Bansal Classes Download JEE Problems for Physics in Eleventh Standard : Great for AIEEE

CONTENTS: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

Practice Tests for Chemistry [All levels, not just JEE!] Copying content off .djvu files Asking questions online Benefits of asking questions online! But how do I copy the questions to ask them online? How do I store images online if I want to ask questions on any site/forum? Why should I ask my doubts online? I am not studying for the JEE! These files are of no use for me! To hell with engineering! I am preparing for medical entrance exams! Please get the original printed study material! What next?

COPYING CONTENT OFF .DJVU FILES Once you have the .djvu files with you, you have the content. If you want to use the assignments in your daily work and don’t want to stick around your computer while doing all that, just print them out. *Printing all the assignments might seem clumsy to you – and expensive. Why not buy the books themselves, then? But different situations, different demands. You can consider getting a refilled cartridge and use the printer on fast draft (low DPI/low quality). You’d be able to print around 250 pages with one refill.]

The .djvu files facilitate printing. For example, the original scan and the encoded .djvu files are given above. Compare their clarity. The original file has the text on the other side showing up as well. The .djvu files just clear them up, apart from doing a lot of other technical things!

ASKING QUESTIONS ONLINE. You should consider asking your doubts online. Here are three sites to get you started: -

1. 2. 3. 4. 5. 6.

www.answers.yahoo.com www.targetiit.com and www.goiit.com www.physicsforums.com PHYSICS HELP www.mathhelpforum.com MATHEMATICS HELP www.chemicalforums.com/ CHEMISTRY HELP http://www.biology-online.org/biology-forum/ BIOLOGY HELP

Answers is an online service by yahoo which asks other users to answer the questions other users set up online, ranging from Physics/Chemistry/Bio to Jeans/Hollywood/Mascarah/Relationships/Law/Cooking etc. etc. etc. Targetiit.com is a site by an IIT-KGP alumni to help others preparing for JEE. Its specialized for JEE, check it out once! The site recently produced an AIR-45 in IIT-JEE! The last four are specialized help sites, and I seriously recommend them to you if you want to learn from the hands of perfectionists. If you want to see an example of how the international sites can help you, scroll further down!

Benefits of asking Questions Online!

BUT HOW DO I COPY TH E QUESTIONS TO PASTE THEM ONLINE? It’s simple. Let’s see three ways you can do this. Suppose you want to copy a block of text, open up the .djvu file in DJVU viewer – (google up DJVU Viewer Download. You will get a live direct link to djvu viewer! Well, just in case you find learning new procedures/things like this kind of tedious, how are you gonna prepare for the JEE in the first place? Screw JEE, if you can’t even be comfortable with googling up software why are you studying in Science stream at all? I’m just assuming you downloaded this file yourself.)

(A) COPYING A BLOCK OF TEXT

Check the image above. I have opened up a page of S L Loney above. Note the fifth icon to the right of Lizardtech logo in the bottommost toolbar, it’s the text selection tool. (The T surrounded by dotted lines.). Click on it. Now select the region you want to copy text from like you would do normally in a word/acrobat/notepad window. Copy (Ctrl + C) and paste wherever you want. Please note that if whatever text you are copying involves a lot of mathematical formulae, then it’s a good idea to format the text before posting it online.

(B) COPYING A DIAGRAM/IMAGE FROM .DJVU F ILES. On the menu bar, you will see a “Selection” menu item. Click on it and in the drop down menu, select the “Select Region” option.

Now, select any region of the .djvu file that you want to use as a diagram. Look at the two examples below: -

The blacked out zone is the selected region that I want to use. After copying it, I can paste it anywhere, like I did here...

Just in case your question has a lot of formulae/signs/symbols and it would be complicated for you to type the question yourself, just copy the whole question as a region instead of text and paste it as you would paste a diagram/image! This is particularly useful for questions of integration and so on... Just be careful that if you are going to use these images online on one of those sites and pose them as questions, not many people would be attracted to your question. There’s a simple reason, there are hundreds of questions posted everywhere, if your question has no text – it won’t show up in searches/related questions etc. etc. etc. and hence minimum visibility to people who know the answer.

HOW DO I STORE IMAGES ONLINE IF I WANT T O ASK QUESTIONS ON ANY SITE/FORUM? First off, make the image file yourself on your computer using DJVU viewer and paint. Store the files in GIF format and NOT BMP format. [If you have no clue what they do, just remember that GIF format is low on filesize and hence will save you a lot of time/data usage on your internet connection] Once you have the image ready with yourself, just post online on any photosharing website that gives you a direct link to images. Figure this yourself. Google “Image sharing for forums” or “Imageshack” or “Photobucket” or whatever. Imageshack/PhotoBucket are meant for this. Try them out.

WHY SHOULD I ASK MY DOUBTS ONLINE? Have you ever complained about your teachers/low competition/stress/environment? All of us have at some point of time or the other, so don’t pretend you didn’t. But if there’s one percent of truth in the claim that you didn’t complain about them to give an excuse for your own failure or to look smart in how well you can analyze things – then God has listened to your complaints. Go out there and make the best use of the opportunities given by your internet connection and those sites. It’s because those sites exist that we scanned 7000 pages of text to help get you started with your preparations and reduce some stress off you. But in case even this time you come up with an excuse about how asking doubts on those sites is not productive, hats off to you. Somebody else is obviously going to reap the benefits of our labour work of over a month of our summer vacations and spend their high school life without useless stress, simply because they outsourced the job of clearing up their mental bottlenecks to the hundreds of online professors/students who want to help you! In any case, if you don’t see these files as an opportunity, chances are that you haven’t started studying as yet (explaining why you haven’t felt any stress as yet)! I just hope it’s not February with your Chemistry fully remaining before your board exams.

I AM NOT STUDYING FOR THE JEE! THESE FILES ARE OF NO USE FOR ME! Fine. Don’t use them. But we haven’t scanned material useful only for JEE either. We don’t care what an exclusive bunch of students who can take care of themselves is doing. A lot of the material we have scanned has many many generic questions, straight questions, common sense based puzzles, actual test papers from previous years. Even Bansal Classes’ material has a lot of simple examples that will help you with your basics (simple = common sense based. You might find them difficult, but it’s not a big deal if you find even the simplest of questions difficult. After all, common senses are not so common). Just avoid the Exercise II problems and the lengthier subjective problems that were asked in JEE. The first half of exercise I would be fine.

And any/all of AIEEE material is essentially your board syllabus. Keep one thing in mind, contrary to what your coaching classes might tell you, preparing for the AIEEE alongside reading NCERT text keeps you in touch with everything. Do the AIEEE questions and you’re done with understanding your NCERT text. Once you understand your text, its easier to rot/memorize/answer descriptive problems. I am assuming that all of us have felt a little responsible at times and started reading NCERT texts and then, drifted off into other thoughts while your eyes blankly scanned the sentences without you grasping their meaning. If you have that experience, then definitely try AIEEE questions, purposefully generate doubts and then ask them online. If you see no difference, double your doubts. Give it 15-20 days and then see the difference. What will matter here is whether you want to change the situation that you do not get the meaning of texts. Emphasis on HOW MUCH you want to change the situation. It all comes down to you.

TO HELL WITH ENGINEERING! I AM PREPARING FOR MEDICAL ENTRANCE EXAMS! My dear boy, even medical entrance examinations have Physics and Chemistry! Just don’t use the JEE/AIEEE specific questions, but you should have an idea of what difficulty level is usually maintained. Search for it, we have a set of mock test papers, which are mock tests of JEE/AIEEE/Physics for PMT/Chemistry MCQs in medical exams, so you’ll find plenty of resources online! We also have a chhota sa nanha sa munna sa set of Biology mock tests of all difficulty levels. Grab them and start solving. If you stumble, ask doubts. Simple. Will you succeed or will you not will just depend on your attitude/determination/ambition. People have a tendency to use these words randomly as if they are spraying salt and pepper over some dish. Grab a dictionary and check their literal meanings. After that, ask yourself where you stand.

PLEASE GET THE ORIGINAL PRINTED STUDY MA TERIAL! You should remember that we are not affiliated with Arihant Prakashan/Bansal Classes/Fiitjee/Yahoo.com/Target IIT/HighschoolHelpForum in any ways. If you have these files and like the content that’s inside them, just go out there and buy the original printed documents. After all, it’s someone’s hard work!

WHAT NEXT? Use google alerts for yourself! Alerts.google.com – set up alerts for IIT-JEE/IIT Study Material/AIEEE/AIEEE Study Material/CBSE and all other tags you can think of. Basically, all that will keep you updated on whatever stuff that is available online to help you study.

A SAMPLE LIST OF QUESTIONS THAT CAN BE FOUND IN THE DJVU FILE A butterfly is flying with velocity 10 i + 12 } mls and wind is blowing along x axis

The fig. shows the v-t graph of a particle moving in straight line, Find the time when particle returns

with velocity u. Ifbutterfly starts motion from A and after some time reaches

to the starting point. v 20 10

point B, find the value of u.

kx

Q.7 A particle is projected in the X- Y plane. 2 sec after projection the velocity of the particle makes an

Find the change in velocity of the tip of the minute hand (radius = 10 cm) of a c10ck in45 minutes.

angle 45° with the X - axis. 4 sec after projection, it moves horizontally. Find the velocity of

A, B & C are three objects each moving with constant velocity. A's speed is 10 mlsec in a direction PQ .

projection (use g = 10 ms- 2 ).

y

The velocity ofB relative to A is 6 mlsec at an angle of, cos- I (15/24) to PQ . The velocity orc relative to B is 12 mlsec in a direction QP , then find the magnitude of the velocity ofC. Rain is falling vertically with a speed of20 ms.] relative to air. A person is running in the rain with a velocity of 5 ms-] and a wind is also blowing with a speed of 15 ms- 1 (both towards east). Find the angle with the vertical at which the person should hold his umbrella so that he may not get drenched.

Q.8 A small ball rolls off the top landing of a staircase. It strikes the mid point of the first step and then mid point of the second step. The steps are smooth & identical in height & width.Find the coefficient of restitution between the ball & the first step. Q.9 A stone is dropped from a height h . Simultaneously another stone is thrown up from the ground with such a velocity that it can reach a height of 4h. Find the time when two stones cross each other, . I ,

The velocity-time graph of the particle moving along a straight line is shown. The _

Q.10 A particle is projected upwards with a velocity of 1 00 mlsec at an angle of 60° with the vertical, Find the

rate of acceleation d decelertio is constant and it is equal to 5 ms- 2 . If the . r

time when the particle will move perpendicular to its initial direction, taking g = 10 mlsec 2 .

average velocIty dunng the motIOn IS 20 ms- 1 , then find the value oft.

A large number of bullets are fIred in all direction with the same speed v. What is the maximum area on

o t 25 see

ground on which these bullets can spread? Q .13 A boat starts from rest from one end of a bank of a river of width d flowing with velocity u. The boat is steered with constant acceleration a in a direction perpendicular to the bank. If point of start is origin, direction of bank is x axis and perpendicular to bank is y axis. Find the equation of trajectory of the boat. Q .14 A ball is thrown horizontally from a cliff such that it strikes ground after 5 sec. The line of sight from the point of proj ection to the point ofhirting makes an angle on 7° with the horizontal. What is the initial velocity of projection. Q .15 A ball is proj ected on smooth inclined plane in direction perpendicular to line of greatest slope with velocity of8m1s. Find it's speed after 1 sec. Q .16 A glass wind screen whose inclination with the vertical can be changed, is mounted on a cart as shown in fIgure. The cart moves uniformly along

the horizontal path with a speed of 6 mls. At what maximum angle a to the vertical can the wind screen be placed so that the rain drops falling vertically downwards with velocity 2 mis, do not enter the cart? Q.17 A particle is projected from point P with velocity 5.fi mls perpendicular to the surface of a hollow right angle cone whose axis is vertical. It collides at Q normally. Find the time of the flight of the particle. Q .18 Find range of projectile on the inclined plane which is proj ected perpendicular to the incline plane with velocity 20mls as shown in fIgure. Q .19 AB and CD are two smooth parallel walls. A child rolls a ball along ground from A towards point P fInd PD so that ball reaches point B after striking the wall CD. Given coefficient ofrestitutione = 0.5 L 'k37° ,, y x 'Sr"

C P4i-X D Jz· A __l.5m_B Q .20 Initial acceleration of a particle moving in a straight line is a o and initial velocity is zero. The acceleration reduces continuously to half in every to seconds as a = . Find the terminal velocity of the particle. 2 to Q.21 Find the acceleration of movable pulley P and block B if accelerationofblockA= 1 mls 2

A weightless inextensible rope on a stationary wedge forming angle a with the horizontal. One end of the rope is fixed to the wall at point A. A small load is attached to the rope at point B. The wedge starts moving to the right with a constant acceleration. Determine the acceleration a] of the load when it is still on the wedge. Q.26 The horizontal range of a projectiles is R and the maximum height attained by it is H. A strong wind now begins to blow in the direction of motion of the projectile, giving it a constant horizontal

acceleration = g/2. Under the same conditions of proj ection, find the horizontal range of the proj ectile. Q.27 COllSiderthe acceleration of a particle for a given time 't' at 'a' mls 2 followed immediately by retardation at the same rate of , a' rn/s 2 for time 't/2', as one cycle. If the particle started from rest, find the distance travelled by it after 'n' such cycles in succession. Q .28 A particle is thrown horizontally with relative velocity 10 mls from an inclined plane, which is also moving with acceleration 10 mls 2 vertically upward. Find the time after which it lands on the plane (g = 10 mls 2 )

Block A of mass m and block B of mass 2m are placed on a fixed triangular wedge by means of a massless inextensible string and a fuctionless pulley as shown in the figure. The wedge is inclined at 45° to the horizontal on both sides. The eoetticient of friction between block A and the wedge is 2/3 and that between block B and the wedge is 1/3. Ifthe system of A and B

is released from rest, fmd (i) the acceleration of A, (ii) tension in the string, (iii)

Draw a free-body diagram for mass M, clearly showing all the forces.

the magnitude and the direction of fuction acting on A. [JEE 1997]

Let the magnitude of the force of friction between m] and M be f] and that between m 2 and ground

Q.3 A spring offorce constant k is cut into two pieces such that one piece such that one piece is double

be f 2 . For a particular F it is found that f] = 2 f 2 ; Find f] and f 2 . Write down equations of motion

the length of the other. Then the long piece will have a force constant of

of all the masses. Find F, tension in the string and accelerations of the masses. [lEE 2000]

(A) (2/3) k (B) (3/2) k (C) 3k (D) 6k [JEE 1999]

The pulleys and strings shown in the figure are smooth and of

Q.4 In the figure masses mp m 2 and Mare 20 kg,S kg and 50 kg respectively. The co-efficient of friction between M and ground is

negligible mass. For the system to remain in equilibrium, the angle 8 should be [JEE (Scr) 2001] (A) 0° (B) 30°

zero. The co-efficient of friction between m] and M and that between

(C) 45° (D) 60°

m 2 and ground is 0.3. The pulleys and the string are massless. The

(b)

string is perfectly horizontal between p] and m] and also between P 2

Q

and m 2 ' The string is perfectly vertical between p] and P 2.An external horizontal force F is applied to the mass M. Take g = 10 m/s 2 .

(a)

Q.5

Q.6 A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The foree on the pulley by the clamp is given [JEE (Scr) 2001] . (A) .fi Mg (B) .fi mg

(C) (M+m)2 +m 2 g (D) (M+m)2 +M 2 g Q.7 A block of mass .J3 kg is placed on a rough horizontal surface whose coefficient of fuction is 1/2.J3 minimum value of force F (shown in figure) for which the block starts to slide on the surface. (g=l Omls 2 ) (A) 20 N (B) 20.J3 N (C) 1O.J3 N (D) None of these Two blocks A and B of equal masses are released from an inclined plane of inclination 45° at t = O. Both the blocks are initially at rest. The coefficient of kinetic fuction between the block A and the inclined plane is 0.2 while it is 0.3 for block B. Initially, the block A is .fi m behind the block B. When and where their front faces will come in a line.

The bob of a simple pendulum oflength I is released frompoint P. What is the angle made by the net acceleration of the bob with the string at point Q. Q.2 A ball of mass 1 kg is released from position A inside a wedge with a hemispherical

cut of radius 0.5 m as shown in the figure. Find the foree exerted by the vertical wall OM on wedge, when the ball is in position B. (neglect fuction everywhere). Take (g = 10 mls 2 ) Q.3 A particle P is moving on a circle under the action of only one force acting always towards fixed point a on the circumference. Find ratio of d 2 8 & ( d8 ) 2 dt 2 dt Q N o p o Q.4 A particle is moving in x direction, under the influence offoree F = rr sin nx. Find the work done by

Find the potential energy stored

0.5 m 0.5

in the spring (m i > ). Q.7 A spring of mass m is pulled such that a given instant"ve10city of both of its end is v in the opposite

0.5 A

direction. Find the kinetic energy ofthe spring, vv

Q.11 A force F = -k(x i + y }) [where k is a positive constant] acts on a particle moving in the x-y plane.

Q.8 A particle of mass 3 kg is rotating in a circle of radius 1 m such that the angle rotated by its radius is given

Starting from origin, thepartic1e is taken to (a, a) and then to (a/.J2, 0). Find the total work done by the

by 8 = 3 (t + sint). Find the net foree acting on the particle when t = rr/2.

foree F on the particle.

Q.9 For a particle rotating in a vertieal circle 1th uniform speed, the maximum and minimum tension in the string are in the ratio 5 : 3. If the radius of vertical circle is 2m, then find the speed of revolving body. Q.10 Two strings oflength I = 0.5 m each are connected to a block of mass m = 2 kg at

@Bansal Classes

A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle x of the particle from the origin as F(x) = - kx + ax 2 . Here k and a are positive constants. For x;::: 0, the functional form of the potential

another external agent in slowly moving a particle from x = 0 to x = 0.5 m.

one end and their ends are attached to the point A and B 0.5 m apart on a vertical

Q.5 A particle moves in a circle of radius R with a constant speed v. Then, find the magnitude of average

T

U(X)j .

pole which rotates with a constant angular velocity 0)= 7 rad/sec. Find the ratio t

(A) x

energy U (x) ofthe particle is [lEE (Scr.)'2002]

...--

rrR acceleration during a time interval 2 v . Q.6 In the figure shown, pulley and spring are ideal.

2

Q.12

oftension in the upper string (T 1 ) and the lower string (T 2 ). [Use g = 9.8 m/s2]

U(X)j U(X)j\ U(X)j /\

B

(B) x (C) x (D) ---r---r x Q.13 An ideal spring with spring-constantkis hung from

the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initiallyunstretched. Then the maximum extension in the spring is [lEE (Scr.)'2002] (A) 4 Mglk (B) 2 Mglk (C) Mg/k (D) Mg/2k ' Q .14 A spherical ball of mass m is kept at the highest point in the spaee between two fixed, concentrie spheresAandB (see figure). The smaller sphereAhas a radius R and the space between the two spheres has a width d. The ball has a diameter very , . slightly less than d. All surfaces are frictionless. The ball is given a gentle push 18

drawing t\"IO separate graphs in your answer book, taking cos8 on the horizontal axes.

0) ( I )X )x

Q.15 In a region of only gravitational field of mass 'M' a particle is shifted

U(X)v _

from A to B via three different paths in the figure. The work done in B different paths are WI' W 2 , W 3 respectively then [JEE (Ser.)'2003] (A) WI = W 2 = W 3 (B) W] = W 2>W3 (C) W] > W 2 > W 3 (D) W] < W 2