Answer:
16 cm
Explanation:
For protons:
Energy, E = 300 keV
radius of orbit, r1 = 16 cm
the relation for the energy and velocity is given by
![E = \frac{1}{2}mv^{2}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E%7B2%7D)
So,
.... (1)
Now,
![r = \frac{mv}{Bq}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bmv%7D%7BBq%7D)
Substitute the value of v from equation (1), we get
![r = \frac{\sqrt{2mE}}{Bq}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%5Csqrt%7B2mE%7D%7D%7BBq%7D)
Let the radius of the alpha particle is r2.
For proton
So,
... (2)
Where, m1 is the mass of proton, q1 is the charge of proton
For alpha particle
So,
... (3)
Where, m2 is the mass of alpha particle, q2 is the charge of alpha particle
Divide equation (2) by equation (3), we get
![\frac{r_{1}}{r_{2}}=\frac{q_{2}}{q_{1}}\times \sqrt{\frac{m_{1}}{m_{2}}}](https://tex.z-dn.net/?f=%5Cfrac%7Br_%7B1%7D%7D%7Br_%7B2%7D%7D%3D%5Cfrac%7Bq_%7B2%7D%7D%7Bq_%7B1%7D%7D%5Ctimes%20%5Csqrt%7B%5Cfrac%7Bm_%7B1%7D%7D%7Bm_%7B2%7D%7D%7D)
q1 = q
q2 = 2q
m1 = m
m2 = 4m
By substituting the values
![\frac{r_{1}}{r_{2}}=\frac{2q}}{q}}\times \sqrt{\frac{m}}{4m}}=1](https://tex.z-dn.net/?f=%5Cfrac%7Br_%7B1%7D%7D%7Br_%7B2%7D%7D%3D%5Cfrac%7B2q%7D%7D%7Bq%7D%7D%5Ctimes%20%5Csqrt%7B%5Cfrac%7Bm%7D%7D%7B4m%7D%7D%3D1)
So, r2 = r1 = 16 cm
Thus, the radius of the alpha particle is 16 cm.
Explanation:
The atmosphere is heated in several ways - heat from the core of the Earth, by radiation from the Sun, conduction from contact with warm land and water, convection to even out the temperature and by absorption of infrared radiation from the warm land and water. The core of the Earth is very hot.
Birthdays or age? maybe how old it looks
For this we want to use Boyle's Law. Boyle’s law states that the pressure and volume of a fixed quantity of a gas are inversely proportional under constant temperature conditions. The formula for this is P1V1 = P2V2. We want to solve this out so it equals V2 (Volume 2). So P1V1 / P2 = V2. Then plug in your values for the variables. So (101)(4.2) / 235 = V2; so 424.2 / 235 = V2. The final volume equals 1.81. I hope this helps, If not I am very sorry.
B. Kinetic energy plus its potential energy.