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^Maxwell equations

^Maxwell equations

Following five equations give a complete description of all em– interactions and are called Maxwell eq:

^ γ-rays

 – rays

(a) Produced in nuclear reactions and are also emitted by radioactive nuclei (such as Co 60 & Cs 137).

(b) Properties: Effect on photographic plate, fluorescence, ionization, diffraction, high penetrating power & can cause serious damage if absorbed by living tissues.

(c) Used

  1. in radio therapy to treat certain cancers and tumors
  2. to produce nuclear reactions
  3. to study the atomic nuclei.

^Ultraviolet light

^Ultraviolet light

(a) Produced by special lamps like mercury and iron are lamps and by very hot bodies like sun.

(b) Properties: Effect on photographic plate, fluorescence, ionization, highly energetic, tanning of the human skin.

(c) Used

  1. To destroy bacteria and for sterilizing the surgical instruments
  2. In the detection of forged documents finger prints
  3. In burglar alarms etc as they can cause photoelectric effect.
  4. For studying fluorescence
  5. In the study of molecular structure and arrangement of electrons
  6. To prevent the food stuff.

^Visible light

^Visible light

  1. Produced by hot bodies like sun, electric bulbs and tubes etc. as a result of electronic transitions. Our eyes are sensitive to visible light which helps us to collect the information about our surrounding.
  2. Properties: Reflection, refraction, interference, diffraction, polarization, photoelectric effect, photographic action, sensation of sight.

^Infra red waves


^Infra red waves

(a) Also called heat waves & are produced by hot bodies and molecules.

(b) Properties: Heating effect, reflection, refraction, diffraction & propagation through fog.

(c) Used

  1. In taking photographs during the conditions of fog, smoke etc. as these waves are scattered less than visible rays and hence can travel longer distances through atmosphere under fog, smoke etc.
  2. In weather forecasting
  3. In checking the purity of chemicals
  4. In the study of molecular structures
  5. For producing dehydrated fruits
  6. In green houses to keep the plants warm
  7. To provide electrical energy to satellites using solar cells.
  8. To treat muscular strain.
  9. In solar water heaters and cookers.

*Average acceleration

*Average acceleration

Average acceleration is defined as the change in the velocity per unit time spent. If the velocity of a moving body a time t1 when it was at point A is v1.  Let at time t2 it reaches point B where is velocity is v2.

Change in its velocity per unit time spent is called average acceleration for an interval.

For motion along x – axis,

 

^Position of an arbitrary point P at any time is described using cartesian coordinates i.e. P (x,y, z).

Position

^Position of an arbitrary point P at any time is described using cartesian coordinates i.e. P (x,y, z).

For 1 D motion along x axis, y & z coordinates are zero, where as x coordinate may be + ve or – ve.

1, 2 & 3 – D motion

If coordinate required to specify the position of a moving object at any instant are;

  1. then motion is called 1 D e.g. moving along a straight line without turning.
  2. then motion is called 2 D e.g. an object moving along a circle.
  3. then motion is called 3 D e.g. random motion of gas particles

^Two series cells in oppostions

Two series cells in oppostions

As the two cells are opposing thus

ξnet =ξ1 – ξ2 , rnet = r1 + r2

V1 = ξ1 – Ir1, V2 = ξ2 + I r2

^A long horizontal fixed wire carries a current of 100 A. Directly above and parallel to it is another wire carrying a current of 20 A and weighing 0.04 N/m.

^A long horizontal fixed wire carries a current of 100 A. Directly above and parallel to it is another wire carrying a current of 20 A and weighing 0.04 N/m. The separation between the two wires so that the upper wire is just supported by the magnetic repulsion is

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