Algebra Formulas collection

  1. (a+b)2 = a2 + b2 + 2ab
  2. (a-b)2 = a2 + b2 – 2ab
  3. (a+b) (a-b) = a2 – b2
  4. (x + a)(x + b) = x2 + (a + b)x + ab
  5. (x + a)(x – b) = x2 + (a – b)x – ab
  6. (a + b)3 = a3 + b3 + 3ab(a + b)
  7. (a – b)3 = a3 – b3 – 3ab(a – b)
  8. (x – a)(x + b) = x2 + (b – a)x – ab
  9. (x – a)(x – b) = x2 – (a + b)x + ab
  10. (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
  11. (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
  12. (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
  13. (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
  14. x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
  15. x2 + y2 =½ [(x + y)2 + (x – y)2]
  16. (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
  17. x3 + y3= (x + y) (x2 – xy + y2)
  18. x3 – y3 = (x – y) (x2 + xy + y2)
  19. x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]


at No comments:

Sacred Games 2 Leaked

Description of  Scared Game 2

The second season of Sacred Games will pick up from where Sartaj Singh, played by Saif Ali Khan, and Ganesh Gaitonde left the game incomplete. Sartaj will learn that there are bigger twists in the game that lies ahead of him and will perhaps deal with the dilemma the trailer ends with - "Is the city worth saving?"

Click on below description to download

https://drive.google.com/open?id=1vm4lim2nywQJrp7w5fmbLRoOfbQAyh5t
at No comments:

UPSC ESE / IES 2019 (Prelims Exam) Question paper & Key

ESE GENERAL STUDIES ENGINEERING APTITUDE 2019


GATE 2019 CUT-OFF



at No comments:

GATE CUT-OFF 2018 & 2019

Happy searching http://physicsknowledge06.blogspot.com/


2018


2019


at No comments:

GATE 2019 CUT-OFF

at No comments:

ESE PRE CIVIL ENGINEERING 2019

at No comments:

ELECTRICAL ENGINEERING 2019

at No comments:

ESE PRE ELECTRONICS TELECOMMUNICATION ENGINEERING 2019

at No comments:

ESE PRE MECHANICAL ENGINEERING PAPER 2019

at No comments:

ESE GENERAL STUDIES ENGINEERING APTITUDE 2019

at No comments:

Imporatant Limitation of Cyclotron

Limitations
  1.  Maintaining  a  uniform  magnetic  field  over  a  large  area  of  the Dees  is  difficult.
  2. At high velocities, relativistic variation of mass of the particle upsets  the  resonance  condition.
  3. At  high  frequencies,  relativistic  variation  of  mass  of  the electron  is  appreciable  and  hence  electrons  cannot  be  accelerated  by cyclotron.
at No comments:

Some Essential Parts of an AC generator

  • Armature

Armature  is  a  rectangular  coil  consisting  of  a  large  number  of loops  or  turns  of  insulated  copper  wire  wound  over  a  laminated  soft iron core or ring. The soft iron core not only increases the magnetic flux but  also  serves  as  a  support  for  the  coil.
  • Field  magnets

The necessary magnetic field is provided by permanent magnets in the  case  of  low  power  dynamos.  For  high  power  dynamos,  field  is provided  by  electro  magnet.  Armature  rotates  between  the  magnetic poles such that the axis of rotation is perpendicular to the magnetic field.

  • Slip  rings

The  ends  of  the  armature  coil  are  connected  to  two  hollow metallic  rings  called  slip  rings.  These  rings  are  fixed  to a shaft, to which the armature is also fixed. When the shaft rotates, the slip  rings  along  with  the  armature  also  rotate.

  • Brushes

 There are two flexible metallic plates or carbon brushes. They provide  contact  with  the  slip  rings  by  keeping  themselves  pressed against  the  ring.  They  are  used  to  pass  on  the  current  from  the armature  to  the  external  power  line  through  the  slip  rings.
at No comments:

Limitation of Cyclotron

Limitations
  1.  Maintaining  a  uniform  magnetic  field  over  a  large  area  of  the Dees  is  difficult.
  2. At high velocities, relativistic variation of mass of the particle upsets  the  resonance  condition.
  3. At  high  frequencies,  relativistic  variation  of  mass  of  the electron  is  appreciable  and  hence  electrons  cannot  be  accelerated  by cyclotron.
at No comments:

Working Principle and construction of Cyclotron

Cyclotron is a device used to accelerate charged particles to high
energies. It  was  devised  by  Lawrence.
Principle
Cyclotron  works  on  the  principle  that  a  charged  particle  moving normal  to  a  magnetic  field  experiences  magnetic  lorentz  force  due  to
which  the  particle  moves  in  a  circular  path.
Construction
It   consists of  a hollow metal cylinder divided into two sections D1 and D2
 called Dees, enclosed in an evacuated chamber. The  Dees  are  kept separated and a source of ions is placed at  the  centre  in  the  gap between  the Dees. They  are  placed  between  the  pole pieces of a  strong  electromagnet.  The  magnetic field  acts  perpendicular  to  the  plane  of the  Dees.  The  Dees  are  connected  to a high frequency oscillator.

Working
When a positive ion of charge  q  and mass  m is emitted from the
source, it is accelerated towards the Dee having a negative potential at
that  instant  of  time.  Due  to  the  normal  magnetic  field,  the  ion
experiences magnetic lorentz force and moves in a circular path. By the
time  the  ion  arrives  at  the  gap  between  the  Dees,  the  polarity  of  the
Dees  gets  reversed.  Hence  the  particle  is  once  again  accelerated  and
moves into the other Dee with a greater velocity along a circle of greater
radius.  Thus  the  particle  moves  in  a  spiral  path  of  increasing  radius
and  when  it  comes  near  the  edge,  it  is  taken  out  with  the  help  of  a
deflector plate (D.P). The particle with high energy is now allowed to hit
the  target  T. When  the  particle  moves  along  a  circle  of  radius  r with  a
velocity v, the magnetic Lorentz force provides the necessary centripetal
force.
Limitations

  1.  Maintaining  a  uniform  magnetic  field  over  a  large  area  of  the Dees  is  difficult.
  2. At high velocities, relativistic variation of mass of the particle upsets  the  resonance  condition.
  3. At  high  frequencies,  relativistic  variation  of  mass  of  the electron  is  appreciable  and  hence  electrons  cannot  be  accelerated  by cyclotron.
at 1 comment:

Magnetic field due to a current carrying circular loop


A   cardboard is  fixed in a horizontal  plane.A  circular  loop
of  wire passes through  two  holes in the cardboard.Iron filings  are sprinkled  over  the cardboard. Current is  passed  through the   loop   and   the card board is gently tapped. It is observed that the iron filings arrange themselves along the resultant magnetic field. The magnetic lines of force are almost circular around the wire where it passes through the cardboard. At the centre of the  loop,  the  line  of  force  is  almost  straight  and  perpendicular  to  the plane of the                                                                                       circular loop.
at No comments:

Maxwells’s right hand cork screw rule


If  a  right  handed  cork  screw  is  rotated  to  advance  along  the direction  of  the  current  through a  conductor,  then  the  direction  of rotation  of  the  screw  gives  the  direction  of  the  magnetic lines  of  force around  the  conductor.
at No comments:

Magnetic field around a straight conductor carrying current


A  smooth  cardboard  with  iron  filings  spread over  it,  is fixed  in  a horizontal  plane  with  the  help of  a  clamp.
A  straight  wire  passes  through  a  hole made at  the  center
of  the  cardboard.
A current is passed through the  wire  by connecting  its ends to a  battery.
When   the cardboard is gently tapped, it is found that the iron filings  arrange  themselves  along  concentric  circles. This clearly shows that magnetic field is developed around  a  current  carrying  conductor.

To find the direction of the magnetic field, let us  imagine,  a  straight  wire  passes  through  the plane of the paper and perpendicular to it. When a compass needle is placed, it comes to rest in such a way that its axis is always tangential to  a  circular  field  around  the  conductor.
When  the  current  is  inwards the direction of the magnetic field around the conductor looks clockwise.
When the direction of the current is reversed, that it is outwards, the direction of the magnetic pole of the compass needle also changes showing the reversal of the direction of the magnetic field. Now, it is anticlockwise around the conductor. This proves that the direction of the  magnetic  field  also  depends  on  the  direction  of  the  current  in  the conductor. This is given by Maxwell’s rule.
at No comments:

Tsunami "the monster wave" Interesting facts and Information





Tsunami a Horrific things ever and ever.

What happen when the wave of tsunami strike to any city of  any country.
It's very horrific experience non of them ever wants to have such kind of experience
what ever comes under this wave yes Huge monster wave drag everything.

Tsunami travel with the average speed of 930 Km/hr.
I call it Ocean Monster.




Today I am going to open the some very interesting fact about tsunami
From ancient time in every where ocean are the great source of Natural resource.
But Beside this there is another face of Ocean when wave adopt the face of tsunami.
It is basically the large version of tidal wave.
How Any one can forgot year 26 dec 2004 , A black year
huge Natural disaster Tsunami in the Indian ocean that take away the life of about 280 thousand people in South Asia.

In Japan 11 March 2011 
there were a earthquake in side the water of the rate 9.3 mega thrust .
it cause the death of about the 18000 peoples and injured about 6500 peoples.
The height of wave was 120 ft and may reach to  1722 ft.
such a huge massive wave unimaginable .

Now How These way are generated 
  1. Land slide
  2. volcanic  eruption
  3. earthquake
when the tectonic plate of earth surface slip over one another then it releases not massive very massive amount of energy under water and it wakeup the sleeping sea.
This energy travel to the upper surface of water and displaces the water surface above the
sea level but due to gravity it again pull the displace water downward which make energy transmit outward in the form of very massive transverse wave.
It travel about 500 mile/hr.

when this high velocity wave come near the bank the depth of sea decrease, due to which these wave height start increasing.
it can rise up to 1750 ft above the normal sea level.
and it adopt the face of Monster Wave.

   

at No comments:

Different Assumption made in the study of kenetic theory of gases



  1. molecule of gas moves all direction with all possible velocity during motion,the molecules colloid with one another but the collision do not effect the molecular density of gases
  2. The motion of molecules is random(the center of mass f gas remain at rest)
  3. Between two collisiona molecules move in straight line with uniform velocity this is because no force act on the particle b/w the collision.The distance covered by molecules is  called mean free path
  4. The diamension of the molecules may be neglected as compared to the dimension of free path.
  5. No approciable force of attraction or repulsion by molecule on in another accept during collision
  6. Collision between  melecules and with the wall of the container or perfectlly elastic and the time of impact is of neglagible duration (elastic collision means no change of linear momentum and kenetic energy ) elastic collision means no change of momentum but energy change
  7. Molecules obey newtons law of motion







at No comments:

Conversion of galvanometer into a voltmeter

Voltmeter   is   an   instrument used  to  measure  potential  difference between  the  two ends  of  a current carrying  conductor.

A  galvanometer      can      be converted    into    a    voltmeter    by connecting   a   high   resistance   in series with it. The scale is calibrated in  volt.  The  value  of  the  resistance connected  in  series  decides  the  range  of  the  voltmeter. Galvanometer  resistance  =  G
The  current  required  to  produce  full  scale  deflection  in  the galvanometer  =  Ig
Range  of  voltmeter  =  V
Resistance  to  be  connected  in  series  =  R
Since R is connected in series with the galvanometer, the current through  the  galvanometer,

Ig =  V/(R + G)

∴R  =  (V/Ig )–  G

From  the  equation  the  resistance  to  be  connected  in  series  with the  galvanometer  is calculated.
The  effective  resistance  of  the  voltmeter  is
Rv =  G  +  R

Rv is very large, and hence a voltmeter is connected in parallel in a circuit as it draws the least current from the circuit.
The  resistance  of  the  voltmeter  should  be  very  large  compared  to  the resistance  across  which  the  voltmeter  is  connected  to  measure  the potential difference. Otherwise, the voltmeter will draw a large current from  the  circuit  and  hence  the  current  through  the  remaining  part  of the circuit decreases. In such a case the potential difference measured by the voltmeter is very much less than the actual potential difference.The error is eliminated only when the voltmeter has a high resistance.
An  ideal  voltmeter  is  one  which  has  infinite  resistance

at No comments:
Subscribe to: Posts (Atom)

Algebra Formulas collection

(a+b) 2  = a 2  + b 2  + 2ab (a-b) 2  = a 2  + b 2  – 2ab (a+b) (a-b) = a 2  – b 2 (x + a)(x + b) = x 2  + (a + b)x + ab (x + a)(x – b) = x ...