The Bohr model of the hydrogen atom pictures the electron as a tinyparticle movi
ID: 1722869 • Letter: T
Question
The Bohr model of the hydrogen atom pictures the electron as a tinyparticle moving in a circular orbit about a stationary proton. Inthe lowest-energy orbit the distance from the proton to theelectron is 5.29 x 10^-11m, and the linear speed of the electron is2.18 x 10^6 m/s.a)What is the angular speed of the electron (rad/s)?
b)How many orbits about the proton does it make each second(rev/s)?
c) What is the electron's centripetal acceleration (m/s^2)?
I really don't understand how to do this. I know that the eq. forspeed is delta theta / delta time but since those are not givenvariables i'm not sure what to do for any of the parts.
Explanation / Answer
a) The angular pseed of the electron is = v/r = ( 2.18 x 10^6 m/s)/(5.29 x 10^-11m) =---- rad/s b) The number of orbits about the protondoes it make each second is N = ( 2.18 x 10^6 m/s)/(5.29 x 10^-11m) (1rev/2) =----- rev/s c) the electron's centripetal acceleration is a = v2/r = (2.18 x 10^6 m/s)2/(5.29 x 10^-11m) =----- m/s2Related Questions
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