Give the velocity of the electron in the first Bohr orbit (n=1).Give your answer in meters per second
Question
Give the velocity of the electron in the first Bohr orbit (n=1).Give your answer in meters per second
Solution
The velocity of an electron in the first Bohr orbit can be calculated using the formula:
v = e^2/(2ε₀hn)
where:
- e is the elementary charge (1.602 x 10^-19 C)
- ε₀ is the permittivity of free space (8.854 x 10^-12 C^2/N m^2)
- h is Planck's constant (6.626 x 10^-34 J s)
- n is the principal quantum number (for the first Bohr orbit, n=1)
Substituting these values into the formula gives:
v = (1.602 x 10^-19 C)^2 / (2 * 8.854 x 10^-12 C^2/N m^2 * 6.626 x 10^-34 J s * 1)
This simplifies to:
v = 2.18 x 10^6 m/s
So, the velocity of the electron in the first Bohr orbit is approximately 2.18 x 10^6 meters per second.
Similar Questions
Choose the correct relations on the basis of Bohr’s theory.Velocity of electron ∝ Frequency of revolution ∝ Radius of orbit ∝ n2 ZElectrostatic force on electron ∝
Using the Bohr’s model calculate the speed of the electron in ahydrogen atom in the n = 1, 2, and 3 levels. (b) Calculate the orbitalperiod in each of these levels
When electron jumps from nth orbit to 1st orbit in an imaginary atom obeying Bohr’s model, itemits two radiations of wavelengths 400 nm and 300 nm. The frequency of radiation emitted out inthe transition n = n to n = 1 will be
If body is an electron moving around nucleus in orbit with radius 10-10 m. Calculate the minimum possiblenon zero value of velocity of an electron (NB! Electron is a point particle)
How many times does the electron go round the firstBohr orbit of hydrogen atoms in 1 s?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.