Danish physicist Neil\'s Bohr proposed the first \"decent\'\" model of the hydro
ID: 1614027 • Letter: D
Question
Danish physicist Neil's Bohr proposed the first "decent'" model of the hydrogen atom. He imagined hydrogen as planetary like, where the electron is a tiny particle moving in a circular orbit about a stationary proton. In the lowest-energy orbit (IS state), Bohr calculated the orbital radius (the distance from the proton to the electron) to be 5.29 times 10^-11 m, and a constant linear speed of the electron at 2.18 times 10^6 m/s. Calculate (a) the angular speed of the electron, (b) the number orbits the electron makes about the proton each second, and (c) the electron's centripetal acceleration.Explanation / Answer
given
radius of orbit, r = 5.29*10^-11 m
v = 2.18*10^6 m/s
a) use, v = r*w
==> w = v/r
= 2.18*10^6/(5.29*10^-11)
= 4.12*10^16 rad/s
b) no of rotations per second, f = w/(2*pi)
= 4.12*10^16/(2*pi)
= 6.56*10^15
c) electrons centriptela acceleration, a_rad = v^2/r
= (2.18*10^6)^2/(5.29*10^-11)
= 8.98*10^22 m/s^2
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