Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Answer:
5.3×10⁻¹¹ m
Step-by-step explanation:
Applying,
v = 2πr/t................ Equation 1
Where v = speed of the electron in the orbit, r = radius of the orbit, t = time, π = pie
make r the subject of the equation
r = vt/2π................ Equation 2
From the question,
Given: v = 2.2×10⁶ m/s, t = 1.5×10⁻¹⁶ s
Constant: π = 3.14
Susbtitute these values into equation 2
r = (2.2×10⁶×1.5×10⁻¹⁶)/(3.14×2)
r = (3.3×10⁻¹⁰)/6.28
r = 5.3×10⁻¹¹ m
Hence the radius of the orbit is 5.3×10⁻¹¹ m
Answer:
The radius of the orbit is: [tex]R=0.525 \AA[/tex]
Step-by-step explanation:
The period of a circular motion is the time to complete one orbit, then:
[tex]T=1.5*10^{-16}s[/tex]
Now, let's recall the tangential speed can be written as:
[tex]v=\frac{2\pi R}{T}[/tex]
R is the radius of the motion.
Let's solve the above equation for R.
[tex]R=\frac{vT}{2 \pi}[/tex]
[tex]R=\frac{2.2*10^{6}1.5*10^{-16}}{2 \pi}[/tex]
[tex]R=\frac{2.2*10^{6}1.5*10^{-16}}{2 \pi}[/tex]
[tex]R=5.25*10^{-11} \: m[/tex]
Therefore, the radius of the orbit is: [tex]R=0.525 \AA[/tex]
I hope it helps you!
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.