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True Discount and Banker's Discount problems tricks in Hindi | fast track formulae for problem solving.

TRUE DISCOUNT AND BANKER'S DISCOUNT TRICKS IN HINDI

TRUE DISCOUNT 1). वास्तविक बट्टा = मिश्रधन - वर्तमान धन
2). यदि ब्याज की दर r% वार्षिक , समय t व वर्तमान धन (pw) है, तो वास्तविक बट्टा = PW×r×t/100
3). यदि r% तथा समय t के बाद देय धन A है, तो तत्काल धन pw = 100×A/(100+r.t)
4). यदि देय धन A पर r% व समय t दिए गए है, तो वास्तविक बट्टा = A.r.t /(100+r.t)
5). यदि किसी निश्चित समय के पश्चात निश्चित वार्षिक दर पर, देय धन पर वास्तविक बट्टा (TD) व समान समय व दर के लिए साधारण ब्याज (SI) हैं, तो देय धन A =      SI × TD/(SI - TD)
6). यदि t समय पश्चात r% वार्षिक दर पर, देय धन पर वास्तविक बट्टा (TD) व साधारण ब्याज (SI) है , तो -  SI - TD = TD×r×t/100
7). t वर्ष बाद r% चक्रवृद्धि दर पर देय धन A का तत्काल धन (PW) = A/(1+r/100)^t   व वास्तविक बट्टा = A - PW
BANKER'S DISCOUNT1). महाजनी बट्टा = शेष समय (समाप्त न हुए समय) के लिए बिल पर ब्याज = बिल की राशि × दर × शेष समय /100
2). महाजनी लाभ = महाजनी बट्टा - वास्तविक बट्टा
3). यदि बिल का मान / अंकित मूल्य A है, समय t व दर r% है, तो महाजनी बट्टा = A×r×t/100
4).…

when and why do stars get collapse | what happened to the stars , after the collapsion.

Today we are going to talk about the struggle of the stars, not only the life of human beings are full of struggle ,whereas the star's life is also full of struggle. As same as living things , stars also born,  become old and finally get death.
When any living things get death, then what we call it, probably we called that his/her soul get escaped from their body.
But what will we call in the context of star death? In the reference to stars ,it is little different.
COLLAPSING  is the term which is used to describe the death of stars. So today we are going to understand that why do the stars get collapse?
First of all let's understand the meaning of collapse and sometime it is also called Gravitational collapse. Collapsing means pulled up of all the mass into a small point due to high Gravitational force.
when and why do stars get collapse | what happened to the stars , after the collapsion.
Gravitational collapse is process due to which an astronomical object like stars, get contracted towards its centre of gravity in the influence of own gravity. Gravitational collapse is responsible for the death of the stars but also for creation of new stars.

MECHANISM OF THE STARS

If I ask you a simple question that what is stars? Then you would say that a star is a huge ball of plasma or huge ball of fire, which is correct. And we also know that the mass of a star is extremely very large, if it's mass is extremely large then what about its Gravitational force and Gravitational potential energy, if mass is very large then Gravitational force and Gravitational potential energy are also very large. 
And if stars is a huge ball of fire or plasma then it's temperature is also very large,, and if temperature is very large then motion of gas particle is also very large and will apply a large outward pressure. It means kinetic energy of the moving gas of a star is very large.

All interstellar cloud of gas (stars) wants to remain in hydrostatic equilibrium ( equilibrium between the inward Gravitational potential energy and outward gaseous pressure energy) for its existence.
when and why do stars get collapse | what happened to the stars , after the collapsion.
This hydrostatic equilibrium is balanced by kinetic energy of the gaseous pressure which is acting outward and the internal Gravitational potential energy , which is acting inward.  Mathematically this equilibrium is described by the VIRIAL theorem, which states that , for maintaining the hydrostatic equilibrium , the kinetic energy of the gaseous pressure must equal to the twice of the internal thermal energy.  If any massive cluster of hot gases do not follow the above law, then it start COLLAPSING, and this collapsing will halted when a new hydrostatic equilibrium attained. And the mass above which a cluster of hot gases will undergo such a collapse is called Jean mass.

A star always wants to be collapsed, the life span of large stars is small in the comparison small stars. It is because a large stars have very high mass due to this it's internal Gravitational potential energy is very large. Because of having a large star , it is very difficult to maintain the outward gaseous pressure everywhere in the star.
And as a result of this Gravitational potential energy become dominant over kinetic energy of the gaseous pressure. And star starts collapsing.
when and why do stars get collapse | what happened to the stars , after the collapsion.
And above we have said that collapsing of star is also responsible for the creation of the new stars.
Let's talk about this... Always collapsion create compression in the stars. And compression always raised the temperature of the stars. This compression caused by the collapsion of the stars continuously raises the temperature in the star's core untill the thermonuclear fusion reaction did not start again at the centre of the stars and when the outward thermal pressure did not balanced again by the Gravitational force. And when stars energy got exhausted at one hydrostatic equilibrium , then it moved to a new equilibrium point by collapsing again.

The every new collapsion of the stars for attaining a new hydrostatic equilibrium give birth a new stars. Depending on the mass during its lifetime the stellar remanats of stars are classified as follows:

1). WHITE DWARF : which gravity is balanced by electron degeneracy pressure.

2). NEUTRON STAR : which gravity is balanced by the neutron degeneracy pressure.

3). BLACK HOLE : in which there is no enough outward pressure to balanced the Gravitational collapse. 

So this is all about THE STARS STRUGGLE...

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Boat and stream short-tricks in Hindi | Fast track arithmetic formulae for competitive examination.

BOAT AND STREAM (नाव एवं धारा)
1). यदि शांत जल में नाव या तैराक की चाल x किमी/घंटा व धारा की चाल y किमी/घंटा है, तो धारा के अनुकूल नाव अथवा तैराक की चाल = (x+y) किमी/घंटा
2). धारा के प्रतिकूल नाव अथवा तैराक की चाल = (x-y) किमी /घंटा
3). नाव की चाल = (अनुप्रवाह चाल + उद्धर्वप्रवाह चाल)/2
4). धारा की चाल =  (अनुप्रवाह चाल - उद्धर्वप्रवाह चाल)/2
5). यदि धारा की चाल a किमी/घंटा है, तथा किसी नाव अथवा तैराक को उद्धर्वप्रवाह जाने में अनुप्रवाह जाने के समय का n गुना समय लगता है,(समान दूरी के लिए), तो शांत जल में नाव की चाल = a(n+1)/(n-1) किमी/घंटा
6). शांत जल में किसी नाव की चाल x किमी/घंटा व धारा की चाल y किमी/घंटा है, यदि नाव द्वारा एक स्थान से दूसरे स्थान तक आने व जाने में T समय लगता है, तो दोनो स्थानों के बीच की दूरी = T(x^2 - y^2)/2x km
7). कोई नाव अनुप्रवाह में कोई दूरी a घंटे में तय करती है, तथा वापस आने में b घंटे लेती है, यदि नाव कि चाल c किमी/घंटा है, तो शांत जल में नाव की चाल = c(a+b)/(b-a) km/h
8). यदि शांत जल में नाव की चाल a किमी/घंटा है, तथा वह b किमी/घंटा की चाल से बहती हुई नदी में गत…

Emergence of British East India Company as an Imperialist Political Power in India

EMERGENCE OF BRITISH EAST INDIA COMPANY AS AN IMPERIALIST POLITICAL POWER IN INDIA
Dynamically changing India during early eighteenth century had a substantially growing economy under the authority of Mughal emperor Aurangzeb. But after his demise in 1707, several Mughal governors established their control over many regional kingdoms by exerting their authority. By the second half of eighteen century, British East India Company emerged as a political power in India after deposing regional powers and dominating over Mughal rulers. The present article attempts to analyze the reasons for emergence of British East India Company as an imperial political power in India and their diplomatic policies of territorial expansion. In addition to this, I briefly highlighted the Charter Acts (1773, 1793, 1813, 1833 and 1853) to trace its impact on the working process of Company.Establishment of East India Company in India

In 1600, British East India Company received royal charter or exclusive license…

CORONA VIRUS, history of origin , discovery , infection mechanism, symptoms and treatment.

Today we are going to talk about a virus , which is spreading very fastly all over the world. The virus which we are going to talk about is the CORONA VIRUS. So today we will talk about everything of this virus. So let's starts ...

OVERVIEW OF CORONAVIRUS
According to the biological study , Coronavirus is a cluster of viruses that causes diseases in birds and mammals. Therefore humans are also mammals then in human being this viruses cause respiratory infections , and one of the respiratory infections is mild common cold. Coronavirus can lead to diarrhea in cows and pigs but in chicken they can cause upper respiratory infections. Currently there is no vaccine or antiviral drugs for the treatment of diseases caused by Coronavirus.
BIOLOGICAL INTRODUCTION OF coV
The family of Coronavirus is coronaviridae, and it's subfamily is Orthocoronavirinae and order is Nidovirales, Coronavirus is a member of Orthocoronavirinae subfamily. All Coronavirus is coated with positive sense single …

Three dimensional geometry (part-1) | study material for IIT JEE | concept booster , chapter highlights.

THREE DIMENSIONAL GEOMETRY

ORIGIN
In the following diagram X'OX , Y'OY and Z'OZ are three mutually perpendicular lines , which intersect at point O. Then the point O is called origin.
COORDINATE AXES 
In the above diagram X'OX is called the X axes, Y'OY is called the Y axes and Z'OZ is called the Z axes.
COORDINATE PLANES 
1). XOY is called the XY plane. 2). YOZ is called the YZ plane. 3). ZOX is called the ZX plane.
If all these three are taken together then it is called the coordinate planes. These coordinates planes divides the space into 8 parts and these parts are called octants.
COORDINATES  Let's take a any point P in the space. Draw PL , PM and PN perpendicularly to the XY, YZ and ZX planes, then
1). LP is called the X - coordinate of point P. 2). MP is called the Y - coordinate of point P. 3). NP is called the Z - coordinate of the point P.
When these three coordinates are taken together, then it is called coordinates of the point P.
SIGN CONVENTI…

Speed , Distance and Time problems tricks in Hindi | fast track arithmetic formulae for problem solving.

SPEED , DISTANCE AND TIME PROBLEMS TRICKS IN HINDI
1). दूरी = चाल × समय
2). समय = दूरी/चाल
3). चाल = दूरी/समय
4). किलोमीटर को मील बनाने के लिए गुना किया जाता है =       5/8 से
5). मील को किलोमीटर बनाने के लिए गुना किया जाता है =       8/5 से
6). फुट - सेकंड को मील - घंटा बनाने के लिए गुना किया जाता है = 15/22 से
7). मील - घंटा को फुट - सेकंड बनाने के लिए गुना किया जाता है = 22/15 से
8). मी - सेकंड को किमी - घंटा बनाने के लिए गुना किया जाता है = 18/5 से
9). किमी - घंटा को मी - सेकंड बनाने के लिए गुना किया जाता है = 5/18 से
10). यदि एक व्यक्ति दो निश्चित स्थानों के बीच की दूरी a किमी/घंटा की चाल से खत्म करता है, तो t1 घंटे देर से पहुंचता है, तथा जब b किमी/घंटा की चाल से तय करता है, तब वह t2 घण्टे पहले पहुंचता है, तो दोनो स्थानों के बीच की दूरी =     ab(t1+t2)/(b-a) km
11). यदि कोई व्यक्ति a km/h की चाल से चलता है, तो वह अपनी मंजिल पर t1 घंटे लेट पहुंचता है, अगली बार वह अपनी चाल में b km/h की वृद्धि करता है, तो वह t2 घंटे लेट पहुंचता है, तब उसके द्वारा तय की गई दूरी = a(a+b)(t1-t2)/b
12). दो व्यक्ति X …