SATHEE: Atoms And Nuclei Question 101

Atoms And Nuclei Question 101

Question: The ratio of the speed of the electron in the first Bohr orbit of hydrogen and the speed of light is equal to (where e, h and c have their usual meanings) [MP PMT 2000]

Options:

A) $2 π h c / e^{2}$

B) $e^{2} h / 2 π c$

C) $e^{2} c / 2 π h$

D) $2 π e^{2} / h c$

Show Answer

Answer:

Correct Answer: D

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 101

Question: The ratio of the speed of the electron in the first Bohr orbit of hydrogen and the speed of light is equal to (where e, h and c have their usual meanings) [MP PMT 2000]

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 101

Question: The ratio of the speed of the electron in the first Bohr orbit of hydrogen and the speed of light is equal to (where e, h and c have their usual meanings) [MP PMT 2000]

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

Menu