Comparing Bohr's Theory and Wave Mechanics

AI Thread Summary
Bohr's theory and wave mechanics both predict the same energy levels for hydrogen, but wave mechanics provides a more comprehensive framework for understanding atomic behavior, including phenomena like electron wave-particle duality. Key differences include Bohr's quantized orbits versus wave mechanics' probabilistic electron distributions. Space quantization is not observed in macroscopic objects like spinning tops due to their larger mass and classical behavior. The energy required to remove an electron from neon is higher than from sodium due to the effective nuclear charge and electron shielding effects. The de Broglie wavelength for an electron moving at the specified speed is calculated to be approximately 0.72 x 10^-30 m.
Lillyotv
Messages
12
Reaction score
0

Homework Statement



1. If Bohr’s theory and wave-mechanics predicts the same results for energies of hydrogen atom states, then why do we need wave mechanics with its greater complexity?
2. Compare Bohr’s theory and wave mechanics. In what respect do they differ?
3. Why don’t we observe space quantization for spinning top?
4. Why does it take more energy to remove an electron from neon (z = 10), than from sodium (z = 11)?
5. What is the de Broglie wavelength for an electron (me = 9.11  10-11 kg) moving with a speed of 1.00  107 m/s?



Homework Equations


None


The Attempt at a Solution


Could just do the last one...
5.
λ = h / mv

= 6.634 * 10-34 / (9.1* 10-11* 1* 107)

= 0.72 * 10 -30 m

Please help with the earlier ones!
 
Physics news on Phys.org
http://www.bcpl.net/~kdrews/bohr/bohr.html
 
Last edited by a moderator:
Thanks...
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

How Is Electric Potential Difference Calculated in a TV Tube?
Replies
34
Views
2K
Comparing Radio Waves: Short Wave vs. Phone/Radio
Replies
5
Views
2K
Compare the wavelengths of a photon and an electron
Replies
2
Views
4K
Bohr-Sommerfeld model question "Old" Quantum Theory
Replies
8
Views
3K
Atomic Structure problem regarding interatomic spacing
Replies
13
Views
2K
Does r=mv/Bq hold true considering Maxwell's E.M wave theory?
Replies
6
Views
2K
Quantum Theory of Earth Satellite Analogy to Bohr Model
Replies
5
Views
3K
Electric Potential and Wave Nature of Matter
Replies
2
Views
1K
Modern physics: Atomic Structure
Replies
3
Views
2K
Energy of Photons & Mechanical/Light Waves: Amplitude & Frequency
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top