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^Neutrons

^Neutrons

1. Neutron (discovered by James Chadwick in 1932) is an elementary particle present in the nuclei of all elements except hydrogen.

2. The mass of a neutron is slightly more than that of a proton & is now known to a high degree of accuracy.

It is mn = 1.00866 u = 1.6749×10 27 kg

3. Neutron has no charge. Being neutral

(a) doesn’t interact with electrons & & doesn’t ionize the gas & hence doesn’t produce any track in the Wilson Cloud chamber.

(b) are not repelled or attracted by the nucleus and the electrons of an atom & consequently can easily penetrate heavy nuclei and induce nuclear reactions.

4. Inside a nucleus, a neutron is stable. But outside a nucleus, it is unstable. A free neutron spontaneously decays into a proton, electron and antineutron (an elementary particle with zero charge and zero rest mass) with a mean life of about 1000 s.

^Nucleus of an atom

^Nucleus of an atom

Large angle scattering of α-particles by thin metal foils in Rutherford’s experiment revealed

1. Nuclear size is found to be of the order of 1014 m whereas the diameter of an atom is of the order of 1010 Hence most of the atom is empty or nucleus of an atom is a very tiny central region.

2. Charge of a nucleus of atomic number Z = +

3. More than 99.9% of the mass of an atom is concentrated in the nucleus.

^Painter’s chair

^Painter’s chair

A person of mass M is standing in a box of mass m and pulling the same box with acceleration a by applying a force F as shown in the diagram. Let N is the force on man by box.

System, FBD & Newton’s law 

Rope (massless): 0. a = T – F

Person (M) : Ma = (T + N) – Mg

Box (m):  ma = T – (N + mg)

Simplifying these equations we get,

 

^Facts

^Facts

  1. In an H-atom the energy gap of any transition is not enough to emit X- Electronic transitions in an H-atom can produce IR, UV & visible radiations only.
  2. Production of the X-rays is an atomic phenomenon whereas the production of γ-rays is a nuclear

^Bragg’s law

^Bragg’s law

If d is the spacing of the crystal planes, then diffraction of X-rays takes place according to the Bragg  law : d sin θ = nλ

Here n = 1, 2, 3, _ _ _ _ _ _ _ _ & ‘θ’ is the angle of diffraction or grazing angle.

^Intensity & penetration of X-rays

^Intensity & penetration of Xrays

  1. X–rays with high penetration power (wavelength range 1 A0 to 10 A0) are called hard. X-rays with low penetration power are called soft (wavelength range 10 A0 to 100 A0). Hard X-rays are produced at comparatively low pressure & high potential than soft X-rays.
  2. The intensity & penetration of X-rays obtained by a Coolidge tube may be controlled independently.
  3. The faster the incident electrons, the more penetrating the resulting X- Greater the number of electrons striking the target greater will be the intensity of the X-ray beam.

^Auger or radiation less inner photo electric effect

^Auger or radiation less inner photo electric effect

Some times the energy emitted due to transition of electrons from one orbit to another is reabsorbed by another & that electron is emitted & consequently two electrons are emitted & no electromagnetic radiation is emitted. This is called Auger effect or Radiation less effect or Inner photoelectric effect.

^Characteristic X – rays

^Characteristic X – rays

If the fast incident electrons collide with the electrons of the inner most level of the heavy target, knock them out. To fill the vacancy created electrons from the higher energy state jump & an X-ray photon of the corresponding energy gap is emitted in accordance with the Bohr’s hypothesis. Such X-rays are called characteristic X-rays.

The frequency (f) of the characteristic X-rays is given by Moseley law:

f  = k ( Z b )2

Here Z is atomic no. & k, b are constants, their values depends on the series transition.

Moseley made an extensive study of the characteristic X-ray spectra of a number of heavy elements. Moseley’s work provided for the first time a way to determine experimentally the atomic number Z of an element. He concluded that the atomic number is more fundamental than atomic weight in the emission of characteristic X-rays & thus the elements in the periodic table must be arranged in the order of increasing atomic number.

^Continuous X-rays

^Continuous X-rays

If the fast incident electrons undergo rapid deceleration by the electric field of the target then continuous (as having all sorts of wavelength) X-rays X-rays also called Bremsstrahlung X-rays are produced. This is the result of the inverse photoelectric effect, as the KE of the incident electrons is transformed into energy of X-ray photons. The minimum wavelength of continuous X-ray is:

^Production of X – rays

^Production of X – rays

If the fast electrons incident on entering a heavy target (a metal piece of high atomic weight & high melting point) X-rays are produced.

Coolidge tube is used in the production of X-rays. It is a hard glass evacuated tube (EGT). One end of the tube has a tungsten filament emitting fast moving electrons (also called cathode rays), while the other end contains the heavy target (HT).

A p.d. » 20 kV is maintained between the cathode and a metallic target accelerates the electrons toward the latter.  In the Coolidge tube it is necessary to maintain vacuum of high order (P = 106 cm of Hg) so that the electrons may not lose energy due to the collisions with gas atoms. Majority part of the KE of the incident electrons is wasted in heating the anode & hence the X-ray production requires targets with high melting such as tungsten. Also cooling of target is required. The efficiency of production of X-rays less than 1%.

X-rays are produced by following two mechanisms

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