The de Broglie wavelength of an electron in the 4th Bohr orbit is :

To find the de Broglie wavelength of an electron in the 4th Bohr orbit, we can use the formula:

λ = h / p

where λ is the de Broglie wavelength, h is the Planck's constant, and p is the momentum of the electron.

The momentum of an electron in the Bohr orbit can be calculated using the formula:

p = m * v

where m is the mass of the electron and v is its velocity.

The mass of an electron is approximately 9.10938356 × 10^-31 kilograms.

To find the velocity of the electron, we can use the formula for the velocity of an electron in the Bohr orbit:

v = (Z * e^2) / (4πε₀ * n * h)

where Z is the atomic number of the element, e is the elementary charge, ε₀ is the permittivity of free space, and n is the principal quantum number.

For the 4th Bohr orbit, n = 4.

Plugging in the values, we can calculate the velocity of the electron.

Once we have the velocity, we can calculate the momentum using the mass of the electron.

Finally, we can substitute the values of h and p into the de Broglie wavelength formula to find the de Broglie wavelength of the electron in the 4th Bohr orbit.

To find the de Broglie wavelength of an electron in the 4th Bohr orbit, we can use the formula:

λ = h / p

where λ is the de Broglie wavelength, h is the Planck's constant, and p is the momentum of the electron.

The momentum of an electron in the Bohr orbit can be calculated using the formula:

p = m * v

where m is the mass of the electron and v is its velocity.

The mass of an electron is approximately 9.10938356 × 10^-31 kilograms.

To find the velocity of the electron, we can use the formula for the velocity of an electron in the Bohr orbit:

v = (Z * e^2) / (4πε₀ * n * h)

where Z is the atomic number of the element, e is the elementary charge, ε₀ is the permittivity of free space, and n is the principal quantum number.

For the 4th Bohr orbit, n = 4.

Plugging in the values, we can calculate the velocity of the electron.

Once we have the velocity, we can calculate the momentum using the mass of the electron.

Finally, we can substitute the values of h and p into the de Broglie wavelength formula to find the de Broglie wavelength of the electron in the 4th Bohr orbit.