Step-by-step explanation:
It is given that the atom is hydrogen. And, its electron rotates in n = 5 orbit with angular speed
.
Radius of circular path =
m
Hence, first calculate the tangential speed as follows.
Tangential speed = radius × angular speed
=
As formula to calculate time period is as follows.
T =
sec
Also, frequency
=
So, for n = 5 and z = 1 the value of frequency is as follows.
frequency
=
=
=
Hz
As formula to calculate centripetal acceleration is as follows.
where, v = linear speed
r = radius
v =
=
=
Hence, the centripetal acceleration will be as follows.
=
=
Thus, we can conclude that the electron's centripetal acceleration is
.