Answer:
(A) Total energy will be equal to ![0.044\times 10^{-5}J](https://tex.z-dn.net/?f=0.044%5Ctimes%2010%5E%7B-5%7DJ)
(b) Energy density will be equal to ![0.0175J/m^3](https://tex.z-dn.net/?f=0.0175J%2Fm%5E3)
Explanation:
We have given diameter of the plate d = 2 cm = 0.02 m
So area of the plate ![A=\pi r^2=3.14\times 0.02^2=0.001256m^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%3D3.14%5Ctimes%200.02%5E2%3D0.001256m%5E2)
Distance between the plates d = 0.50 mm = ![0.50\times 10^{-3}m](https://tex.z-dn.net/?f=0.50%5Ctimes%2010%5E%7B-3%7Dm)
Permitivity of free space ![\epsilon _0=8.85\times 10^{-12}F/m](https://tex.z-dn.net/?f=%5Cepsilon%20_0%3D8.85%5Ctimes%2010%5E%7B-12%7DF%2Fm)
Potential difference V =200 volt
Capacitance between the plate is equal to ![C=\frac{\epsilon _0A}{d}=\frac{8.85\times 10^{-12}\times 0.001256}{0.50\times 10^{-3}}=0.022\times 10^{-9}F](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B%5Cepsilon%20_0A%7D%7Bd%7D%3D%5Cfrac%7B8.85%5Ctimes%2010%5E%7B-12%7D%5Ctimes%200.001256%7D%7B0.50%5Ctimes%2010%5E%7B-3%7D%7D%3D0.022%5Ctimes%2010%5E%7B-9%7DF)
(a) Total energy stored in the capacitor is equal to
![E=\frac{1}{2}CV^2](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B2%7DCV%5E2)
![E=\frac{1}{2}\times 0.022\times 10^{-9}\times 200^2=0.044\times 10^{-5}J](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%200.022%5Ctimes%2010%5E%7B-9%7D%5Ctimes%20200%5E2%3D0.044%5Ctimes%2010%5E%7B-5%7DJ)
(b) Volume will be equal to
, here A is area and d is distance between plates
![V=0.001256\times 0.02=2.512\times 10^{-5}m^3](https://tex.z-dn.net/?f=V%3D0.001256%5Ctimes%200.02%3D2.512%5Ctimes%2010%5E%7B-5%7Dm%5E3)
So energy density ![=\frac{Energy}{volume}=\frac{0.044\times 10^{-5}}{2.512\times 10^{-5}}=0.0175J/m^3](https://tex.z-dn.net/?f=%3D%5Cfrac%7BEnergy%7D%7Bvolume%7D%3D%5Cfrac%7B0.044%5Ctimes%2010%5E%7B-5%7D%7D%7B2.512%5Ctimes%2010%5E%7B-5%7D%7D%3D0.0175J%2Fm%5E3)
Answer:
option (e) is correct.
Explanation:
mass of adult, M = 81 kg
Gravitational Potential energy of adult, U = 2000 J
Let the height raised is h.
U = mass of adult x g x h
2000 = 81 x 9.8 x h
h = 2.52 m
mass of adult, m = 18 kg
height raised, h = 2.52 m
Potential energy of child, U' = m x g x h
U' = 18 x 2.52 x 9.8 = 444.44 J
Thus, option (e) is correct.
Answer:
F = 20.07 μN
Explanation:
given,
intensity of sunlight = 667 W/m²
area of surface = 9.03 m²
speed of light = 3 x 10⁸ m/s
force = ?
we know
force =![intensity \times \dfrac{Area}{speed of light}](https://tex.z-dn.net/?f=intensity%20%5Ctimes%20%5Cdfrac%7BArea%7D%7Bspeed%20of%20light%7D)
force =![667 \times \dfrac{9.03}{3\times 10^8}](https://tex.z-dn.net/?f=667%20%5Ctimes%20%5Cdfrac%7B9.03%7D%7B3%5Ctimes%2010%5E8%7D)
F = 20.07 x 10⁻⁶ N
F = 20.07 μN
Explanation:
studying hard is the only thing that could make the educational system better
In the 1930s James Chadwick added the neutrons to the atomic model.