Kinematics Questions and Answers

In a region magnetic field along x axis changes in periodic manner as shown in figure If a particle of mass m and charge q is projected from origin with velocity vo at an angle with positive direction of x axis in xz plane If the time taken by the particle to rotate by 27 is To then mark the correct statement s B Bo Bo To 2T 3To 4To B The position of the particle at t 2 A The particle s trajectory repeats its shape after every 2To seconds To vo cos xT 2mv sin 0 1S qBo 2 5T C The position of the particle at t o is t s 4 v cos x5T mv sin 0 mv sin 4 qBo qBo D The two extreme position of particle from x axis are at separation projection on yz in O

Suppose the charge of a proton and an electron differ slightly One of them is e the other is e Ae if the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance much greater than atomic size apart is zero Then Ae is of the order of Given mass of hydrogen atom mh 1 67 x 107 27 kg 23 a 107 C c 10 47 C b 10 37 C 20 d 10 C NEET 2017

Figure shows top view of a boat moving with velocity v 81 63 m s relative to water Water flows with velocity v 21 m s relative to ground A motor cyclist moves along a road running parallel to bank with velocity 201 m s An apple thrown from boat is caught by motor cyclist in same horizontal plane after 4 see of projection If apple is thrown with velocity v i v j vk relative to boat fill value 1 10 1 of 13 60m

decimal place e g 06 25 07 00 00 33 00 30 30 27 27 30 A stone is projected towards a wall at any angle 8 with the horizontal The wall is at a distance of 80 m from the point of projection What should be minim speed in m s of projection so that the stone can hit the wall g 10 m s

5 A body of mass 32 kg is suspended by a spring balance from the roof of a vertically operating lift an going downward from rest At the instants the lift has covered 20 m and 50 m the spring balanc showed 30 kg 36 kg respectively The velocity of the lift is A Decreasing at 20 m increasing at 50 m B increasing at 20 m decreasing at 50 m C Continuously decreasing at a constant rate throughout the journey D Continuously increasing at constant rate throughout the journey E Remaining constant throughout the journey

1 The angle of tilt of the car when braking Figure is a 3 Center of mass is located at an equal distance from the front and rear wheels at a height h 0 4 m above the ground Coefficient of friction is The distance between the axes is 6h Spring constant of all the springs is same and the springs are THAN such that the stationary car on level ground has their deflection as 10 cm Fill u in OMR sheet Take 3 14

If the radii of circular paths of two particles are in the ratio of 1 2 then in order to have same centripetal acceleration their speeds should be in the ratio of 1 1 4 2 4 1 3 1 2 4 2 1

A body is projected upwards with a velocity of 30 m s Find a the time when its velocity will be 5 m s b the time when it will be 20 metres above the point of projection and c the time when it will return to the point of projection

A truck moving at 36 km h has to be brought to rest applying brakes in such a way that there is no relative dis placement of the goods in the truck with respect to the truck floor Coefficient of friction between the goods and the truck floor is 0 2 Find the minimum distance the truck must move 25 5 m before it comes to rest

Three particles starts their motion from the origin at the same time the first moves with a velocity U1 along the x axis the second moves along the y axis with a velocity U2 and the third along the straight line y x Then the velocity of the third particle so that all the three

A swimmer has to cross 1 A flowing river and 2 A still swimming pool of same width If he goes for minimum time then in which case it will take less time to cross 1 River crossing 2 Swimming pool crossing Same time in both 4 Data insufficient 100x4 G B ho

a bent tube was submerged in a torrent of water as shown in the figure The speed of the current wit respect to the shaft is 2 5 The top of the tube is 12 degrees above the stream water level and has a small hole How high will the jet of water that comes out of the hole go up

45 Two particles starting from the same point O at the same time and moving along the same straight line are at distances x 5t 11 t metres and x 7t 3t metres respectively from O after t s from start a When will they have the same speed b When will they meet c What will be their velocities accelerations and distance from O when they meet a t 2 s b t 4s c 51 and 59 m s 10 m s 14 m s x x 124 m

A body is moved along a straight line by a machine delivering a constant power The distance moved by the body in time t is proportional to 1 3 4 3 t 4 2 t3 2 4 t 2

5 Blocks A and B are of masses 10 kg and 30 kg respectively are placed in a 30 inclined plane as shown in figure The coefficient of friction between block A and the plane is 0 25 and between the block B and the plane is 0 15 What is the force between them as they slide down What is the acceleration of blocks B 30

9 A solid disc of radius 10 cm are placed on a horizontal table rough with initial angular speed equal to 10 rad s 1 If coefficient of kinetic friction between disc and table is 0 2 then time taken by the disc to start pure rolling will be NCERT Pg 181 1 S 2 S 3

a certain point the potential and kinetic energies of a body of mass 4 kg projected vertically up are 200 J 600 J respectively The maximum height reached by the body and the velocity with which it is rojected from the ground are 20 m 20 m s 20 m 10 m s 10 m 20 m s view 10 m 10 m s English I

Attempt All 35 questions At a certain point the potential and kinetic energies of a body of mass 4 kg projected vertically up are 200 J 600 J respectively The maximum height reached by the body and the velocity with which it projected from the ground are 20 m 20 m s 20 m 10 m s 10 m 20 m s 10 m 10 m s

1 Two bodies of mass 4 kg and 6 kg are tied to the ends of a massless string The string passes over a pulley which is frictionless see figure The acceleration of the system in terms of acceleration due to gravity g is a g c g 5 b g 2 d g 10 4 kg 6 kg NEET 2020

Three blocks A B and C each of mass 2 kg are hanging over a fixed pulley as shown The tension in the string connecting B and C is estion Type Single Correct Type 1 2 3 Zero 3 3 N 13 3 N A B 10 6

There is a high speed rail track between London and Manchester The length of this track is 210 miles A train departs London at 11 20 and arrives in Manchester at 13 28 The train company claims the average speed of this train is 104 miles per hour Is the average speed of this train 104 miles per hour

3 0 55 m 3 0 77 m 9 9 8 A bullet of mass 12 g and moving with horizontal speed of 100 m s 1 strikes a block of wood of mass 348 g and instantly comes to rest with respect to block The block is suspended from ceiling by means of a thin wire The height through which block rises is 7 The notion of potential e 6 of NCERT Pg 137 only to VIJO 4 Dh 2 0 88 m 4 1 22 m 5 011 47623456 Work Energy theorem is us problems It is an integral law Potential energy is stored of body forces against the forces gets Aakash Educ

Two different balls of masses m and m are allowed to slide down from rest and from same height h along two smooth inclined planes having different angles of inclination a and B Then A the final speed acquired by them will be the same B the final speed acquired by them will be different C the times taken by them to reach the bottom will be the same D the times taken by them to reach the bottom will be in the ratio sin sina h m B

Attempt All 35 questions t a certain point the potential and kinetic energies of a body of mass 4 kg projected vertically up are 200 J 600 J respectively The maximum height reached which it is projected from the ground are 20 m 20 m s 20 m 10 m s 210 m 20 m s 10 m 10 m s

13 Figure shows x t y t graph of a particle moving in 13 farger fafanta fa and gu x t y t fi two dimensions 1 2m 1m 1s 2s Yomit 2 12 N along X axis 3 1 N along Y axis 4 3 N along Y axis 1s 2s 00 If the particle has a mass of 0 5 kg find the force acting on the particle assume y t graph as parabola 1 8 N along X axis Yom 4 34 Lu 2 1 1s 2s 35 2m 1m 0 af 0 5 kg y t 1 8 N X fee 2 12 N X 3 3 1 N Y 4 3 N Y 3 aferen yfee aferen 1s 2s 36 1 00

s 6 12 18 24 30 In which of the following situations the weight reported by a weighing machine inside the elevator will be greater than the true weight of the body OPTIONS MARK FOR REVIEW CLEAR SELECTION A Elevator speeding up in upward direction OB Elevator speeding up in downward direction OC Elevator moving up with constant speed D Elevator moving down with constant speed

A projectile is projected with initial speed 10 m s at an angle 37 with the horizontal The speed of projectile at its maximum height will be OPTIONS MARK FOR REVIEW CLEAR SELECTION OA 10 m s B 4 m s C 6 m s A

02 3 2 4 Non zero magnitude arbitrary direction To a person moving with a speed of 5 m s towards east rain appears to be falling vertically downward with speed 5 3 m s The actual velocity of rain is NCERT Pg 69 1 10 m s at 30 with vertical 2 20 m s at 30 with vertical 3 10 m s at 60 with vertical 1 20 m 60 with vertical 1 22 km h 2 12 km h 3 35 km h 4 26 km h 7 In uniform c acceleration 1 Due to cl only

16 A projectile is projected with initial velocity 10 20 m s from the ground The velocity of the body just before hitting the ground is NCERT Pg 79 1 10 20 2 10 20 3 101 201 4 107 201 19 A man can swimw still water How lor river 1 0 km wide steadily at 3 km h normal to the river 1 20 min 2 30 min 12 min 4 15 min

18 08 2021 The resistance in the two arms of the meter bridge are 502 and R2 respectively When the resistance R is shunted with an equal resistance the new balance point is at 1 6 The resistance R is no AL 50 2 150 RQ 100 B 3 200 4 250

3 tan 5 4 tan 5 40 The equation of motion of projectile is 2 x 3 y 4x horizontal range of the projectile and maximum height at tained by the projectile are respectively 1 12 m 16 m 2 16 m 12 m 3 12m 12 m 4 12m 8 m 40 A 3 7 4 3 tan y 4x 5 bullets with same speed u cover some area on 1 aga x 3 1 12 m 16 m 2 16 m 12 m 3 12m 12 m 4 12m 8 m 4 tan 5 toor 1 2 2 Thi RI V huy gr

11 A boy is standing on an open lift moving upwards with speed 10 m s The boy throws the ball with speed w r t lift is 24 5 m s In how much time the ball returns to the hand of boy g 10 m s 1 10 s 2 4 9 s 3 7 5 s 4 6 s NCERT Pg 59 1 4 0 km h 3 4 5 km h 4 Q 14 Two trains P and Q of 500 m are moving on two with a uniform speed of 7 direction with Q ahead train P decide to over accelerates by 2 0 m s guard of P just brushes p then the original distance is 2 1 450 m 3 800 m 2 ash To

15 Equation of trajectory of projectile is y 3x 5x Then angle of projection with vertical is Assume x axis as horizontal and y axis as vertical NCERT Pg 78 1 45 2 30 3 60 4 53 16 A projectile is projected with initial velocity CAMERA The Martin 110 20 ill 18 The correct stat is 1 It is conserv 2 It can never 3 It does no another in s It has the sa with differer 19 A man can swir

ation vs position graph is shown for a particle initially at rest Velocity of the particle when displacement is 100 m is a m s 1 3 6 3 O 20 2 m s 30 m s 169 50 150 2 4 S m 10 6 m s 80 m s

Two particles start with velocity v in opposite direction and accelerated in the same direction with equal magnitude Throughout the motion the relative velocit of first particle with respect to other is Zero First increases then decreases First decreases then increases Constant

ing WS In S 13 A man walks on a straight road from his home to market 2 0 km away with a speed of 4 0 km h The stays in the market for 30 minute for purchasing and returns to home with a speed of 6 km h The magnitude of average speed of whole journey NCERT Pg 57 1 4 0 km h 2 3 0 km h 3 4 5 km h 4 3 5 km h 14 Two trains P and Q of length 300 m and 4 80H 16 Two st a cliff 3 and 20 best re positio first st negle I DUA L

4 Non zero magnitude arbitrary direction To a person moving with a speed of 5 m s towards east rain appears to be falling vertically downward with speed 5 3 m s The actual velocity of rain is NCERT Pg 69 1 10 m s at 30 with vertical 2 20 m s at 30 with vertical 3 10 m s at 60 with vertical 4 20 m s at 60 with vertical A vector can be resolved NCERT Pg 70 7 1 22 km h 2 12 km h 3 35 km h 4 26 km h In uniform circular mot acceleration is 1 Due to change in m only Due to change in only

Physics Sec 3 Maximum Marks 24 This section has 6 questions The answer to each question is a NUMERIC TYPE which can be upto 2 decimal places Marking scheme 4 if the correct numeric answer is typed in the provided space o 0 in all other cases A A boat which has a speed of 5 km hr in still water crosses a river of width 3 km along the shortest possible path in t min The riv flows at the rate of 3 km hr Find the time taken t

Angle of projection for the maximum horizontal range of a projectile 45 if the point of projection and the point of landing are in the sar horizontal level Determine the angle of projection for the maximu horizontal range of a projectile if a the point of landing is at a height h above the point of projection

Block A of weight 200 N connected to block B of weight w using a rope that passes over a fixed cylinder as shown in figure Determine minimum weight of block B for which no motion occurs Assume coefficient of static friction between the rope and the cylinder as 0 2 and between the block A and horizontal surface as 0 3 A 140 N

1 A particle of mass 1 kg is projected with a speed of 2 m s at an angle of 37 with the ground a t 0 The angular momentum of the particle about the point of projection at t 0 15 s is 2 2 0 36 kg m s 1 4 0 18 kg m s 1 1 0 25 kg m s 1 3 0 15 kg m s 1

ECTION C VELOCITY ACCELERATION AVERAGE ACCELERATION 1 The position of a body is given by x At 4Bt where A and B are constants x is position and t is time Finc a acceleration as a function of time b velocity and acceleration at t 5s 15JP110545

If a monoatomic gas is compressed adiabatically to 1 27 th of its initial volume ther its pressure becomes A 27 times B 125 times C 243 times D 81 times E 64 times

Question No 3 Phy Section A This section contains 35 SINGLE CORRECT TYPE questions Each question has 4 choices 1 2 3 and 4 out of which only one is correct A particle thrown up vertically reaches at half of the maximum height in 2 1 s The speed of projection of the particle is g 10 m s O 5 2 m s O 10 m s 40 m s O 10 2 m s

If ne and v be the number of electrons and drift velocity in a semiconductor When the temperature is increased A ne increases and decreases B ne decreases and increases C Both ne D Both ne and Vd and Vd Vd increases decreases 30 43

The position x of a particle moving along a straight line varies with time according to the relation x 6t 5t where x is in meter t is in second The initial velocity of the particle at t 0 is O 6m s O 5m s O 5m s

0 M msin 0 5 V 1 ms 1 1 V 3 ms 3 Let the velocity of c is v3 downward w r t B Then V V v V V3 0 1 N 2 M msin 0 V3 2 V v 2 3 1 4 ms Net velocity of C 3 V 1 ms 1 A 2 1 4 5 ms V 3 m s 4 3 C V3 B

Displacement is defined as the change in position of an object It is a vector quantity and has a direction and magnitude It is represented as an arrow that points from the starting position to the final position Type something sir here teacher explained that When a body moves north pole from south pole of Earth then it s displa cement is the Diameter of Earth bur I want to say that we are unable to t ake that way diameter of earth hence IC

4 u cos 0 c 4 u cos 0 u projectile is projected with a linear momentum p making 8 ama dan patun tem agle 0 with the horizontal The change in momentum of Street dan i ufada projectile on return to the ground will be 2p p cos 0 sin 0 tan 0 2 musin e 10 wong masu 1 2p 2 2 p cos 0 3 2 p sin 0 4 2 p tan 0 16 Gays 34x715 98 Ch Shang Hy he

If x is displacement time taken is t initial velocity u final velocity is v and acceleration is a then whi of the following equations is true 2x v u t x v u t 2x v u t 2x v u t