1800-150-456-789
FlagBACK
Flag Modern Physics> The ionization energy of a hydrogen like ...
question mark

The ionization energy of a hydrogen like Bohr atoms is 4 Rydbergs. (i) What is the wavelength of the radiation emitted when the electrons jumps from the first excited state to the ground state ? (ii) What is the radius of the first orbit for this atom ?

Radhika Batra , 10 Years ago
Grade 11
anser 5 Answers
Kevin Nash

Last Activity: 10 Years ago

(i) En = - I.E. / n2 for Bohr’s hydrogen atom.
Here, I.E. = 4R ∴ En = -4R / n2
∴ E2 – E1 = -4R / 22 – (- 4R / l2) = 3 R …(i)
E2 - E1 = hv = hc /λ ….(iii)
From (i) and (ii)
hc / λ = 3R
∴ λ = hc / 3R = 6.6 x 10-34 x 3 x 108 / 2.2 x 10-18 x 3 = 300Å
(ii) The radius of the first orbit
Bohr’s radius of hydrogen atom = 5 x 10-11 m (given)
|En| = + 0.22 x 10-17 Z2 = 4 R = 4 x 2.2 x 10-18
∴ Z = 2
∴ rn­ = r0 / Z = 5 x 10-11 / Z = 5 x 10-11 / 2 = 2.5 x 10-11 m

Jane

Last Activity: 8 Years ago

Ionization energy = 4R = 4*2.2*10^-184* 2.2 * 10^-18 = 13.6 * 1.6 * 10^-19 * z^2=> z = 2 R= Radius of hydrogen / 2R= 5*10^-11/2 = 2.5*10^-11

Jane

Last Activity: 8 Years ago

Ionization energy = 4R = 4*2.2*10^-184* 2.2 * 10^-18 = 13.6 * 1.6 * 10^-19 * z^2=> z = 2R= Radius of hydrogen / 2R= 5*10^-11/2 = 2.5*10^-11

ANUSH NAYAK

Last Activity: 7 Years ago

 
Ionization energy = 4R = 4*2.2*10^-184* 2.2 * 10^-18 = 13.6 * 1.6 * 10^-19 * z^2=> z = 2R= Radius of hydrogen / 2R= 5*10^-11/2 = 2.5*10^-11

Ashutosh Mittal

Last Activity: 3 Years ago

(i) We know that ionization energy of an hydrogen like atom
is given as
 
E1_, 00 =RchZ2 lu-~
=> E,---,oo = Reh Z2
Here it is given that £ 1..., 00 = 4 rydberg = 4 Reh joule thus, we
have ·
Z2 =4
Z=2
Thus the wavelength emitted when e- makes a transition from
11=2to11=lis
J_ =RZ2 [_!__ __ !] 1', 12 22
=> ";.,-,-r ~ 10967800 X 4 X l ~ , A, 4 * ""32903400
/
~,.,,,.,
· 1'.=304A
(ii) Radius of 11th orbit of a hydrogenic atom having atomic
number Z is given as
,,2
r,,=0.529 x 2 A
HereZ= 2 and 11 = l thus radius of first orbit is
l r=0.529 x 2 A
r=0.2645A

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on modern physics

question mark
A particle is projected in vertical plane such that after 5 seconds its velocity becomes horizontal. The maximum height attained by the projectile from point of projection is n3 m. The value of n is _______. (g = 10 m/s2)
modern physics
1 Answer Available

Last Activity: 2 Years ago

question mark
Two particles approach each other from very large distance as shown, . if the least separation between the particles is b, what is the speed of M in center of mass frame when particles are closest? (gravity negligible)
modern physics
0 Answer Available

Last Activity: 2 Years ago

question mark
Can the sum of two equal vectors be equal to either vector
modern physics
0 Answer Available

Last Activity: 2 Years ago

question mark
A nucleus X184 at rest emitt alpha particle With kinetic energy 9.0MeV. The product Nucleus is Y. The values of Binding energy per nucleon of alpha particle & Y differ by 1.5MeV. The values of Binding energy per nucleon of X & Y differ by (n÷230) MeV, then n is
modern physics
0 Answer Available

Last Activity: 2 Years ago

question mark
SUBJECT: PROBLEM BASED ON LINE DETECTION.Query: How to apply all the filters for line detection on the following piece of image (provided below)? Explain its Observations to comment on its results.
modern physics
0 Answer Available

Last Activity: 2 Years ago