Basic Physics Questions and Answers

An electric field in a certain region is radially outwards from origin and has a magnitude equal to A 2 where is distance from the origin The charge contained in a sphere of radius R centered around origin is O 4 E AR7 2 4TE AR5 2 O 6TE AR O 2 AR3 2

Particle is projected with a unknown velocity at an angle of 45 with horizontal It grazes the top of a pole at a distance of 4m from the point of projection and falls 6m behind the pole Height of pole is given 4n by in m Find the value of N 10

02 03 04 05 06 07 08 09 10 Figure shows three vectors a b and c where R is the mid point of PQ Then which of the following relations is correct P 01 1 a b 2c Question Type Single Correct Type 2 a b a 3 a b 2c R Q

Two square plates of capacitor are of length plates material 32 cm each Between the the having thickness 640 um is sandwiched whose dielectric strength is 20 MV m The maximum charge that can be put on the capacitor is Permittivity of free 5 space 9 10 12 SI unit dielectric constant of material is 4 A 4 6 C C 73 7 C B 5 C D 18 4 C

A tall tower is built from alike tubes which have thin walls and from rectangular sheets which have negligible mass with respect to that of the tubes as shown in the figure rectangular sheets are numbered from bottom as S S S3 Static friction is big enough such that the tubes does not slip The radius of each tube is 1 cm 7 The minimum distance by which S should be pulled towards right so that the tower collapses is A 2cm C 4cm B 3cm D 5cm 20 cr cm

The following results show the percentage of the total available interstitial water recovered by centrifuging samples taken at different depths in sandstone Depth of sample m 7 8 16 23 Water recovered 33 3 43 6 73 2 68 7 72 5 33 3 35 7 38 1 31 0 45 2 47 7 45 4 43 8 73 6 70 9 72 5 70 4 65 2 66 7 77 6 33 3 46 5 74 5 69 8 Wheatstone K G and Getsthorpe D 1982 Analyst 107 731 Show that the percentage of water recovered differs significantly at different depths

Ann is sitting on the edge of a carousel that has a radius of 6 m and is rotating steadily Bob is standing still on the ground at a point that is 12 m from the centre of the carousel At a particular instant Bob observes Ann moving directly towards him with a speed of 1 ms 1 With what speed does Ann observe Bob to be moving at that same moment

The ball A collides elastically with an identical ball B with a speed v The ball B touches another identical ball C The velocity of C after the impact is equal to Av B m A v C v 4 m C m B v 2 D None of these

Consider a region of cylindrical magnetic field changing with time at the rate x A triangular conducting loop PQR is placed in the field such that mid point of side PQ coincides with axis of the magnetic field region PQ 2l PR 2l Emf induced in the sides PQ QR PR of the loop are A xl 0 xl xl 3xl B 0 X X X X P X X Sex X X PX R X X C 0 xl xl 3 D 0 xl xl

Hy y On 29 If the coefficient of friction between an insect and bowl is u and the radius of the bowl is find the maximum height to which the insect can crawl up in the bowl So The insect will crawl up the bowl till the component of its weight along the bowl is balanced by limiting frictional force So resolving weight perpendicular to the bowl and along the bowl i R mg cos 0 f mg sin 0 Dividing ii by i tan0 R r y A h r y or or tan 0 R y r 2 1 4 1 1 u

23 Passengers in the jet transport A flying east at a speed of 800 kmh observe a second jet plane B that passes under the transport in horizontal flight Although the nose of B is pointed in the 45 north east direction plane B appears to the passengers in A to be moving away from the transport at the 60 angle as shown Then what is the true velocity in km h of B 24 A point P moves in counter clockwise direction on a circular path as shown in the 450 605 B A

ALLEN A heavy brass sphere is hung from a spring and 11 it executes vertical vibrations with period T The sphere is now immersed in a non viscous liquid with a density 1 10 th that of brass When set into vertical vibrations with the sphere remaining inside liquid all the time the time period will be 2 10 9 T 4 T 1 9 10 T 3 9 10 T del fin den anden en T 1 10 PA BI 24 a feel muiden za 4 rad gu za 2 10 9 T 14 Gr a cadena 1 9 10 T 3 9 10 T 4 T

A rod of length 1 m rotates about one of its end points with an angular velocity 2 rad sec in a plane perpendicular to the magnetic field B 2T as shown in the figure Then find magnitude of electric field in Sl unit at the mid point of the rod X X X X X X X 1m x x x x x x B 2

A rope whose mass per unit length varies according to the relation 4x kg m is being pulled by constant horizontal force of 10N over a smooth floor lenght of rope L 1m as shown in the figure Find a acceleration of the rope b tension at point P if x L X P 10N X

When a particle is restricted to move along x axis between x 0 and x a where a is of nanometer dimension its energy can take only certain specific values The allowed energies of the particle moving in such a restricted region correspond to the formation of standing waves with nodes at its ends x 0 and x a The wavelength of this standing wave is related to the linear momentum p of the particle according to the de Broglie relation The energy of the particle of mass m is related to its linear momentum as E p 2m Thus the energy of the particle can be denoted by a quantum number n taking values 1 2 3 n 1 called the ground state corresponding to the number of loops in the standing wave Use the model described above to answer the following three questions for a particle moving in the line x 0 to x a Take h 6 6 x 10 34 Js and e 1 6 10 1 C V The allowed energy for the particle for a particular value of n is proportional to A a 2 1 C a 3 2 B a 2 D a 2009 If the mass of the particle is m 1 0 x 10 30 kg and a 6 6 nm the energy of the particle in 200

24 200 F capacitor is connected in series with 50 kn resistance and a DC voltage source of 500 V through a switch How much time after closing the switch the charge across the capacitor will be 0 063 caulamb 1 10 sec 2 3 12 sec 4 6 sec 5 sec 200 F free 50 Photo after atostofto faga al faxi fad aard vis Gard f 24 fe 1 10 2 50 0063 3 12 o 500 fant 4 60

Please provide the solution of this question in detail alon with statement as I have viewed the solution but it was n clear C 30 63 cm If the error in the measurement of momentum of a particle is 100 then the error in the measurement of kinetic energy is fe 100 e 3008 b 200 d 400

10 The sum difference and cross product of two vectors A and B are mutually perpendicular if a A and B are perpendicular to each other and A B b A and B are perpendicular to each other c A and B are perpendicular but their magnitude are arbitrary d A B and their directions are arbitrary

A parallel plate capacitor is filled with two dielectrics as shown in the diagram The area of plates is A and the distance between the plates i d If the thickness of each dielectric slab is d 2 and the dielectric constants are K and K then the net capacitance is K K 26 A KKK 2 d O 50 A KK d d

1 pa Read the following text and answer Q50 to Q52 questions on the basis of the same Super capacitor Super capacitor is a high capacity capacitor with a capacitance value much higher than normal capacitors but with lower voltage limits Such capacitors bridges the gap between electrolytic capacitors and rechargeable batteries In automobile bus train crane elevator such capacitors are used for regenerative braking short term energy storage or burst mode power delivery Super capacitors have many advantages over batteries they are very low weight and generally don t contain harmful chemicals or toxic metal They can be charged and discharged innumerable number of times without ever wearing out The disadvantage is that super capacitors aren t well suited for long term energy storage The discharge rate of super capacitors is significantly higher than lithium ion patteries they can lose as much as 10 20 of their charge per day due to self discharge Q Super capacitor makes a bridge between O A electrolytic capacitor and rechargeable battery O B single use battery and electrolytic capacitor C electrolytic capacitor and dynamo D electrolytic and non electrolytic capacitors

A man can row a boat with 8 km h in still water He is crossing a river of width 8 km where the speed of water flow is 4 km h What direction should he head the boat to cross the river in shortest time A 30 with the current B 60 with the current C 90 with the current D 120 with the current

A ball is thrown on the level ground such that it just crosses two poles of same height 1 second and 3 seconds after the projection The distance between the poles is 20 m Find the ratio of vertical component of velocity of projection and horizontal component of velocity of projection

Q 6 MULTIPLE CHOICE In an experiment to determine the acceleration due to gravity g the formula used for the time period of a periodic motion is T 0 59 2 and rare measured to be 60 1 mm and 101 mm respectively In five successive measurements the time period is found to be 0 52 s 0 56 s 0 57 s 0 54 s and 0 59 s The least count of the watch used for the measurement of time period is 0 01 s Which of the following statement s is are true du azu g Aufzu yg qu aym A 7 R r 5g B 3 57 Y 3 592 60 1 mm 10 1 mm 71 amar da q93 The values of R at H HAYA AA Z 2 0 52 s 0 56 s 0 57 s 0 54 s 7 R r 5g la qua fg gut ad di 0 01 s 1 AHA The error in the measurement of ris 10 10 Correct Answer 3 57 Correct Answer The error in the measurement of Tis The error in the measurement of Tis 2 2 D The error in the determined value of g is 11 Agi n 93 11

Given below are two statements labelled as Assertion A and Reason R Assertion A On Increasing the current sensitivity of a galvanometer by increasing the number of turns may not necessarily increase its voltage sensitivity Reason R The resistance of the coil of the galvanometer increases on increasing the number of turns Select the most appropriate answer from the options given below a Both A and R are true and R is the correct explanation of A b Both A and R are true but R is not the correct explanation of A c A is true but R is false d A is false and R is also False

5 Consider the velocity versus time plot v t of a particle shown in Figure 3 V m s 30 20 10 0 10 ist at shot tzt t s 20 30 Figure 3 The velocity plot of a particle moving in one dimension a Determine the position change of the particle between t 1 0 s and t 6 0 s b Accurately graph the position change Ax and acceleration a of this particle as functions of the tin for t 0 8 0 s as showcased in Figure 3 c To be able to comment on the absolute position or position of the particle what piece of informa

ive charges Like in this case we got sweate r and balloon can t human body get charges Either positi ve or negative BBYJU S The Learning App BBYJU S The Learning App ONGOING SESSION Physics Some Natural Phenomena Stationary electric charges reshuffle and the presence of static electricity can be felt Electrically neutral sweater rubbed with a balloon 8 8 8 8 8 8 ONGOING SESSION Physics Some Natural Phenomena Static Electricity 00 DOWNLOAD APP 00 Charges rearranged after interaction with a balloon DOWNLOAD APP Amber rubbed with fur attracts light objects such as hair When woollen or polyester clothes are taken off in the dark spark and crackling sound is observed Mrinalini 8th Grade B Woollen or polyester clothes when taken off attracts hair strands Mrinalini 8th Grade B p MO

The block of mass 3M is attached to the pulley system as shown in the figure At t 0 particle M falling vertically strikes the block 3M with velocity 8 m s and sticks to it The speed of the combined mass just after the collision is 1 M 8m s 3M

14 What is meant by banking of roads What is the need of banking of roads Obtain an expression for the maximum speed which vehicle can safely negotiate a curved road banked at an angle 0 consider friction also

Velocity v is given by v at bt c where t is time What are the dimensions of a b and c respectively a LT LT 2 and LT b LT LT 2 and LT c LT 2 LT 3 and LT d LT LT and LT 3

1 4 3 2 2 3 3 3 4 4 1 3 The total area of wings of an aeroplane is 10 m 28 10m The speed of air above and below the wings is 140 m s and 110 m s Then the force on the aeroplane by air is Pair 1 28 kg m 1 4 3 3 3 4 2 2 3 4 1 3 140 m s 110 m s y addad o I RI Pair 1 28 kg m 1 48750 N 2 48000 N 1 48750 N 3 95000 N 4 50000 N 3 95000 N A uniform square plate has a small piece Q of an 29 ff ya quick 2 48000 N 4 50000 N ff 3fa

gritially block is given velocity vo at t 0 Aften time Helative slipping b w block and plank stops Find some Velocity of block when Wipping stops Work done by friction on system u 0 m Vo M

A lift of mass 1000 kg is moving with an acceleration of 1 m s2 in upward direction Tension developed in the string which is connected to the lift is 1 9 800 N 2 10 000 N 3 10 800 N 4 11 000 N

The diagram shows the velocity time graph for two masses R and S that collided elastically Which of the following statements is true 1 R and S moved in the same direction after the collision II The velocities of R and S were equal at the mid time of the collision III The mass of R was greater than mass of S A I only B II only v m s 1 2 0 8 0 4 C I and II only R 4 D I II and III

Q 1 MULTIPLE CHOICE A uniform wooden stick of mass 1 6 kg and length rests in an inclined manner on a smooth vertical wall of height h such that a small portion of the stick extends beyond the wall The reaction force of the wall on the stick is perpendicular to the stick The stick makes an angle of 30 with the wall and the bottom of the stick is on a rough floor The reaction of the wall on the stick is equal in magnitude to the reaction of the floor on the stick The ratio h and the frictional force fat the bottom of the stick are g 10 m s 1 6 kg G THI7 3 i c H t i ya 33 y fac u it dar Bu 2 ych ou a un a z 342 Asal 30 B 3 R l a am ga uz dar 39 fa u m 3 33 uz ufaf grau kaua ya ch RR g 10 m s C h 1 h 1 16 3 3 16 za azz z 7 3 Correct Answer 16 3 h 1 N

Two bodies of mass 3 kg and 4 kg are suspended at the ends of massless string passing over a frictionless pulley The acceleration of the system is g 9 8 m s 1 4 9 m s 2 2 45 m s 3 1 4 m s 4 9 5 m s

K 2K Find the decrease in the volume of a sample of water 26 from the following data Initial volume 1000 cm initial pressure 10 N m final pressure 10 N m compressibility of water 50 x 10 N m 1 0 25 cm 3 2 48cm 2 0 45 cm 4 3 2 cm K Alfafea sis for 1000 cm SE 10 N m 34 10 N m 50x10 N m 1 0 25 cm 3 2 48 cm 2K 2 0 45 cm 4 3 2 cm d

A monkey of mass 20kg is holding a vertical rope The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg What is the maximum acceleration with which the monkey can climb up along the rope g 10 m s 1 10 m s 2 25 m s 3 2 5 m s 4 5 m s

A satellite of mass m is orbiting the earth of 20 radius R at a height h from its surface The total energy of the satellite in terms of go the value of acceleration due to gravity at the earth s surface is 1 mgo R 2 R h 3 2mg R R h 2 2mg R R h If the acceleration due to gravity inside the earth 21 mgo R 2 R h 4 1 was a R a ako se ta di geat go mg R 2 R h 3 geaft 2mg R R h 2 mg R 2 R h 2 2mg R R h

A man of weight 80 kg is standing in an elevator which is moving with an acceleration of 6 m s in upward direction The apparent weight of the man will be g 10 m s 1 1480 N 2 1280 N 3 1380 N

4 All of these A particle of mass m moving with certain velocity hits a sphere of mass m at rest elastically such that initial velocity of particle is not along the line joining their centre of mass If their final velocities are normal to each other then 1 m m 3 2m m 2 m 2m 1 m m

An electron is moving around the nucleus has a a magnetic moment M If 1 point L is the angular momentum of the circulating electro e the charge of electron and m is the mass of electron the value of M will be given by a 2eL m b 2m eL c eL 2m d m 2eL

P and Q are two concentric metallic shells If P is positively charged and Q is earthed then A B C D P charge density on Q is same as on P electric field between P Q is uniform electric potential inside P is zero electric field outside Q is zero My Answer Correct Answer

Percentage error in the measurement of mass and speed are 2 and 3 respectively The percentage error in the estimation of kinetic energy obtained by measuring mass and speed will be a 12 b 10 c 2 d 8

3 One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a smooth horizontal surface There is another wall at a distance xo from the block The spring is then compressed by 2x and released The time taken to strike the wall is 2 1 T 3 4 1 k Th m TC m 2 m 3 V k EX 14 M 2x0 XO

5 A drunkard is walking along a straight road He takes 5 steps forward and 3 steps backward followed by 5 steps forward and 3 steps backward and so on Each step is one meter long and takes one second There is a pit on the road 13 meters away from the starting point The drunkard will fall into the pit after 1 29 s 2 21 s 3 37s 4 31 s

3 Assuming that the potential energy of spring is 23 zero when it is stretched by x then its potential Xo energy when it is compressed by 4 NO is 48414d gyfa fenf frufaa sai zrak z at ut frafa x fff 4

A player caught a cricket ball of mass 150 gm moving at a rate of 20 m s If the catching process be completed in 0 1 s then the force of the blow exerted by the ball on the hands of the player is 1 0 3 N 2 30 N 3 300 N

8 A thick walled hollow sphere has outer radius R It rolls down an inclined plane without slipping and its speed at the bottom is v If the inclined plane is frictionless and the sphere slides down without rolling its speed at the bottom is 5v 4 What is the radius of gyration of the sphere R 1 3R 3 2 4 R 2 3R

In which of the following cases forces may not be required to keep the 1 Particle going in a circle 2 Particle going along a straight line 3 The momentum of the particle constant 4 Acceleration of the particle constant

42 In the equation for a stationary wave given by TUX y 5 cos sin 100 t Here x is in cm and t in 25 second A node will not occur at distance x a 25 cm c 12 5 cm b 62 5 cm d 37 5 cm