MENU

Chapter 2 Structure of The Atom Solutions

Question - 31 : - How many electrons in an atom may have thefollowing quantum numbers?
(a) n = 4 ; ms = -1/2
(b) n = 3, l = 0.

Answer - 31 : -

(a) For n = 4
Total number of electrons = 2n2 = 2 × 16 = 32
Half out of these will have ms = —1/2
Total electrons withms (-1/2) = 16
(b) For n = 3
l= 0 ; ml = 0, ms +1/2, -1/2 (two e)

Question - 32 : - Show that the circumference of the Bohr orbitfor the hydrogen atom is an integral multiple of the de Broglie wavelengthassociated with the electron revolving around the orbit.

Answer - 32 : -

Thus, thecircumference (2πr) of the Bohr orbit for hydrogen atom is an integral multipleof the de Broglie wavelength.

Question - 33 : - Calculate the number of atoms present in :
(i) 52 moles of He
(ii) 52 u of He
(iii) 52 g of He.

Answer - 33 : -

Question - 34 : - Calculate the energy required for the process:
He+fe) → He2+(g)+ e
The ionisation energy’ for the H atomin the ground state is 2.18 × 10-18  J atom-1

Answer - 34 : -

For H atom (Z = 1), En =2.18× 10-18 × (l)2 J atom-1 (given)
For He+ ion (Z = 2), En =2.18 × 10-18 ×(2)2 = 8.72 × 10-18 J atom-1 (oneelectron species)

Question - 35 : - If the diameter of carbon atom is 0.15 nm,calculate the number of carbon atoms which can be placed side by side in astraight line across a length of a scale of length 20 cm long.

Answer - 35 : -

Question - 36 : - 2 × 108 atoms of carbon arearranged side by side. Calculate the radius of carbon atom if the length ofthis arrangement is 2.4 cm.

Answer - 36 : - The length of the arrangement = 2.4 cm
Total number of carbon atoms present = 2 ×108

Radius of each carbonatom = 12(1.2 × 10-8) = 6.0 × 10-9cm = 0.06 nm

Question - 37 : - A certain particle carries 2.5 x 10-16 Cof static electric charge. Calculate the number of electrons present in it.

Answer - 37 : -

Question - 38 : - In Millikan’s experiment, the charge on theoil droplets was found to be – 1.282 x 10-18C. Calculate the numberof electrons present in it.

Answer - 38 : -

Question - 39 : - In Rutherford experiment, generally the thinfoil of heavy atoms like gold, platinum etc. have been used to be bombarded bythe a-particles. If a thin foil of light atoms like aluminium etc. is used,what difference would be observed from the above results?

Answer - 39 : -

We have studied thatin Rutherford’s experiment by using heavy metals like gold and platinum, alarge number of a-particles sufferred deflection while a very few had toretrace their path.

If a thin foil oflighter atoms like aluminium etc. be used in the Rutherford experiment, thismeans that the obstruction offered to the path of the fast moving a-particleswill be comparatively quite less.

As a result, thenumber of a-particles deflected will be quite less and the particles which aredeflected back will be negligible.

Question - 40 : - Symbols 7935Br and 79Brcan be written whereas symbols 3579Br and 35Br are not accepted. Answer in brief.

Answer - 40 : -

In the symbol BAX ofan element :
A denotes the atomic number of the element
B denotes the mass number of the element.
The atomic number of the element can be identified from its symbol because notwo elements can have the atomic number. However, the mass numbers have to bementioned in order to identify the elements. Thus,
Symbols 7935Br and 79Br are accepted because atomicnumber of Br will remain 35 even if not mentioned. Symbol 3579Br isnot accepted because atomic number of Br cannot be 79 (more than the massnumber = 35). Similarly, symbol 35Br cannot be accepted because mass number hasto be mentioned. This is needed to differentiate the isotopes of an element.

Free - Previous Years Question Papers
Any questions? Ask us!
×