order to attack the target This angle is tan 1 1 2 3 tan 1 1 4 2 tan 1 4 tan 2

Zero Marks 0 In all other cases Three identical air capacitors having plate separation 3 mm each are connected as shown They are charged by applying a potential difference V and then the source voltage is removed When a 3 mm thick slab is introduced between a the plates the distance between the plates is increased by 2 4 mm to maintain same potential difference Find dielectric constant of the slab

Three concentric thin spherical shells are shown in figure Outer most sphere can t radiate in outer space The inner most and the outer most shells are maintained at T K T K respectively Assume the three shells behaves as black body The steady state temperature of the middle Value of x y is shell is T T X y 1 4 3R 2R

In a neutron induced fission of 92U235 nucleus usable energy of 185 MeV is released If a 92U235 is continuously operating it at a power level of 100 MW How long will it take for 1 kg of uranium to be consumed in this reactor O 9 x 104 s 4 2 x 106 s 7 58 x 105 s

Just after release of rod as shown on smooth 2a horizontal track Find the ratio 2 a is acceleration of point A and a is angular acceleration of rod just after release vertical 777 60 A massless string 60 B 60 uniform rod 77 where

A glass prism of refractive index 1 5 is immersed in a liquid of refractive index as shown in the figure A light beam inciden 3 normally on the face PQ is totally reflected to reach the face QR if 1 5 sin 8 sin 8 O sine 0 9 0 0 8 9 34 2 4 3

diffraction grating with 380 lines mm is 1 55 m front of a screen Part A What is the wavelength of light whose first order maxima will be 16 4 cm from the central maximum on the scre Express your answer to three significant figures VAX SWD

A car is moving with a constant velocity 10 m s towards a stationary wall An observer in between the car and the wall is moving with a constant velocity 2 m s towards the stationary wall The car blows a horn of frequency 320 Hz The velocity of sound in air is 330 m s The beats frequency received by the observer is A 2 Hz C 6 Hz B 4 Hz D 8 Hz Vs 10 m s V 2 m s rough

A projectile is projected with a speed an angle 30 with the vertical The speed of the projectile when its direction of motion makes an angle 30 with the horizontal is 1 10 m s 110 12 m s 2 20 m s 4 20 3 m s

A tunnel is dug across the earth of mass M and radius R at a distance R 2 from the centre O of the Earth as shown A body is released from rest from one end of the smooth tunnel The velocity acquired by the body when it reaches the centre C of the tunnel is A 3GM 2R 3GM 8R B D 3GM 4R 3GM 16R C R 2 R

3 10 km s 4 11 2 KM S 3 The ratio of kinetic energy required to be given to the satellite to escape from earth s surface to the kinetic energy required to be given to the same satellite to revolve round the earth in an orbit just above earth s surface is 1 1 1 3 2 1 2 2 1 4 4 1 und garth in a circular orbit at a uniform speed v If gravitational force suddenly

A particle moves along a circle of radius R with speed varies as v aot where ao is a positive constant Then the angle between the velocity vector and the acceleration vector of the particle when it has covered one fourth of the circle is A tan 1 4 C tan B tan D tan 2

Two spherical black bodies made of same material and with the same surface finish have mass M and M and are at temperatures T and T If they are radiating the same power M M mu be 1 T T 6 2 T T 3 T T 6 4 T T

A steel wire of negligible mass length 21 cross sectional area A and Young s modulus Y is held between two rigid walls A small body of mass m is suspended from its middle point O as shown The vertical descent of the middle point O of the wire is 1 3 1 3 A B C mg AY 4mg AY 4 1 3 D 2mg AY 6mg AY 1 3 TTTT N G

An inductor is to be connected to the terminals of a generator rms voltage 11 0 V such that the resulting rms current is to be 0 710 A Determine the required inductive reactance Number Irms L 0000 Vrms

16 A particle is thrown with speed u at projection 0 with horizontal as shown in figure Choose the correct statement y O u A B C X D 1 Average velocity during O to D is ucose 2 Average velocity between A and C is ucose 3 Vertical components of velocities at A and C are a pair of negative vectors All of these

Two thin films of same liquid of surface tension T are formed between a smooth rectangular wire frame and two thin uniform straight wires each of mass m and length I connected to a massless non deformed spring of stiffness k and then the system is released from rest The maximum elongation produced in the spring is A C 2T K 6T K B D 4T K 8T K m l A B mmm D

3 Choose the correct equation of current in the List Il as a function of t through the circuit elem ab of the circuits in the List 1 List 1 List II P O R S 10V A B 30V 1 10V Codes 30V P 3 3 202 www 202 20 202 www 202 www 2Q www www a Q 100 F b 292 www a breeeeee a b 20 www 0 4 mH eeeeee b 200 3 F a 0 6 mH b 0133 R411 S214 1 2 3 4 i 5A 1 e i 5A 1 e i 5A e 2 10 sec i 5A e 4 10 sec 1 2 10 sec 4 10 sec

In the given circuit a charge of 80 C is given to the left plate of 4 F capacitor Then in steady state energy stored inside 2 F capacitor will be 2 F 80 C 4 F 100 J 200 J 150 J 3 F

9 If a particle is moving along a straight line and its velocity varies with time as v 2t t v and t are in Sl units then choose the incorrect option 5 1 Average velocity from t 0 to t s is 2 5 m s 12 2 Acceleration is zero at t 1 s 3 Acceleration is 2 m s2 at t 0 m s 4 A Average speed from t 0 to t 2 sis 3

3 A force F b Vi XN b is a constant acts on a particle as it undergoes counter clockwise x y circular motion in a circle x y 16 The work done by the force when the particle undergoes one complete revolution is x y are in m A Zero C 2 bJ B 2n bJ D None of these

35 For a projectile projected from ground at an angle 0 with horizontal gT where T is time of flight 2R 3 R is horizontal range of projectile g is acceleration due to gravity The angle of projection 0 is 45 41 30 2 60 3 45 4 90

Consider a perfectly conducting disc of radius r in a constar magnetic field B perpendicular to the plane of the disk slidin contacts are provided at the edge of the disc C and its axle C After long time angular velocity will become constant and become equal to current in resistance is i then A A I D Po R ww 11 C B Bor R Bor 2R M 4MgR B r3 2MgR B r3

S 6R ww V b 9R www VV a 3R 9R V t 7RC Current through the cell at time t is Options ww 3 e 1 7RC V c 27 3 e 1 3RC V 2 1 3RC S is closed at t 0 3R

4 4 15 A satellite of mass 200 kg revolves around a planet of mass 5 x 1030 kg in a circular orbit of radius 6 6 x 105 m Binding energy of the satellite is 1 5 x 1015 J 3 1016 J 16 5 x 1015 J 2 4 1016 J Two satellites A and B go round the planet P in circular orbits having radii 4R and R respectively If the speed

9 A satellite is revolving around earth in a circular orbit at a uniform speed v If gravitational force suddenly disappears speed of the satellite will be 1 Zero 3 2v D Mark the correct statement 2 V 4 Infinity

5 A particle is thrown vertically up such that distance travelled by it in 2nd second and 9th second is same Maximum height upto which the particle rises is g 10 m s 1 80 m 42 125 m 3 180 m

A heat engine employing a carnot cycle with an efficiency of n 10 is used as a refrigerating machine with the same thermal reservoirs Then its coefficient of performance is A 3 C 7 B 5 D 9

Matching List Type This section contains 4 multiple choice questions Each question has matching lists The codes for the lists have choices A B C and D out of which ONLY ONE is correct 17 A particle is performing a motion in x y plane at time t r is the position vector of particle at any time t and r 0 is the polar coordinate of that particle at that time t Match List I with List II List I List II P Q R S Codes Motion along straight line along x axis Circular motion along circle whose centre is O and radius is r Simple harmonic motion along x axis whose extreme points are A B and O is mean position only consider motion to the right of point O Elliptical motion along ellipse whose centre is O P 3 A B 3 C 2 Q 1 3 3 R 4 1 4 S 2 2 3 O O 0 P r 0 03 B X P r 0 B X X 1 dr 5 dt 9 2 3 4 dr dt 0 de dt dr 11 0 de dt 0

A uniform circular disc of mass m and radius R is placed on a rough horizontal surface and connected to the two ideal non deformed springs of stiffness k and 2k at the centre C and point A as shown The centre of the disc is slightly displaced horizontally from equilibrium position and then released then the time period of small oscillation of the disc is there is no slipping between the disc and the surface A 2 C 2 5m 7k 5m 11k B 2 D 2 3m 7k 3m 11k m R R 2 ooooooo C 2K 0000000 qu rough

44 A particle is moving with constant speed 10 m s in x y plane as shown in the figure The magnitude of its angular velocity about origin at this instant is x and y are in m 012 der y 4 1 1 4 rad s 2 1 2 rad s 3 1 6 rad s WZD 205 10 m s 5 3 33 X 3 28 33 25 0 83 S 1 10 t g t E

A particle of mass m is released on a smooth track in vertical plane which transforms into a circular arc of radius R The reaction force exerted at the bottom most position will be m A 4R O mg O 7mg 8mg O 9mg R

A ball of mass m is attached to the lower end of a vertical string whose upper end is fixed An identical ball B moving with a velocity vo 6 m s at an angle 0 45 from vertical collides elastically with the ball A as shown The velocity of the ball B just after collision is A 5 m s B 4 m s C 3 m s D 2 m s A m 0 45 B m V 6 m s

Mark the correct statement Escape velocity does not depend on mass of body ii If total energy of a satellite becomes positive it escapes from earth Orbit of geostationary orbit is called parking orbit iii 1 i only 3 i ii and iii 2 i ii only 4 i iii only

A small body of mass m is placed at the top of a smooth sphere of radius R placed on a horizontal surface as shown Now the sphere is given a constant horizontal acceleration ao g The velocity of the body relative to the sphere at the moment when it loses contact with the sphere is A C gR 3 5gR 3 B D 2gR 3 7gR 3 ao g

A car travels with speed 3 m s 1 for the first half distance of the journey and with speed 6 m s 1 for the remaining half What is the average speed of the entire journey NCERT Pg 42 1 6ms 1 3 9 m s 1 2 18 m s 1 1 1 m s 1

Charge 2Q and 3Q are given to inner and outer plates of a spherical capacitor having inner radius a and outer radius 2a Total electrostatic potential energy stored in the spherical region a 2a is 2a O Ta a 2Q 3Q Q 2 a

Sri Chaitanya IIT Academy 20 12 15 Sr IPLCO Jee Adv 2011 P2 Q Paper 40 An ideal gas undergoes a reversible cyclic process according to the graph P is pressure V is volume W is work done by the gas AU is change in internal energy of the gas and Q is heat given to the system of gas Column I A For process AB B For process BC C For process CD D For process DA P V V Column II P AU 0 Q 0 Q AU 0 Q 0 R QXAUXW 0 S QXAU 0

A block of mass 2 kg is kept on a truck moving with a constant acceleration The height h of the block is 60 cm and its width w is 15 cm The surface between the block and the truck is sufficiently rough to prevent slipping The minimum acceleration of the truck at 77 which the block will topple is take g 10 m s A 2 5 m s C 4 5 m s B 3 5 m s D 5 5 m s