Question

The electron in a hydrogen atom with a radius equal to first Bohr radius has a velocity equal to *

Answer 1

Given,

The electron is situated in the first Bohr orbit of a hydrogen atom.

To find,

Velocity of the specified electron.

Solution,

From the mathematical elaboration of the Bohr's model,we came to know that the velocity of electron of hydrogen atom's nth orbit is expressed by the following mathematical:

Vn = (2.17 × 10^6 × Z/n) metre/second

[Here,Z is atomic number and n is orbit number.]

Now, according to the data mentioned in the question,the value of Z is 1 and the value of n is also 1.

So,by putting the values,we get that

Velocity = 2.17 × 10^6 × 1/1 = 2.17 × 10^6 m/s

Hence,the velocity of electron in the first Bohr's orbit is approximately 2.17×10^6 m/s.