Answer:
Explanation:
According to Wein's displacement law
![\lambda_{max} T = b](https://tex.z-dn.net/?f=%5Clambda_%7Bmax%7D%20T%20%3D%20b)
Where b = 2.898 x 10⁻³ m K
Given ,
![\lambda{max} = 18\times10^{-9}](https://tex.z-dn.net/?f=%5Clambda%7Bmax%7D%20%3D%2018%5Ctimes10%5E%7B-9%7D)
T = 161 X 10³ K.
Answer:
Therefore the speed of q₂ is 1961.19 m/s when it is 0.200 m from from q₁.
Explanation:
Energy conservation law: In isolated system the amount of total energy remains constant.
The types of energy are
- Kinetic energy.
- Potential energy.
Kinetic energy ![=\frac{1}{2} mv^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%20mv%5E2)
Potential energy =![\frac{Kq_1q_2}{d}](https://tex.z-dn.net/?f=%5Cfrac%7BKq_1q_2%7D%7Bd%7D)
Here, q₁= +5.00×10⁻⁴C
q₂=-3.00×10⁻⁴C
d= distance = 4.00 m
V = velocity = 800 m/s
Total energy(E) =Kinetic energy+Potential energy
+ ![\frac{Kq_1q_2}{d}](https://tex.z-dn.net/?f=%5Cfrac%7BKq_1q_2%7D%7Bd%7D)
![=\frac{1}{2} \times 4.00\times 10^{-3}\times(800)^2 +\frac{9\times10^9\times 5\times10^{-4}\times(-3\times10^{-4})}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%204.00%5Ctimes%2010%5E%7B-3%7D%5Ctimes%28800%29%5E2%20%2B%5Cfrac%7B9%5Ctimes10%5E9%5Ctimes%205%5Ctimes10%5E%7B-4%7D%5Ctimes%28-3%5Ctimes10%5E%7B-4%7D%29%7D%7B4%7D)
=(1280-337.5)J
=942.5 J
Total energy of a system remains constant.
Therefore,
E
+ ![\frac{Kq_1q_2}{d}](https://tex.z-dn.net/?f=%5Cfrac%7BKq_1q_2%7D%7Bd%7D)
![\Rightarrow 942.5 = \frac{1}{2} \times 4 \times10^{-3} \times V^2 +\frac{9\times10^{9}\times5\times 10^{-4}\times(-3\times 10^{-4})}{0.2}](https://tex.z-dn.net/?f=%5CRightarrow%20%20942.5%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%204%20%5Ctimes10%5E%7B-3%7D%20%5Ctimes%20V%5E2%20%2B%5Cfrac%7B9%5Ctimes10%5E%7B9%7D%5Ctimes5%5Ctimes%2010%5E%7B-4%7D%5Ctimes%28-3%5Ctimes%2010%5E%7B-4%7D%29%7D%7B0.2%7D)
![\Rightarrow 942.5 = 2\times10^{-3}v^2 -6750](https://tex.z-dn.net/?f=%5CRightarrow%20942.5%20%3D%202%5Ctimes10%5E%7B-3%7Dv%5E2%20-6750)
![\Rightarrow 2 \times10^{-3}\times v^2= 942.5+6750](https://tex.z-dn.net/?f=%5CRightarrow%202%20%5Ctimes10%5E%7B-3%7D%5Ctimes%20v%5E2%3D%20942.5%2B6750)
![\Rightarrow v^2 = \frac{7692.5}{2\times 10^{-3}}](https://tex.z-dn.net/?f=%5CRightarrow%20v%5E2%20%3D%20%5Cfrac%7B7692.5%7D%7B2%5Ctimes%2010%5E%7B-3%7D%7D)
m/s
Therefore the speed of q₂ is 1961.19 m/s when it is 0.200 m from from q₁.
Answer:
He is gaining kinetic energy and losing potential energy
Explanation:
The best possible Answer is c
Well they could go down a hill to gain more kinetic energy.