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00:00:00So, this is the formula for taking the bag of any number of electrons in any number of
00:00:07ways.
00:00:08This formula is very important.
00:00:09This will take a lot of work for me when we do the math.
00:00:13For those who have not seen this formula proof yet, I would like to say that there is no
00:00:18formula proof in the exam, but you have to remember this formula.
00:00:21We will do the math with this formula.
00:00:23So, the formula that I gave 3 stars in the last box, I have to remember this formula.
00:00:28When we do the math, it will be clear.
00:00:40Raj has asked a very wonderful question.
00:00:43We can get the bag number from NH by 2 pi, MVR equals to NH by 2 pi.
00:00:51So, why did you get this formula with so much difficulty?
00:00:54Listen to this answer carefully.
00:00:58MVR equals to NH by 2 pi.
00:01:00With this formula, everyone's bag will not be taken out.
00:01:04Only the bag of the number of electrons will be taken out.
00:01:14I repeat, everyone's bag will not be taken out.
00:01:19Only the bag of the number of electrons will be taken out.
00:01:25This is the biggest limitation of the bag number model.
00:01:29So, how many people will take out the bag number model in the case of a particular number of electrons?
00:01:33The answer is 1 in the case of a particular number of electrons.
00:01:36Everyone will not take it out.
00:01:37So, the formula that you have made here, z by n into 2.18 into 10 to the power 6, and
00:01:43you are saying that everyone will take it out.
00:01:45Then, what will be the number of electrons?
00:01:46Meter per second.
00:01:48You got the number of electrons.
00:01:49Is this the answer for everyone?
00:01:51The answer is yes.
00:01:52Everyone will take it out.
00:01:56Raj, I hope you understood.
00:01:57He asked a very good question.
00:02:05Now, we will go to the radius.
00:02:07We took out the bag.
00:02:08I took out the bag number for a theoretical argument.
00:02:10Now, we will basically take out the bag number.
00:02:13So, as before, we know that f c equals f c prime.
00:02:22We already know the formula for f c.
00:02:241 by 4 pi epsilon naught z e square divided by r square equals m v square by r.
00:02:36z e square by r square.
00:02:39m v square by r.
00:02:48z e square divided by 4 pi epsilon naught r equals m v square.
00:02:57z e square divided by 4 pi epsilon naught.
00:03:17into m v square equals r.
00:03:28f c is the center of mass and f c prime is the center of mass.
00:03:30One is the column ball and the other is the center of mass ball.
00:03:32Now, we will put some value in this v square.
00:03:40We will put some value in v square.
00:03:42What value will we put?
00:03:43We have already taken out a value of v.
00:03:45z by n.
00:03:47We have already taken out a value of v.
00:03:49z by n into 2.18 into 10 to the power 6.
00:03:56This is the simplified formula.
00:03:57There is another formula.
00:03:58Before we take out this formula, we have this.
00:04:01z e square divided by 2 n h epsilon naught.
00:04:05z e square divided by 2 n h epsilon naught.
00:04:11This is also the bagger formula.
00:04:13This is the simplified form.
00:04:14This is the expanded form.
00:04:17This is the bigger formula.
00:04:19This is the simplified form.
00:04:23z e square 4 pi epsilon naught into m into z e square divided by 2 n h epsilon naught
00:04:45z e square 4 pi epsilon naught into m into z e square divided by 2 n h epsilon naught.
00:05:12z e square divided by 4 pi epsilon naught m into
00:05:35z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:06:044 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:06:33naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:07:01z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:07:304 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:07:59naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:08:28z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:08:574 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:09:26naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:09:55z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:10:244 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:10:53naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:11:20z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:11:474 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:12:17naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:12:46z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:13:154 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:13:44naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:14:13z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:14:424 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:15:11naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:15:36z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:16:054 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:16:34naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:17:03epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught
00:17:30m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e
00:17:59square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi
00:18:28epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught
00:18:57m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e
00:18:58square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi
00:18:59epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught
00:19:00m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e
00:19:01square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi
00:19:02epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught
00:19:03m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:19:044 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:19:05naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:19:06z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:19:184 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:19:27naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:19:34z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:19:414 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:19:46naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:19:53z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:20:004 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:20:07naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:20:14z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:20:214 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:20:28naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:20:35z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square
00:20:424 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon
00:20:49naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into
00:20:56z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi
00:21:03epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught
00:21:10m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e
00:21:17square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi
00:21:24epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught
00:21:31m into z e square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e
00:21:38square 4 pi epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi
00:21:45epsilon naught m into z e square 4 pi epsilon naught m into z e square 4 pi.
00:22:15M e to the power 4 z square divided by 8 N square h square epsilon naught square it
00:22:34a goti shakti plus sthiti shakti M e to the power 4 z square divided by 4 N square h square
00:22:45epsilon naught square M e to the power 4 z square divided by 8 N square epsilon naught
00:23:03square minus M e to the power 4 z square divided by 4 N square h square epsilon naught square
00:23:14M e to the power 4 z square divided by 8 N square h square epsilon naught square 1 minus
00:23:292 minus M e to the power 4 z square divided by 8 N square h square epsilon naught square
00:23:41.
00:24:12So, this is the answer to the first question, the answer to the second question, the answer
00:24:40to the second question, the answer to the third question, the answer to the fourth question,
00:25:03the answer to the fifth question, the answer to the sixth question, the answer to the seventh
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