SATHEE: Atoms And Nuclei Question 303

Atoms And Nuclei Question 303

Question: In a hypothetical system, a particle of mass m and charge -3q is moving around a very heavy particle charge q. Assume that Bohr’s model is applicable to this system, then velocity of mass m in the first orbit is

Options:

A) $\frac{3 q^{2}}{2 ε_{0} h}$

B) $\frac{3 q^{2}}{4 ε_{0} h}$

C) $\frac{3 q}{2 π ε_{0} h}$

D) $\frac{3 q}{4 π ε_{0} h}$

Show Answer

Answer:

Correct Answer: A

Solution:

$\frac{m v^{2}}{r} = \frac{3 q^{2}}{4 π ε_{0} r^{2}} \Rightarrow m v r = \frac{3 q^{2}}{4 π ε_{0} v}$ ..(i)

and $\frac{n h}{2 π} = m v r$ .(ii)

Using (i) and (ii) and putting n=1

$\frac{h}{2 π} = \frac{3 q^{2}}{4 π ε_{0} v} \Rightarrow v = \frac{3 q^{2}}{2 ε_{0} h}$

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Atoms And Nuclei Question 303

Question: In a hypothetical system, a particle of mass m and charge -3q is moving around a very heavy particle charge q. Assume that Bohr’s model is applicable to this system, then velocity of mass m in the first orbit is

Options:

Answer:

Solution:

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