Hi, everyone ! I'am Deepanshu gupta , Currently I'am Preparing For JEE 2015 ! In free time i also love to play football . I Join The brilliant.org in June 2014 , after joining this amazing site , my problem solving skill's get increased . Thanks to staff Member's for creating such Beautiful website . Also here i make some good friend's , and learn lot from teacher's . This is really Brilliant Site !

This is my message Board , you can leave messages for me here . Feel free to report , complain , suggestion for brilliant.org , I'am also an **Moderator** , So You are welcome to talk to me . !$\ddot\smile$

Thank You !

DEEPANSHU GUPTA

This note is going heavier , and loading very slowly ,So I will deleting comment's which are irrelevant and answered now . So that I can easily reach to you.

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## Comments

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TopNewestCould ypu send a link of all the brainstormers that are there ?

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hi deepanshu.....i'm pranav....exited to know. how much did u scored in mains and advanced also

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Hi deepanshu, I am unable to reply to your report(bug in the app) so I am writing it here(not everything)

Assuming point mass won't help( V = 0 $\therefore$ B = 0) I have mentioned it to be cubical(for solving this problem don't focus on the shape) ,

After coming at top it will eventually come down(density of block is more :D)

I hope this is sufficient for you to retry the problem :)

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No no , Actually I mean't that point size means to neglect his dimension's or not .... Okay evrything's clears now , Sorry That Time really messed up , I'am sorry for that ! Thanks

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Hi deepanshu, Can u please mark these disputes over here as resolved.

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Bro , actually we moderators are not allowed to marked report as resolved . But okay I can delete the reports , So I will delete the report , if once he is satisfied with his mistake ... does he ...?

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Hi buddy , can you please upload solution to this question : Interference in YDSE

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Sorry bhai , time ki shortage hai , I will upload after my mains , till then I can gave you hints on that question Post. You can tag others people for help , if they can .

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Hey, bro I have a doubt in a question. I have solved it but a concept needs to be cleared. Please see the problem "Rolling down Rolling down ...." . May be I am not getting the thing to be clear but whatever may be the reason please see the discussion carried in that problem, I have put forth my doubt. Please reply as soon as possible. Thanks in advance. And yeah ALL THE BEST for JEE, I would also be giving JEE in 2016.

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I think this Problem needs correct diagram , and I guess author of problem (Vraj) and problem solver confuse in diagram . See This

@Aditya Tiwari

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Okay i get your doubt. $\text{Case 1:(releasing cylinder)}$ ![]( When we released the cylinder on the inclined the Point A on cylinder moves backwards wrt to B.Hence friction will act down the incline (opp to spin) on the cylinder decreasing it angular velocity.

$\text{Case 2:(Puer rolling)}$

When this angular velocity is enough for pure rolling then friction will act upwards as usual.

For more insight try to right eq of translatory motion of COM of cylinder in $1^{st}$ case.Hope this clears your doubt.

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Hi , Thanks for wishes , okay I'am trying that problem If I got correct then I will report back you! But Can you Please tell cylinder is solid or hollow ? I guess it should be solid , am i right ?

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Yeah its solid as nothing is mentioned

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@Aditya Tiwari

I Done ! ask what is your doubt , I will try to help you .Log in to reply

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$\text{Case 1:(releasing cylinder)}$ When we released the cylinder on the inclined the Point A on cylinder moves backwards wrt to B.Hence friction will act down the incline (opp to spin) on the cylinder decreasing it angular velocity.

Okay i get your doubt.$\text{Case 2:(Puer rolling)}$

When this angular velocity is enough for pure rolling then friction will act upwards as usual.

For more insight try to right eq of translatory motion of COM of cylinder in $1^{st}$ case.Hope this clears your doubt.

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Hi

Actually I haven't yet solved the question yet , but the OP is my friend , so if you could write your doubt here , I'll call him immediately and resolve your doubt .

That is if your doubt is important for you !

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I can't believe I wasn't able to solve this.

A person picked up 13 cards from 52 cards. Find Probability that he has no ace , Probability that he has exactly one ace ?

Please solve this $\ddot\smile$

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Bro can you help me with this. thanks

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Let me give a try , If I got then i will report you.

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Okay. Thanks

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Check tis out!

Please participate and reshare.

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Could you help me out ? here

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@Deepanshu Gupta Please suggest me a good reference book for ray optics.

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I want to ask, how many of you use Physics Galaxy by Ashish Arora as a reference for Physics?

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Dude , that books good , but be warned , it has a lot of theory ! If you are willing to be industrious , go for it :)

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Sorry Brother I did not know indiidual source for ray optics. But I think H.cv has some good problems of ray optics . And No currently I did not have that galaxy's , But what was that physics galaxy in actual ? I really did not know about them . are they are study material for advance ? or anything else. @Ninad Akolekar

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@Deepanshu Gupta Physics Galaxy is a book for IIT JEE preparation. One of my physics faculty suggested me that. I feel that it as an awesome book. A wide coverage of theory, in detail with illustrative examples.

Not only this, it has good level of problems (much higher than DC Pandey, I feel) and not few, but many such problems. It has five types of problems- i. Practice Exercise (In-chapter exercise), ii. Discussion Questions (Theory/Reasoning type questions), iii. Conceptual Objectives, iv. Numerical Objectives and the best ones v. Numerical Subjective.

I like this book personally. It has so large number of problems that it becomes difficult to complete even a single chapter. You need to have a lot of patience and time, as well. Or one may attempt only the conceptual objectives and numerical objectives for JEE Main purpose/ Numerical Subjective for JEE Advance.

But there's a way out. Ashish Arora's website: Go and check out the advanced illustrations and download all mechanics brainstormers (tests), atleast.

Physics Galaxy Brainstormers

Physics Galaxy Advanced Illustrations

Okay, that was my personal point of view. One may have a different opinion. You can take suggestion from your faculties but I feel that you'll like the above mentioned Brainstormers, so I mentioned it. @Deepanshu Gupta

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He could try Ray optics by DC Pandey.

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How much did you get in your boards (PCM %). I just finished with my boards and Iam expecting to get $85\quad$% in PCM. So I just wanted to know how much should I score in JEE at least to get a nice NIT.(general category)

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In which board r u ? I mean CBSE 12th board exams are running . And actually I Pass CBSE Last year with 91% . An really I did not know about normalisation process much , But I think with 90% + in CBSE board and atleast 230-240 marks are requaired in Mains to get okay NIT, But as competition is increses day by day so we can't predict. So it is better to perform Better in JEE Mains and leave rest on our Luck . @manish bhargao

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Can you please solve them and post solution....thnkx problem 1 Problem 2

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Hi..deepanshu Thankx for your reply.

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Does anyone know why the old uncle's amazed ?

Let me tell you .

He saw into the future and was surprised to see that @Deepanshu Gupta had created a note named DEEPANSHU GUPTA's MESSAGE BOARD 10 .

Believe me friends , the old uncle never lies , and for further proof , just check tha number of replies this note has acquired in a really short span of time !!

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Ha ha ha !! Lol ! :) I wish that this won't happen . It is really difficult for me for replying .

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Currently I am getting an average of 7 notifications every minute . I can imagine your condition !!

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$\huge XD$

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Hey Deepanshu, I wanna tell you that your Mechanics questions are really awesome and quite different from conventional ones.

Keep posting them.

And, Best of Luck for JEE.

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Thanks Ninad ! Yes I will make some more question's right after my JEE main's exam . Since Now day's i'am focussing on my speed and accuracy ! But after Main's I will surly Post . @Ninad Akolekar $\ddot\smile$

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Exactly and I think you might be referring to the $Balti$ question , right ?

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Pls suggest books fr jee, especially organic n physics( except irodov)

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Hello friend! Can you tell me how did you solve this question. The title says to solve geometrically, but I can't even solve it algebrically What method did you adopt? Please Help!

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Hi friend ! , Actually I don't know geometric method right now , But Yes I solved it by algebric method. Hint : Make that equation as perfect square ! @Samuel Jones

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How did you started physics?

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will you please elaborate what did you mean exactly ? I didn't get you . Thanks!

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Wanted to know which topic interested you the most , how much time you devoted to physics , whether your mind made a decision to do only physics leaving other subjects? Lastly my same question from where I need to start and get a keen interest in it?

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If You want to develop nterest in physic's as well , then I suggest you , after reading any physic's question try to relate it with your life , and say's wow ! what a real situation , believe me by doing so you will find that new interest will developing in you ! Also I suggest You To read small history of chapter's ,Like who/how/why/ invent this believe me it gives u new positive energy and new interest will develop in you . Important thing is that you must have to believe in yourself that " I can Solve Every problem of physic's " . So believe in yourself and be confident. Also Say's to yourself that you love physic's . So feel physics , enjoy physics ! You will suerly get expertise in it .Best of luck ! $\ddot\smile$ Feel free to ask me further any thing ! I'am glad to help my brother @megh choksi

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But I still keep trying , hoping that someday I might get the knack of it .

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@Deepanshu Gupta

Nope , Instant Notes in Phy Chem isn't that good , it just contains info abt Virial Equation , which is too simple a topic .

Going back to the original point ,resonance DLPD material is the best for Phy Chem .

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Thanks ! I know one of my friend , who is in resonance , I will suerly take his study material ,!

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I didn't realize it till now that I hadn't followed you !!!!

I was always wondering why did I never get your questions in my Community Feed directly , always it would be reshared by someone else .

Darn! I also missed the opportunity of being your 500th follower :(

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i was his 500 follower.

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Congrats :)

Btw ,I had read abt it above .

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@Deepanshu Gupta

$\huge \text{Thanks for your advice}$ I have just returned after writing the exam !!

Btw the paper was toooooo lengthy . The exam was scheduled from 10 : 30 am to 1:30 pm , you know what , I completed my paper at 1:27 pm .

And yeah , my handwriting went from Italics to a font style that is not yet defined !! Also the paper was quite easy :)

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that's good , english paper is alway's being lengthy . I feel good that you did well . Gud luck for next exam ! $\ddot\smile$

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Can you provide solution to this problem

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All The Best Bro! :D

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Do you like carrots?

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Instead of directly eating carrot's , I Prefer to eat " Gajar Ka Halwa " . I really Love to eat that " halwa " . Interesting thing is that my father prepare very delicious " Halwa " instead of my mom . Even currently and whenever I'am doing Brilliant .org I ate "Gajar ka halwa" . It is sad that my father said that this is probably Last time in this season . Since carrot's season going to off air . @Agnishom Chattopadhyay $\ddot\smile$

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Just curious, would you ask this to me also if I post a message board

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sure

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Sorry I forgot , Congrats for getting 400 followers !!!

But I believe that I'll be congratulating you again in a few days , am I right ?

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Haha , honestly I was expecting this question to come up !! Though I was expecting someone else to ask it :)

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Hi Deepanshu! Congratulation on achieving the milestone of 500 followers. I want to ask you, when should one start preparing for JEE? When you started preparing for it? I recently downloaded book named 'Classical Mechanics' by David Morin. And I found new fascinating things like Catenary equations, Polar coordinates, Rotating frame of reference etc. I want to ask you are these things required for JEE.

I liked your new profile pic. :)

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Hi Satvik , My sweet Brother ! Thank's .

And I think there is no particular age for starting JEE prep. Even when I'am in 10th I didn't hear about JEE once , I come to know after entering in 11th , and due to which i struggled intially , but then everything's okay, and Particularly I didn't solve much book's , instead I prefer to study in depth and in meaningful way , I enjoyed physic's , and I don't think that if a person want's to do well Particularly in JEE (I'am not talking of olyimpiad's yet) , then he had to finished all book's , including Krotov , David moroin , These book's have really good bunch of problem's but they actually used blending's of concept's , so it doesn't guaranteed that we understand better physic's , and studying various topic's which are not in syllabus , is not necessary , because, think if it is good for us , then why they did not include it in our current topic's ? actually It is beacuse everything has particular time for understand it in better way , we will surly studied it in depth in engg. Since JEE paper is not based on blending's , they only enforce in making question which need's some thinking , which is required for making good engg. , Since In all such book's there are question's which need's blending's , they did not use so much thinking (I'am not taliking of , thinking like that how can I integrate this question's solution etc this is not realistic physic's) So it is not good to read such topic's in half knowledge , because half knowledge is dangerous than zero knowledge . I Have my old friend's which get AIR: 58 ,187 ,858 etc. in JEE , doesn't know about such book's , and they even do not try IRADOV once , also they don't know about beta/gamma/zeta function's in Integral calculus , they only enforce to study in depth and in meaningfull way, They alway's said that they wiill study it in IIT's in meaningfull way , since everything's have appropriate time .

But , if one preaparing for olyimpiad's etc. then Solving such Book's is really important , and very helpfull . and also You were in 11th , and i think that you already completed mechanic's , so I think you have suffecient time for reading and solving such stuff's .

Note : This are only my view's . Don't take it so seriously :) All The Best for your Board's :) @satvik pandey

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Thank you @Deepanshu Gupta and @Mvs Saketh for guiding. I too feel that solving hard problems like those which are present in that book is not necessary for cracking jee. But at the same time I am very much interested in Mechanics. I like to explore different, new and fascinating concepts of mechanics. So, I would try to study that book but at the same time I will make sure that reading that book doesn't compromise with my JEE preparation. Thank you guys for guiding me. You guys are very nice to me and I have learned a lot from you guys. :)

This note has too many replies. It took 10 minutes to find replies of you guys!:D

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Hi , can you please give the link from where you downloaded it? Seems like a pretty good read now that Saketh is recommending it !

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Here's the link

I found it somewhere in Brilliant

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That is the most awesome book in mechanics ever written, i strongly suggest you fully study it(atleast as far as possible), @satvik pandey

believe me david morin has so nicely explained everything that your concept will be totally clear by the time you finish the chapters, you have lots of time still in 11 th class so make full use of it, unfortunately i only came to know of it in 12th class still i finished it (except some chaps of special relativity, general relativity, parts of largrangian mechanics and a bit of statics and few probs here and there) when i was preparing for INPHO in January, i just cant put how awesome it is, but i hope you realise it, because anyone who reads it will love mechanics for sure.

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Thank you Saketh and Karthik.

I will surely go through it after my class 10 boards. I started studying it but when it came to tension in massive string and catenary equations it seemed to be very much complicated( mainly the mathematical part). Also the problems given in that book seemed to be very much complicated and difficult. I was going through the chapters of rotational mechanics and I saw that it contain lots of new and fascinating concepts. like rotating frame of reference etc. I want to ask you are these things required for cracking JEE? As I like Mechanics very much so I strongly want to study that book. But I want to make sure that this doesn't compromise my JEE preparation starting from the next month.

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and trust me it is hard, not just for you anyone , i too found it hard at first, but carefully think and you will realise that most problems are simple :)

finally know that i was at a much worse position than you in 12, i could barely understand newtons laws, frankly Only in 12th class, i studied both 11th and 12th course (i do not recommend that) yet i had time for it, Whereas you are in a much better position, so go for it, but remember, the more you learn math, the better you can do physics , and the better you can qualitatively predict chemistry Best of luck!

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Yeah it indeed is a great book. Unfortunately I too got to know about it only after the JEE.

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So finally you have created a message board , and congrats on 500 followers .

Your Physics questions are awesome , they are too tough for me to solve , hope you'll keep on posting such awesome questions .

I think that you know that we have our first exam , English , tomorrow , do you have any tips regarding how to maintain composure and any such stuff regarding Board exam (not English in particular) ?

PS I didn't give Board exam in class 10 , so I'm a bit nervous, you see !!!

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thank you :) , I will try to make question after our main's exam . And Best of Luck For Your Board's . I suggest You to keep calm and cool , Believe me, CBSE Paper checking is very- very easy ( believe me ), You will definitely Got Lot more than you ever then expected , For English Just make your impression on teacher's by using a few tough word's . Don't try to elongate your answer too much , instead use some typical and beutiful word's , and Keep Time in your Mind , I'am saying beacuse I had left my 10 mark's , So i don't want that it happened to you . And for other's subject's I prefer you to solve Old year Paper's (It is must for physics and chemistry ) , they really help lot , and makes you handy ! Chemistry Paper is genrally finished in 2 hour's atmost, Since I fineshed it last year .Write two the point's in chemistry specially . For Physic's important derivation's are need to done atleast twice . Practice for diagram . You can impart your knowledge in paper in intiall 2-3 question , so that teacher's definately take interest in your paper ! But BE CAREFULL , don't waste too much time , otherwise it will give you Pain . Listen some soft music's in breaks of studies . Best of Luck my brother , Rock It $\ddot\smile$

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Thanks bro , your reply was most certainly very inspiring !!!!!

I'll try to finish the paper in time , thanks for sharing your experience with me :)

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$\huge\text{You post good problems! ! }$

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Which is your strongest part out of Maths, Physics, and Chemistry ?

And what are you expectations in JEE-Mains and JEE-Advanced as per your preparation ?

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I can't say about topic's in which I'am stronger or not , I love everything related to math's , physic's .

But yes for Math's , Complex Number's is One of my favourites topic's . Due to it's wide application's it fascinates me very much . And Calculus is also one of those topic's . Although I did not now much about Integral calculus , Like I see other student's know's . I only Know's Basic Integration , I did not studied gamma , beta function's yet etc. But I'am curious to learn and will surely study in Engineering.

For Physic's , I love each and every thing even i like every single thing abot physic's , I'am really mad about physic's and always wanted to learn more and more . It lives in my heart forever , I'am just wanted to swimming in the pool of Physic's . I can't say that I'am strong in particular topic , But yes again , thermodynamics is my fav. sectiion , I want to do research in Energy or Robotic's , after completing my graduation in Mechanical Engg. (If I will get :) )

For chemistry , I hope this is my last year for chemistry :P , I read Enough chemistry in my life ,. But Yes I can study Organic chemistry in my engg. if I have to .. !

And Expectation's are always high and can't be fulfilled completely ever , But as of now , since JEE main's is nearer so i think I can score 80-85 % in JEE main's . If everything goes well . And For Advance I can't comment yet , I can comment on it probably in may , Since I have time to prepare better for it. !$\ddot\smile$ @Sandeep Bhardwaj Sir

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i m sure you would calculate depth of swimming pool use wave mechanics instead of a "metre" scale of "infinite metres",isn't it?

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Please check !!

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Thank you! Great, keep it up and all the best ! @Deepanshu Gupta

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From where did you learn doppler's effect? Your concepts about doppler's effect and newtonian mechanics are damn very strong....so can you please guide regarding these topics..?

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Actually was taking coaching's for it , from Bansal Classes, jaipur! Newtonian mechanic's really very interesting and easy topic . First thing I recommend you that , " Be confident" and " Believe in yourself " , really I was not so good in mechanic's last year , due to careless study in 11th class , So I have Low confidence . This I realise that intelligence is nothing . It's only depend's on how you enjoy your study's and how's is your confidence. If you wan't to expertise in mechanic's then first say one thing to yourself , "I Love mechanic's and I can do any problem in mechanic's " , beacuse matter is not that , you know less , but matter is that how confident you are to apply all knowledge , which you gain till know . So belief in yourself , and try to co-relate problem's with your real life , this give's you a kind of " feel" which i can't express in word's . And after your Board try to solve problem's with relating it with your real life , and see the magic ! So have gud luck for your upcoming future ! $\ddot\smile$ @Mahimn Bhatt

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I agree completely.

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Thanks for replying..:)

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@Deepanshu Gupta Can you please minimise

acos(x-y) + bcos(y-z) + c cos(z-x)where a,b,c are known constants, just minimise, no need to find the values of x,y,z for that,

or atleast give a hint :) thanks

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Is the answer $\dfrac{a^2b^2 + b^2c^2 + c^2a^2}{2abc}$ ?

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I have solved it bro, now i dont know the explicit expression as i directly input values and solved,

but your answer is correct, , the answer is 29 I got it the partial derivative way,

a=12 b=24 c=16

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@Mvs Saketh Try it differently. The solution to that question was of course, posted by the author of this message board(coincidence?). Try to do it (complex)algebraically. I followed this approach and got stuck somewhere around here.

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Done :) but used my way only ,

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Are you trying the problem Too Complex to solve

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indeed

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Heres my progress, since it is invariant under rotation (that is only the relative position of x,y,z matter)

so i can fix any one of them, so i fixed x=0

to get a resultant equation, here however i cannot do what i want ,

the resultant equation is simply

$acos(y)\quad +\quad bcos(z)\quad +\quad c\quad cos(y-z)=f$

so i tried to use partial differentiation to equate

$\frac { \delta f }{ \delta y } =0\quad =\quad -asin(y)\quad -c\quad sin(y-z)\\ \\ \frac { \delta f }{ \delta z } =0\quad =\quad -bsin(z)\quad +\quad c\quad sin(y-z)$

This is solveable now ( i have posted the solution in the respective problem),, i was hoping for some geometric insight,

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If x,y,z are not distinct , then obeviously answer will be a+b+c . Could You Please Specify whole question please @Mvs Saketh

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i am sorry, not maximise, minimise, i am really sorry, you see bro, to minimise, i thought it might be -a-b-c, but for that we need x-y = (odd) pi and y-z = (odd)pi and x-z= odd(pi)

but the problem is (x-z) = (x-y+y-z) = (x-y) +(y-z) = odd pi + odd pi = even pi,

which contradicts, hence all cant be minimum or -1 simultaneously,

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Give me a chance , I will Try it .... wait what are x,y,z ?

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varriables, belong to R, but for convenience you may restrict domain to (0,2pi) it wont affect

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If you don't mind, can you please tell me from where do you study physics??

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Actually I go to coaching , and if you are asking for book's , then I did not use book's as much , rather i prefer to study in depth and in meaningfull way. So thing's will automatically going simple , But Yes I some time Prefer H.C Verma for practising ! @Harsh Shrivastava

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Thanks!

Best oF LUCK for JEE!!

ALSO "wewontgiveitback"

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How are you preparing for jee and how are studies going? Congrats 500 followers and a mesasgeboard.

Your status is really awesome Mauka -Mauka , I also adopted that .Nice profile pic.

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Thank you , I love this add series very much , Hope we will continued our streak in world cup !

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Thanks, It's fine , Currently I'am Focusing on Revision of chemistry , I'am reading theoretical chapter's , and solving previous Year JEE main's and advance Paper's , also model's paper's . Also focussing on my Speed , Like I hide my calculator ! So overall it's fine ! $\ddot\smile$ @GAUTAM SHARMA

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cool!!

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