Answer:
The change on the second particle is
.
Explanation:
The period of revolution of the particle in the magnetic field is given by the formula as follows :
![T=\dfrac{2\pi m}{Bq}](https://tex.z-dn.net/?f=T%3D%5Cdfrac%7B2%5Cpi%20m%7D%7BBq%7D)
It is given that the magnetic field is uniform. The mass of the second particle is the same as that of a proton but thecharge of this particle is different from that of a proton.
![m_s=m_p](https://tex.z-dn.net/?f=m_s%3Dm_p)
If both particles take the same amount of time to go once around their respective circles. So,
![T_e=T_s\\\\\dfrac{2\pi m_e}{Bq_e}=\dfrac{2\pi m_s}{Bq_s}\\\\\dfrac{m_e}{q_e}=\dfrac{m_p}{q_s}\\\\q_s=\dfrac{m_pq_e}{m_e}\\\\q_s=\dfrac{1.67\times 10^{-27}\times 1.6\times 10^{-19}}{9.11\times 10^{-31}}\\\\q_s=2.93\times 10^{-16}\ C](https://tex.z-dn.net/?f=T_e%3DT_s%5C%5C%5C%5C%5Cdfrac%7B2%5Cpi%20m_e%7D%7BBq_e%7D%3D%5Cdfrac%7B2%5Cpi%20m_s%7D%7BBq_s%7D%5C%5C%5C%5C%5Cdfrac%7Bm_e%7D%7Bq_e%7D%3D%5Cdfrac%7Bm_p%7D%7Bq_s%7D%5C%5C%5C%5Cq_s%3D%5Cdfrac%7Bm_pq_e%7D%7Bm_e%7D%5C%5C%5C%5Cq_s%3D%5Cdfrac%7B1.67%5Ctimes%2010%5E%7B-27%7D%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%7D%7B9.11%5Ctimes%2010%5E%7B-31%7D%7D%5C%5C%5C%5Cq_s%3D2.93%5Ctimes%2010%5E%7B-16%7D%5C%20C)
So, the change on the second particle is
.
Answer:
The maximum height is 2881.2 m.
Explanation:
Given that,
Acceleration = 29.4 m/s²
Time = 7.00 s
We need to calculate the distance
Using equation of motion
![s=ut+\dfrac{1}{2}at^2](https://tex.z-dn.net/?f=s%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
Put the value into the formula
![s=0+\dfrac{1}{2}\times29.4\times7^2](https://tex.z-dn.net/?f=s%3D0%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes29.4%5Ctimes7%5E2)
![s=720.3\ m](https://tex.z-dn.net/?f=s%3D720.3%5C%20m)
We need to calculate the velocity
Using formula of velocity
![v=a\times t](https://tex.z-dn.net/?f=v%3Da%5Ctimes%20t)
Put the value into the formula
![v=29.4\times7](https://tex.z-dn.net/?f=v%3D29.4%5Ctimes7)
![v=205.8\ m/s](https://tex.z-dn.net/?f=v%3D205.8%5C%20m%2Fs)
We need to calculate the height
Using formula of height
![H=\dfrac{v^2}{2g}](https://tex.z-dn.net/?f=H%3D%5Cdfrac%7Bv%5E2%7D%7B2g%7D)
Put the value into the formula
![H=\dfrac{(205.8)^2}{2\times9.8}](https://tex.z-dn.net/?f=H%3D%5Cdfrac%7B%28205.8%29%5E2%7D%7B2%5Ctimes9.8%7D)
![H=2160.9\ m](https://tex.z-dn.net/?f=H%3D2160.9%5C%20m)
We need to calculate the maximum height
Using formula for maximum height
![H'=H+s](https://tex.z-dn.net/?f=H%27%3DH%2Bs)
Put the value into the formula
![H'=2160.9+720.3](https://tex.z-dn.net/?f=H%27%3D2160.9%2B720.3)
![H'=2881.2\ m](https://tex.z-dn.net/?f=H%27%3D2881.2%5C%20m)
Hence, The maximum height is 2881.2 m.
Explanation:
Current output at the battery will be current of entire circuit, while the current through each bulb in the parallel circuit is the total current circuit.
So, current output through power supply is i and current through each component be
considering only three component.
Then in a parallel circuit
![i = i_1+i_2+i_3](https://tex.z-dn.net/?f=i%20%3D%20i_1%2Bi_2%2Bi_3)