SATHEE: Atoms And Nuclei Question 301

Atoms And Nuclei Question 301

Question: Suppose potential energy between electron and proton at separation r is given by U= K In (r), where K is a constant. For such a hypothetical hydrogen atom, the ratio of energy difference between energy levels (n=1 and n=2) and (n and n=4) is

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: A

Solution:

$- \frac{d U}{d r} = F$ (conservative force field)
$\Rightarrow F = \frac{- K}{r}$ provides the centrifugal force for circular motion of electron. $\frac{m v^{2}}{r} = \frac{K}{r} \Rightarrow r = \frac{n h}{2 π \sqrt{m K}}$ K.E. of electron $= \frac{1}{2} m v^{2} = \frac{1}{2} K$ P.E. of electron = K In r E(n)=Total energy=K.E.+P.E.

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Atoms And Nuclei Question 301

Question: Suppose potential energy between electron and proton at separation r is given by U= K In (r), where K is a constant. For such a hypothetical hydrogen atom, the ratio of energy difference between energy levels (n=1 and n=2) and (n and n=4) is

Options:

Answer:

Solution:

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