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Catalogs Discussion Forums -> Mechanics -> Irodov Solutions ! -> Go to message
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hey guys .. i found this site which contains the absolutely correct solutions to Irodov .. the only draw back is that its in russian !! .. but still one can decipher the solutions and methodology (in mechanics at least !! ) by looking at the mathematical steps .. by d way ???????? stands for mechanics etc ..
 
u might have come across this link before but hope this Russian version is a little bit of benefit atleast !!
 
Catalogs Discussion Forums -> Mechanics -> hcv ques (Rotational motion) [rates assured] -> Go to message
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thanks a lot nishant .. !!
Catalogs Discussion Forums -> Physical Chemistry -> atomic structure .. conceptual [rates assured ] -> Go to message
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k here's another mind boggling ques ..
 
we say that electron cloud of p-orbital is distributed on both sides of the planar node and we also say there is zero probability for an electron to exist in the planar node of p-orbital .. then how does the electron travel from upper electron density region to lower lobe (of the p-orbital) .. i would really appreciate if someone can briefly explain the movement of an electron in p-orbital ..
 
Hope my question is clear ..
Catalogs Discussion Forums -> Mechanics -> hcv ques (Rotational motion) [rates assured] -> Go to message
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someone plz help out !!
Catalogs Discussion Forums -> Physical Chemistry -> atomic structure [rates assured for a logical ans !! ] -> Go to message
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rakesh is rite .. but my question is why is it taken 0 despite the fact that it is executing rotational motion !!
Community shelf Community shelf -> A good collection (quotes) -> Go to message
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thanks !
Catalogs Discussion Forums -> Mechanics -> hcv ques (Rotational motion) [rates assured] -> Go to message
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Q. A uniform rod of length L rests against a smooth roller (shown in fig in the bk) . Find the friction coeffecient between the ground and the lower end if the minimum angle that the rod can make with the horizontal is  .
 
[pg 198 Q.45
Ans: (Lcossin2)/(2h-Lcos2 sin)   ]
 
Community shelf Community shelf -> A good collection (quotes) -> Go to message
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·         Don't complain about others; change yourself if you want peace.
·         It is easier to protect your feet with slippers than to cover the earth with carpet.
·         No one can go back and change a bad beginning, but anyone can start now and create a successful ending.
·         Easy is to judge the mistakes of others. Difficult is to recognize our own mistakes.
·         If a problem can be solved, no need to worry about it. If a problem cannot be solved what is the use of worrying?
·         Nothing can be changed by "Changing the Face". But everything can be changed by "Facing the Change".  
·         Be bold when you loose and be calm when you win.  
·         No one will manufacture a lock without a key.  Similarly god won't give problems without solutions.  
·         Every successful person has a painful story.  Every painful story has a successful ending.  Accept the pain and get ready for success.    
·         Heated gold becomes ornament.  Beaten copper becomes wires.  Depleted stone becomes statue.  So the more pain your get in life you become more valuable.  
·         Mistakes are painful when they happen.  But years later collection of mistakes is called experience, which leads to success.  
·         Life laughs at you when you are unhappy.......Life smiles at you when you are happy...... Life salutes you when you make others happy......
·         If you miss an opportunity don't fill the eyes with tears.  It will hide another better opportunity in front of you .
Catalogs Discussion Forums -> Physical Chemistry -> atomic structure [rates assured for a logical ans !! ] -> Go to message
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Any particle executing motion about a fixed point possesses angular momentum,then why do we take angular momentum of an electron in s-orbital to be 0 ??  
Community shelf Community shelf -> LETTER FROM GOD............................. -> Go to message
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nice one deedee !!
Community shelf Community shelf -> The mayonnaise jar .. -> Go to message
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thanks sohitaa
Community shelf Community shelf -> The mayonnaise jar .. -> Go to message
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thanks a lot deedee and niki !
Community shelf Community shelf -> P & C [Level up !! ] -> Go to message
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thanks RYU !
Community shelf Community shelf -> The mayonnaise jar .. -> Go to message
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Guess u guys must have come across this meaningful article somewhere .. But i just thought of sharing it with everyone ..
The Mayonnaise Jar and 2 Cups of Coffee
 
When things in your life seem almost too much to handle;
when 24 hours in a day are not enough;
 remember the mayonnaise jar and the 2 cups of coffee...
 
A professor stood before his philosophy class and had some items in  front of him.
 
When the class began,
he wordlessly picked up a very large and empty mayonnaise jar
and proceeded to fill it with golf balls.
 
 
He then asked the students if the jar was full.
They agreed that it was.
 
The professor then picked up a box of pebbles and poured them into the jar.
He shook the jar lightly.
The pebbles rolled into the open areas between the golf balls.
 
He then asked the students again if the jar was full.
They agreed it was.
 
The professor next picked up a box of sand and poured it into the jar.
Of course, the sand filled up everything else.
 
He asked once more if the jar was full.
The students responded with an unanimous "yes."
 
The professor then produced two cups of coffee from under the table and
poured the entirecontents into the jar,
effectively filling the empty space between the sand.
 
The students laughed.
 
"Now," said the professor as the laughter subsided,
"I want you to recognize that this jar represents your life.
 
The golf balls are the important things
--your family, your children, your health, your friends and your favorite passions---
and if everything else was lost and only they remained;
your life would still be full.
 
The pebbles are the other things that matter;
like your job, your house and your car.
 
The sand is everything else---the small stuff.
 
"If you put the sand into the jar first," he continued,
"there is no room for the pebbles or the golf balls.
 
The same goes for life.
 
If you spend all your time and energy on the smallstuff,
 you will never have room for the things that are important to you.
 
"Pay attention to the things that are critical to your happiness.
There will always be time to clean the house and fix the disposal.
 
Take care of the golf balls first
--the things that really matter--
 
Set your priorities.
"The rest is just sand."
 
One of the students raised her hand and inquired what the coffee represented.
 
The professor smiled.
"I'm gladyou asked."
 
"It just goes to show you that no matter how full your life may seem;
there's always room for  a couple of cups of coffee with a friend
 
:-)
Community shelf Community shelf -> P & C [Level up !! ] -> Go to message
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ok guys these are some useful concepts which can help u solve a vast variety of problems on P & C ..
 
Lets start with a ques and then we can generalize the concept :
 
i.e. Let set A consist of n elements . Subsets P&Q are taken out of A with replacement. Find the no. of ways so that
i) PQ =  
=> In such q's we consider a paricular element of set A, say A3
Now A3 can be in either P or Q or in both or in neither (i.e. 4 cases).. looking at the above condition, the "both" case is not to be taken into consideration,
hence total no. of ways = 3*3* ...... n times
                                 => 3n ways
 
generalizing this q, in case of N no. of sets
Total no. of possibilities(for one element, say A3) will be (2N - 1) (for case (i) to be true)
=> because each element has two possibilities i.e. it can be either in a paricular set or not and -1 is the case when the element is in all sets ..
 
ii) Similarly ,
   for |PQ| = 1
Total no. of ways will be nC1 * 3n-1  (guess u can figure out the logic urself .. )
 
Other Types (Some useful results on composite nos. )
 
Consider N = ap * bq * cr  ..... where a,b,c .... are distinct primes
 
i) No. of divisors = (p+1) *(q+1)*(r+1) .......
 
and no. of proper divisors will be[ (i) - 2 ] (i.e. excluding 1 and the no. itself)
 
ii) Sum of divisors is
    (ap+1 -1) /(a-1) * (bq+1 -1)/(b-1) ..... (derived using concept of GP)
 
iii) No. of ways in which N can be resolved as a product of 2 factors is
       
    a) if N is not perfect square (i.e. if either p or q or r .... is odd)
=> no.of ways = 1/2 (p+1)(q+1)(r+1) ....
   
    b) If N is a perfect square (i.e. p and q and r .... are even )
=> no. of ways = 1/2 (p+1)(q+1)(r+1) ....... + or - 1
   + 1  when the leftover single factor is to be included
and - 1 if it is to be excluded ..
 
iv) No. of ways in which N can be resolved as a product of two co-prime factors is given by :
 => 2 n-1 ways .. where n is the no. of distinct primes
 
For expln of any of the 4 parts stated above , do nudge me ..
Anyways I'll continue with this essay later on ..
 
Hope u find this useful .. If u do plz do rate me ..
 
Thanks ..
 
 
 
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