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Factorization of Polynomials
You know that any polynomial of the form p(a) can also be written as p(a) = g(a) x h(a) + R(a) it implies that Dividend = Quotient X Divisor + Remainder. If the remainder is zero, then p(a) = g(a) x h(a). That is, the polynomial p(a) is a product of two other polynomials h..
Factorisation of Polynomials
Factorisation of Polynomials - You know that any polynomial of the form p(a) can also be written as If the remainder is zero, then p(a) = g(a) x h(a). That is, the polynomial p(a) is a product of two other polynomials g(a) and h(a). For example, 3a + 6a 2 = 3a x (1 + 2a). It may..
Quantum Numbers
Schrodinger wave equation, when solved for hydrogen atom gives mathematical Y functions, which describe the allowed energy states in an atom. It is observed that physical meaningful solutions required three constants n, l and m, which are called quantum numbers. Each electron in..
Quantum Numbers
Schrodinger wave equation, when solved for hydrogen atom gives mathematical Y functions, which describe the allowed energy states in an atom. It is observed that physical meaningful solutions required three constants n, l and m, which are called quantum numbers. Each ele..
Quantum Numbers
Orbitals of electrons in atoms differ in size shape and orientation. Definite energies and angular movements characterize atomic orbitals. The state of an electron in any atom is defined by certain permissible values of energy and angular momentum, which describe its location with respect to its nu..
Azimuthal quantum number or angular quantum number
The Azimuthal quantum number determines the angular momentum of the electron, denoted by the letter 'l'. The value of 'l' gives the sub level or sub shell in a given principal energy shell to which the electron belongs. It can have only positive integral values from zero to (n-..
Principal Quantum Number (n)
principal quantum number determines the energy of the shell This quantum number determines the main energy level or shell in which an electron is present. It is usually denoted by n and can have any whole number value such as: n = 1, 2, 3, 4 .. etc. The various values of n as 1, 2, 3, 4 .etc., are also called K, L, M, N etc. If..
Spin Quantum Number (s)
Spin Quantum Number (s) - It is observed that the electron is not only revolving around the nucleus but it is also spinning on its own axis. The spin of the electron produces a small magnetic field as a result of which the electron behaves as a 'tiny magnet'. This quantum..
Spin Quantum Number (s)
It is observed that the electron is not only revolving around the nucleus but it is also spinning on its own axis. The spin of the electron produces a small magnetic field as a result of which the electron behaves as a 'tiny magnet'. This quantum number describes the spin ..
Principal Quantum Number (n)
This quantum number determines the main energy level or shell in which an electron is present. It is usually denoted by n and can have any whole number value such as: n = 1, 2, 3, 4 .. etc. The various values of n as 1, 2, 3, 4 .etc., are also called K, L, M, N e..
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