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Gaurav Gupta sir

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Channel address: @gaurav_gupta_official
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Language: English
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Hey guys this is my official channel. Will upload DPPs and all the resources related to NEET physics here..:)

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The latest Messages 25

2021-10-28 06:03:57
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2021-10-23 10:05:02 Notes on Atomic Physics


e/m of an electron (Thomson Method):-

(a) e/m of a particle is called the specific charge of the particle.

e/m = v/rB

Here, r is the radius of curvature, B is the strength of magnetic field, v is the velocity, e is the charge on cathode ray particle and m is the mass.

(b) v = E/B

Electric field:- E = V/d

Photo electric effect:- Photo-electric effect is the phenomenon of emission of electrons from the surfaces of certain substances, mainly metals, when light of shorter wavelength is incident upon them.

Effect of collector’s potential on photoelectric current:-

(a) Presence of current for zero value potential indicates that the electrons are ejected from the surface of emitter with some energy.

(b) A gradual change in the number of electrons reaching the collector due to change in its potential indicates that the electrons are ejected with a variety of velocities.

(c) Current is reduced to zero for some negative potential of collector indicating that there is some upper limit to the energy of electrons emitted.

(d) Current depends upon the intensity of incident light.

(e) Stopping potential is independent of the intensity of light.

Effect of intensity of light:- The photoelectric currentis directly proportional to theintensity of incident radiation.

Effect of frequency of light:-

(a) Stopping potentialdepends upon thefrequency of light. Greater the frequency of light greater is the stopping potential.

(b) Saturation current is independent of frequency.

(c) Threshold frequency is the minimum frequency, that capable of producing photoelectric effect.

Laws of Photoelectricity:-

(a) Photoelectric effect is an instantaneous process.

(b) Photoelectric current is directly proportional to the intensity of incident light and is independent of its frequency.

(c) The stopping potential and hence the maximum velocity of the electrons depends upon the frequency of incident light and is independent of its frequency.

(d) The emission of electrons stops below a certain minimum frequency known as threshold frequency.

Energy contained in bundle or packet:-

E = hf = hc/λ

Here h is the Planck’s constant and f is the frequency.

Work function:- It is defined as the minimum energy required to pull an electron out from the surface of metal. It is denoted by W0.

Einstein’s equation of photoelectric effect:-

(a) ½ mvmax2 = hf – W0

(b) ½ mvmax2 = hf – hf0 = h(f- f0) = h [c/λ – c/λ0]

(c) eV0 = hf - W0

(d)V0 = [(h/e)f] – [W0/e]

Here f0 is threshold frequency.

Threshold frequency (f0):- f0 = work function/h = W/h

Maximum kinetic energy of emitted photo electrons:-

?Kmax= ½ mvmax2 = eV0

Threshold wavelength:- λ0 = c/f0 = hc/hf0 = hc/W

Slope of V0~ v graph:- Slope= h/e

Rest mass of photon = 0, Charge = 0

Energy of photon:- E = hf = hc/λ

Momentum of photon:- p = E/c = h/λ = hf/c

Mass od photon:- m = E/c2 = h/cλ = hf/c2

For electron, λe = [12.27/√V]Å

For proton, λp = [0.286/√V]Å

For alpha particle, λα = [0.286/√V]Å

For particle at temperature T, λ = h/√3mKT (E = 3/2 KT)

The wavelength of electron accelerated by potential difference of V volts is:-

λe= [12.27/√V]Å

Number of photons:-

(a) Number of photons per sec per m2, np = Intensity/hf

(b) Number of photons incident per second, np = Power/hf

(c) Number of electrons emitted per second = (efficiency per surface)× (number of photons incident per second)

Compton wave length:-
(a) λc = h/m0c

Here h is the Planck’s constant, m0 is the rest mass of electron and c is the speed of light.

(b) Change in wavelength:- λ' – λ =λc (1-cos?)

de Broglie wavelength (λ):-λ = h/mv = h/√(2mE) = h/√(2meV)
In accordance to Bohr’s postulate of atomic structure, the angular momentum of an electron is an integral multiple of h/2π.

So, mvr = nh/2π

Bragg’s diffraction law:- 2dsinθ = nλ

Here λ is the wavelength of electron and d is distance between the planes.

Rutherford’s atomic model (α-particle scattering):-
(a) N(θ) ∝ cosec4(θ/2)

(b) Impact parameter, b = [(Ze2) (cot θ/2)]/[(4πε0)E]

Here, E = ½ mv2 = KE of theα particle.
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2021-10-23 09:27:02
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2021-10-19 12:27:46 Thermodynamics
✓✓✓✓✓✓✓✓✓✓✓✓

, Basic Terminology

System-

Part of the universe under investigation.

Open System-

A system which can exchange both energy and matter with its surroundings.

Closed System-

A system which permits passage of energy but not mass, across its boundary.

Isolated system-

A system which can neither exchange energy nor matter with its surrounding.

Surroundings-

Part of the universe other than system, which can interact with it.

Boundary-

Anything which separates system from surrounding.

State variables-

The variables which are required to be defined in order to define state of any system i.e. pressure, volume, mass, temperature, surface area, etc.

State Functions-

Property of system which depend only on the state of the system and not on the path. Example: Pressure, volume, temperature, internal energy, enthalpy, entropy etc.

Intensive properties-

Properties of a system which do not depend on mass of the system i.e. temperature, pressure, density, concentration,

Extensive properties-

Properties of a system which depend on mass of the system i.e. volume, energy, enthalpy, entropy etc.

Process-

Path along which state of a system changes.

Isothermal process-

Process which takes place at constant temperature

Isobaric process-

Process which takes place at constant pressure

Isochoric process-

Process which takes place at constant volume.

Adiabatic process-

Process during which transfer of heat cannot take place between system and surrounding.

Cyclic process-

Process in which system comes back to its initial state after undergoing series of changes.

Reversible process-

Process during which the system always departs infinitesimally from the state of equilibrium i.e. its direction can be reversed at any moment.

Irriversible Process-

This type of process is fast and gets completed in a single step. This process cannot be reversed. All the natural processes are of this type.
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2021-10-19 07:22:20
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2021-10-18 10:52:55 Structure of the Atom

By 1900, it was discovered that the atom was not a simple, indivisible particle, but rather it contains sub-atomic particles.
J.J. Thomson discovered the sub-atomic particle namely ‘electron.’
J.J. Thomson was the first person who proposed a model for the structure of an atom.
In 1886, E. Goldstein discovered the presence of new radiations in a gas discharge and named them canal rays.
Another positively charged sub-atomic particle was discovered with experiments of canal rays and named it proton.

Thomson’s Model of Atom
Thomson proposed that an atom consists of a positively charged sphere and the electrons (negative charge) are embedded in it (as shown in the image given below).
Further, Thomson said that the negative and positive charges are equal in magnitude. Thus, the atom as a whole is electrically neutral.

Rutherford’s Model of Atom
E. Rutherford is popular as the ‘Father’ of nuclear physics.
Rutherford is largely known for his work on radioactivity and the discovery of the nucleus of an atom with the gold foil experiment (as shown in the image given below.
Rutherford said that in an atom, there is a positively charged center known as the nucleus.
Rutherford said that nearly all the mass of an atom exists in in the nucleus.
According to Rutherford, the electrons revolve around the nucleus in well-defined orbits.

Bohr’s Model of Atom
Neils Bohr further extended Rutherford’s model and improved his drawbacks.
According to Bohr, only certain special orbits known as discrete orbits of electrons, are allowed inside the atom.
Bohr said that electrons do not radiate energy while revolving in discrete orbits.
Bohr named orbits or shells as energy levels.
Bohr represented these orbits or shells are by the letters K, L, M, N,… or the numbers, n = 1,2,3,4,….

Neutron
In 1932, J. Chadwick discovered a new sub-atomic particle i.e. neutron.
Neutron has no charge and a mass nearly equal to that of a proton.
Neutrons are present in the nucleus of all atoms, except hydrogen.

Electrons Distributed in Different Orbits (Shells)
The maximum number of electrons that can be present in a shell is given by the formula 2n2.
‘n’ is the orbit number or energy level index, i.e. 1, 2, 3,….
According to the given formula −
First orbit i.e. K-shell will be = 2 × 12 = 2
Second orbit i.e. L-shell will be = 2 × 22 = 8
Third orbit i.e. M-shell will be = 2 × 32 = 18
Fourth orbit i.e. N-shell will be = 2 × 42 = 32

Likewise, the maximum number of electrons that can be accommodated in the outermost orbit is 8.
Electrons are not filled in a given shell, unless the inner shells are filled. It means, the shells are filled in a step-wise manner; starting from inner shell to outer shell.

Valence
The electrons, those are present in the outermost shell of an atom, are known as the valence electrons.
According to Bohr-Bury model, the outermost shell of an atom can have a maximum of 8 electrons.

Atomic Number
The total number of protons, present in the nucleus of an atom, is known as atomic number.
The number of protons of an atom determines the atomic number.
Atomic number is denoted by ‘Z’.
Protons and neutrons collectively are known as nucleons.

Mass Number
The sum of the total number of protons and neutrons, present in the nucleus of an atom, is known as mass number.

Isotopes
The atoms of the same element, having the same atomic number but different mass numbers, is known as isotopes. E.g. Hydrogen atom has three isotopes namely protium, deuterium, and tritium.
The chemical properties of isotopes of an atom are similar but their physical properties are different.

Isobars
Atoms of different elements with different atomic numbers, which have the same mass number, are known as isobars. E.g. calcium’s atomic number is 20and argon’s atomic number is 18; further, the number of electrons in these atoms is different, but the mass number of both these elements is 40.
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2021-10-18 10:18:54
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2021-10-16 13:15:38 Points to be notes
Microbes are useful to human and the environment in many ways:

Household Products

Curd- The bacteria Lactobacillus produces lactic acid that partially coagulates the milk protein. It also increases vitamin B12 content. These bacteria are also present in the gut and check the growth of other microbes

Fermented dough to make South Indian delicacies, e.g. Idli and dosa. The dough is fermented due to CO2 production by bacteria

Bread production by using the yeast Saccharomyces cerevisiae

Toddy is made by fermenting Palm sap

Microbes are used to ferment soybeans, fish and bamboo-shoots to prepare delicacies

Different kinds of cheese having different taste and texture, are prepared using specific microorganisms.

E.g. Swiss cheese having large holes- Propionibacterium shermanii

Roquefort cheese- Penicillium roqueforti

Camembert cheese- Penicillium camemberti
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2021-10-16 10:18:33
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