college physics
posted by vishal .
In the Bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is approximately 0.542 multiplied by 1010 m. (The actual value is 0.529 multiplied by 1010 m.)
(a) Find the electric force exerted on each particle, based on the approximate (not actual) radius given.
N
(b) If this force causes the centripetal acceleration of the electron, what is the speed of the electron?
m/s

F=k•q₁•q₂/r²
k =9•10⁹ N•m²/C²
e =1.6•10⁻¹⁹ C.
F=k•e²/r²=
=9•10⁹•(1.6•10⁻¹⁹)²/(0.542•10⁻¹⁰)² =
=7.84•10⁻⁸ N
ma=mv²/R= F
v=sqrt(FR/m)=
=sqrt(7.84•10⁻⁸•0.542•10⁻¹⁰/9.1•10⁻³¹)=
=2.16•10⁶ m/s
Respond to this Question
Similar Questions

physics
The hydrogen atom consists of a proton with an electron in orbit about the proton. The laws of quantum mechanics determine that the radius of this orbit is 5.29x10^11 meters. Therefore, calculate a) The electric potential the electron … 
Physics
In one model of the hydrogen atom, the electron revolves in a circular orbit around the proton with a speed of 2.9x10^6 m/s. Determine the radius of the electron's orbit. 
physics
In the Bohr model of the hydrogen atom, the speed of the electron is approximately 1.97 × 106 m/s. Find the central force acting on the electron as it revolves in a circular orbit of radius 4.72 × 10−11 m. Answer in units of … 
PHYSICS
In the Bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is approximately 0.542 multiplied by 1010 m. (The actual value is 0.529 multiplied by 1010 m.) (a) Find … 
physics
In the Bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is approximately 0.542 multiplied by 1010 m. (The actual value is 0.529 multiplied by 1010 m.) (a) Find … 
PHYSICS
In the Bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is approximately 0.542 multiplied by 1010 m. (The actual value is 0.529 multiplied by 1010 m.) (a) Find … 
college physics
In the Bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is approximately 0.542 multiplied by 1010 m. (The actual value is 0.529 multiplied by 1010 m.) (a) Find … 
PHYSICS
In the Bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is approximately 0.542 multiplied by 1010 m. (The actual value is 0.529 multiplied by 1010 m.) (a) Find … 
Physics
In the Bohr model of the hydrogen atom, the speed of the electron is approximately 2.1 × 106 m/s. Find the central force acting on the electron as it revolves in a circular orbit of radius 4.51 × 10−11 m. Answer in units of … 
Physics
In the Bohr model of the hydrogen atom, the speed of the electron is approximately 2.45 × 106 m/s. Find the central force acting on the electron as it revolves in a circular orbit of radius 5.18 × 10−11 m. Answer in units of …