In the Behr model of the hydrogen atom, the ground ste of hydrogen consists of a preton encircled by an electron with separation 3.29 x 10 m. However, since the same magnitude force that acts on the electron also acts on the proton, the proton will cho move in a circular orbit, but with a much maller speed and a much smaller radius. Note that the period of revolution of the two particles is the same. The diagram at right is not to scale, since the proton's orbital radi is insignificant compared to the electron's orbital rad Mathematical Analysis What is the magnitude of the electric force acting on the electron? b. Assuming the electron travels in a circular orbit around the (approximately stationary) proton, what is the speed of the electron? c. What is the period of the electron's orbit? 1.29-18" d. What is the radius and velocity of the proton's orbit?

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In the Behr model of the hydrogen atom, the ground state of
hydrogen consists of a proton encircled by an electron with
separation 3.29 x 10 m. However, since the same magnitude
force that acts on the electron also acts on the proton, the
proton will also move in a circular orbit, but with a much
smaller speed and a much smaller radius. Note that the period
of revolution of the two particles is the same. The diagram at
right is not to scale, since the proton's orbital radi is
insignificant compared to the electron's orbital radia
Mathematical Analysis
a. What is the magnitude of the electric force acting on the
electron?
b. Assuming the electron travels in a circular orbit around the (approximately stationary) proton, what is
the speed of the electron?
c. What is the period of the electron's orbit?
5.29 x 10⁰ m
d. What is the radius and velocity of the proton's orbit?
Transcribed Image Text:In the Behr model of the hydrogen atom, the ground state of hydrogen consists of a proton encircled by an electron with separation 3.29 x 10 m. However, since the same magnitude force that acts on the electron also acts on the proton, the proton will also move in a circular orbit, but with a much smaller speed and a much smaller radius. Note that the period of revolution of the two particles is the same. The diagram at right is not to scale, since the proton's orbital radi is insignificant compared to the electron's orbital radia Mathematical Analysis a. What is the magnitude of the electric force acting on the electron? b. Assuming the electron travels in a circular orbit around the (approximately stationary) proton, what is the speed of the electron? c. What is the period of the electron's orbit? 5.29 x 10⁰ m d. What is the radius and velocity of the proton's orbit?
+p
5.29x 10-m
Transcribed Image Text:+p 5.29x 10-m
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