Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ?

(a) An electron in an orbital of high angular momentum stays away from the nucleus than an electron in orbital of lower angular momentum .

(b) For a given value of the principal quantum number , the size of the orbit is inversely propotional to the azimuthal quantum number .

(c) According to wave mechanics , the ground state angular momentum is equal to \frac{h}{2\pi } .

(d) The plot of   \psi \; \; Vs\: \: r    for various azimuthal quantum numbers , shows peak shifting towards higher r value .

  • Option 1)

    (a) ,(c)

  • Option 2)

    (b) ,(c)

  • Option 3)

    (a) ,(d)

  • Option 4)

    (a) ,(b)

Answers (1)
A admin

 

Planck’s Quantum Theory -

Atom and molecules could emit (or absorb) energy only in discrete quantities known as quanta and not in a continuous manner.

-

 

 

Principal Quantum Number -

The principal quantum number determines the size and too large extent the energy of the orbital.

-

 

 

Principal Quantum Number (n) -

 It is a positive integer with value of n = 1,2,3.......

-

 

 

Azimuthal Quantum Number(l): -

It defines the three-dimensional shape of the orbital.

-

 

De-broglie wavelength -

\lambda = \frac{h}{mv}= \frac{h}{p}

- wherein

where m is the mass of the particle

v its velocity 

p its momentum

The concept is in page no 57 class 11th Pwct NCERT books. 

Statement options (a) and (d) are correct and statement (C) \frac{h}{2\pi } is wrong because it's \frac{h}{4\pi }. Page no. 51.

 

 


Option 1)

(a) ,(c)

Option 2)

(b) ,(c)

Option 3)

(a) ,(d)

Option 4)

(a) ,(b)

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