Answer:
The energy E is 1603.008 J.
Explanation:
Given that,
Capacitor = 18.4 μF
Voltage = 13.2 kV
We need to calculate the energy
Using formula of energy
.....(I)
We know that,
![Q=CV](https://tex.z-dn.net/?f=Q%3DCV)
Put the value of Q in equation (I)
![E=\int{CV}dV](https://tex.z-dn.net/?f=E%3D%5Cint%7BCV%7DdV)
On integration
![E=\dfrac{CV^2}{2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7BCV%5E2%7D%7B2%7D)
Put the value into the formula
![E=\dfrac{18.4\times10^{-6}\times(13.2\times10^{3})^2}{2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7B18.4%5Ctimes10%5E%7B-6%7D%5Ctimes%2813.2%5Ctimes10%5E%7B3%7D%29%5E2%7D%7B2%7D)
Hence, The energy E is 1603.008 J.
Answer:
![v_{CM}=0.0732\ m/s](https://tex.z-dn.net/?f=v_%7BCM%7D%3D0.0732%5C%20m%2Fs)
Explanation:
given,
mass of the cart 1, m₁ = 310 g
speed of car 1 , v₁ = 1.25 m/s
mass of cart 2, m₂ = 260 g
speed of cart 2, v₂ = -1.33 m/s
speed of center of mass
![v_{CM}=\dfrac{m_1v_1 + m_2 v_2}{m_1 + m_2}](https://tex.z-dn.net/?f=v_%7BCM%7D%3D%5Cdfrac%7Bm_1v_1%20%2B%20m_2%20v_2%7D%7Bm_1%20%2B%20m_2%7D)
![v_{CM}=\dfrac{0.31\times 1.25 +0.26\times (-1.33)}{0.31+0.26}](https://tex.z-dn.net/?f=v_%7BCM%7D%3D%5Cdfrac%7B0.31%5Ctimes%201.25%20%2B0.26%5Ctimes%20%28-1.33%29%7D%7B0.31%2B0.26%7D)
![v_{CM}=\dfrac{0.0417}{0.57}](https://tex.z-dn.net/?f=v_%7BCM%7D%3D%5Cdfrac%7B0.0417%7D%7B0.57%7D)
![v_{CM}=0.0732\ m/s](https://tex.z-dn.net/?f=v_%7BCM%7D%3D0.0732%5C%20m%2Fs)
Hence, speed of center of mass of the system is equal to 0.0732 m/s
Answer:Developed the Bohr model of the atom, in which he proposed that energy levels of electrons are discrete- Niels Bohr
Discovery of energy quanta made him the originator of quantum theory -Max Plank
Formulated the wave equation; stationary and time-dependent Schrödinger equation- Erwin Schrödinger
Best known to the general public for his "mass–energy equivalence formula" ; E = mc^2-B Albert Einstein
Postulated the wave nature of electrons and suggested that all matter has wave properties- Louis de Broglie
Explanation:
All the names mentioned above contributed towards the development of the wave mechanical model of the atom. Their names were matched with their contributions as required by the question.