Answer:
Energy stored in the capacitor will be ![1.835\times 10^{-6}J](https://tex.z-dn.net/?f=1.835%5Ctimes%2010%5E%7B-6%7DJ)
Explanation:
We have given edge length of capacitor = ![1.2\times 10^2cm=1.2m](https://tex.z-dn.net/?f=1.2%5Ctimes%2010%5E2cm%3D1.2m)
So area A = 1.2×1.2 = 1.44 ![m^2](https://tex.z-dn.net/?f=m%5E2)
Separation is given as d 1 mm = ![10^{-3}m](https://tex.z-dn.net/?f=10%5E%7B-3%7Dm)
We know that capacitance is given by ![C=\frac{\epsilon _0A}{d}=\frac{8.85\times 10^{-12}\times 1.44}{10^{-3}}=12.744\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%201.44%7D%7B10%5E%7B-3%7D%7D%3D12.744%5Ctimes%2010%5E%7B-9%7DF)
Voltage is given as V = 12 volt
We know that energy stored is given by ![E=\frac{1}{2}CV^2=\frac{1}{2}\times 12.744\times 10^{-9}\times 12^2=1.835\times 10^{-6}J](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B2%7DCV%5E2%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2012.744%5Ctimes%2010%5E%7B-9%7D%5Ctimes%2012%5E2%3D1.835%5Ctimes%2010%5E%7B-6%7DJ)
Answer:
B.) by interfering with sound waves
Explanation:
As we know that the interference of sound waves is of two types
1). constructive interference
2). destructive interference
now we know that constructive interference means the resultant intensity will be more than the intensity of interfering waves as here two waves are in same phase.
In destructive interference the resultant of two waves is given by the minimum resultant of the intensity as here the phase of two waves are opposite to each other.
So we will say that
![I = \sqrt{(I_1 + I_2 + 2\sqrt{I_1I_2}cos\theta)}](https://tex.z-dn.net/?f=I%20%3D%20%5Csqrt%7B%28I_1%20%2B%20I_2%20%2B%202%5Csqrt%7BI_1I_2%7Dcos%5Ctheta%29%7D)
here in case of noise cancelling headphones we know that the phase of noise is always made in opposite phase with the sound which is used to cancelled the noise.
This will reduce the noise and we will get a clear sound
Important thing when making a lava lamp are the two liquids with different density so that it would not mix and that it would expand when heated. The movement of the orange liquid is called convection. if you will not heat the orange one, it till just stay on the stop and not go under tha water.
Answer:
The speed of the sled is 3.56 m/s
Explanation:
Given that,
Mass = 2.12 kg
Initial speed = 5.49 m/s
Coefficient of kinetic friction = 0.229
Distance = 3.89 m
We need to calculate the acceleration of sled
Using formula of acceleration
![a = \dfrac{F}{m}](https://tex.z-dn.net/?f=a%20%3D%20%5Cdfrac%7BF%7D%7Bm%7D)
Where, F = frictional force
m = mass
Put the value into the formula
![a=\dfrac{\mu mg}{m}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B%5Cmu%20mg%7D%7Bm%7D)
![a=\mu g](https://tex.z-dn.net/?f=a%3D%5Cmu%20g)
![a=0.229\times9.8](https://tex.z-dn.net/?f=a%3D0.229%5Ctimes9.8)
![a=2.244\ m/s^2](https://tex.z-dn.net/?f=a%3D2.244%5C%20m%2Fs%5E2)
We need to calculate the speed of the sled
Using equation of motion
![v^2=u^2-2as](https://tex.z-dn.net/?f=v%5E2%3Du%5E2-2as)
Where, v = final velocity
u = initial velocity
a = acceleration
s = distance
Put the value in the equation
![v ^2=(5.49)^2-2\times2.244\times3.89](https://tex.z-dn.net/?f=v%20%5E2%3D%285.49%29%5E2-2%5Ctimes2.244%5Ctimes3.89)
![v=\sqrt{(5.49)^2-2\times2.244\times3.89}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%285.49%29%5E2-2%5Ctimes2.244%5Ctimes3.89%7D)
![v=3.56\ m/s](https://tex.z-dn.net/?f=v%3D3.56%5C%20m%2Fs)
Hence, The speed of the sled is 3.56 m/s.
Coals energy is affordable and it is easy to burn.