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Why do two electrons in an orbital have ...

Why do two electrons in an orbital have opposite spin ?

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Because the electrons with parallel or same spin will repel one another.
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STATEMENT-1: An orbital cannot have more then two electrons and they must have opposite spins. STATEMENT-2: No two electrojns in an atom can have same set of all the four quantum numbers as per Pauli's exclusion principle.

The position and energy of an electron is specified with the help of four quantum numbers namely, principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m_l) and spin quantum number (m_s) . The permissible values of these are : n = 1,2..... l = 0,1,.....(n-1) m_l = -l,......0,......+l m_s = +1/2 and -1/2 for each value of m_l . The angular momentum of electron is given as sqrt(l(l + 1)) cdot h/(2pi) While spin angular momentum is given as sqrt(s(s+1)) cdot (h/(2pi)) where s = 1/2 The electrons having the same value of n, l and m_l are said to belong to the same orbital. According to Pauli's exclusion principle, an orbital can have maximum of two electrons and these two must have opposite spin. Which of the following statements is not correct ?

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Assertion (A) : An orbital cannot have more than two electrons, more over if an orbital has two electrons they must have opposite spins. Reason (R) : No elements in an atom can have same set of all four quantum numbers.

DINESH PUBLICATION-STRUCTURE OF ATOM-Additional important questions
  1. Name the quantum number which does not follow from the solution of Sc...

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  2. Which d-orbital does not have four lobes?

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  3. Why do two electrons in an orbital have opposite spin ?

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  4. How many orientations are possible for the orbitals present in the f-s...

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  5. Give the relation between wavelength and momentum of a moving microsc...

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  6. When moving with the same velocity which of the following particles ...

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  8. How do p(x),p(y) and p(z) atomic orbitals differ ?

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  9. How does change in velocity of the moving micro-particle affect the wa...

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  10. Does 4p^(10) configuration make any sense ?

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  11. Write the electronic configuration and number of unpaired electrons in...

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  13. Name the dipositive ion represented by configuration : 1s^(2) 2s^(2) 2...

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  14. Write the values of all the four quantum numbers for the last electron...

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  15. How many orbitals are present in g-subshell ?

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  16. How many electrons can be filled in all the orbitals with n+l=5 ?

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  17. Carbon atom has electronic configuration 1s^(2) 2s^(2)2p(x)^(1)2p(y)^...

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  18. The mass number of an element is twice its atomic number. If there a...

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  19. d(z^(2)) orbital has zero electron density in xy-plane. Comment.

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  20. What will become to the wavelength a moving particle if its velocity i...

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