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Theorem:
The inverse of a square matrix if it exists, is unique. Let A be an invertible square matrix. If possible, let B and C be two inverse of A. Then AB = BA = I. AC = CA = I (by def. of inverse) Now, B = BI = B(AC) = (BA)C [ Matrix multiplication is associative] = IC = C i.e., B = C Hence t..
The inverse of a square matrix if it exists, is unique. Let A be an invertible square matrix. If possible, let B and C be two inverse of A. Then AB = BA = I. AC = CA = I (by def. of inverse) Now, B = BI = B(AC) = (BA)C [ Matrix multiplication is associative] = IC = C i.e., B = C Hence t..Nuclear Stability and Neutron/Proton Ratio
Nuclear Stability and Neutron/Proton Ratio - It has been found that the stability of nucleus depends upon its neutron to proton (n/p) ratio. A plot of N (the neutron number) against Z (atomic number or number of protons) show that for stab..
Nuclear Stability and Neutron/Proton Ratio - It has been found that the stability of nucleus depends upon its neutron to proton (n/p) ratio. A plot of N (the neutron number) against Z (atomic number or number of protons) show that for stab..Representative periodic table up to Ca with electronic configuration of elements
Group A 1A 2A 3A 4A 5A 6A 7A 0 Period 1 1 H 2 He Period 2 3 Li 2,1 4 Be 2,2 5 B 2,3 6 C 2,4 7 N 2,5 8 O 2,6 9 F 2,7 10 Ne 2,8 Period 3 11 Na 2,8,1 12 Mg 2,8,2 13 Al 2,8,3 14 Si 2,8,4 15 P 2,8,5 16 S 2,8,6 17 ..
The diameter of a proton is about 1 × 10 - 12 mm. Write this num..
The diameter of a proton is about 1 × 10 - 12 mm. Write this number in standard form. => 0.00000000001 or 0.0000000001 or 0.0000000000001 or 0.000000000001..
Atomic Number, Mass Number or Nucleon Number
The nuclei of atoms are made up of protons and neutrons. These two components of the nucleus are referred to as nucleon..
Atomic number
This is the number of protons present in the nucleus or the number of electrons present outside the nucleus. It is denoted by the letter Z. Atomic number (Z) = Nuclear charge or number of protons (p) = Number of electrons ..
Atomic Number
Atomic Number - The number of protons or the number of electrons in an atom in its normal state is called the atomic number and is denoted by Z. The nucleus of every element contains Z protons and some number of neutrons. The ele..
Mass number
The sum of the number of protons and neutrons in the nucleus of an atom is called the mass number. It is represented by the letter A. Mass number (A)= Number of protons (p) + number of neutrons (n) From the knowledge of atomic h..
Oxidation Number
>Each hydrogen atom is having one electron while its nucleus has one proton and so there is no net charge on each atom of hydrogen. The oxidation number of hydrogen in hydrogen molecule is zero. Electrons shared between two unlike atoms are counted with more electronegative atom..
>Each hydrogen atom is having one electron while its nucleus has one proton and so there is no net charge on each atom of hydrogen. The oxidation number of hydrogen in hydrogen molecule is zero. Electrons shared between two unlike atoms are counted with more electronegative atom..Atomic mass, mass number or nucleon number
The total number of protons and neutrons present in one atom of an element is known as its mass number. Mass number = number of protons + number of neutrons It can also be said that: Mass number = Atomic number..
The total number of protons and neutrons present in one atom of an element is known as its mass number. Mass number = number of protons + number of neutrons It can also be said that: Mass number = Atomic number.. Result
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