SATHEE: Atoms And Nuclei Question 118

Atoms And Nuclei Question 118

Question: The ratio of speed of an electron in ground state in Bohrs first orbit of hydrogen atom to velocity of light in air is [MH CET 2002]

Options:

A) $\frac{e^{2}}{2 ε_{0} h c}$

B) $\frac{2 e^{2} ε_{0}}{h c}$

C) $\frac{e^{3}}{2 ε_{0} h c}$

D) $\frac{2 ε_{0} h c}{e^{2}}$

Show Answer

Answer:

Correct Answer: A

Solution:

Speed of electron in nth orbit (in CGS) $v_{n} = \frac{2 π Z e^{2}}{n h}$ (k = 1) For first orbit $H_{2}$ ; n = 1 and Z = 1 So $v = \frac{2 π e^{2}}{h}$
Þ $\frac{v}{c} = \frac{2 π e^{2}}{h c}$

Atoms And Nuclei Question 118

Question: The ratio of speed of an electron in ground state in Bohrs first orbit of hydrogen atom to velocity of light in air is [MH CET 2002]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Atoms And Nuclei Question 118

Question: The ratio of speed of an electron in ground state in Bohrs first orbit of hydrogen atom to velocity of light in air is [MH CET 2002]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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