Answer:
0.099C
Explanation:
First, we need to get the common potential voltage using the formula
![V=\frac {C_2V_2-C_1V_1}{C_1+C_2}](https://tex.z-dn.net/?f=V%3D%5Cfrac%20%7BC_2V_2-C_1V_1%7D%7BC_1%2BC_2%7D)
Where V is the common voltage, C and V represent capacitance and charge respectively. Subscripts 1 and 2 to represent the the first and second respectively. Substituting the above with the following given values then
![C_1=22\times 10^{-6} F\\ C_2=115\times 10^{-6} F\\ V_1= 0.7\times 10^{3}\\V_2=5.5\times 10^{3}](https://tex.z-dn.net/?f=C_1%3D22%5Ctimes%2010%5E%7B-6%7D%20F%5C%5C%20C_2%3D115%5Ctimes%2010%5E%7B-6%7D%20F%5C%5C%20V_1%3D%200.7%5Ctimes%2010%5E%7B3%7D%5C%5CV_2%3D5.5%5Ctimes%2010%5E%7B3%7D)
Therefore
![V=\frac {115\times 10^{-6}\times 5.5\times 10^{3}-22\times 10^{6}\times 0.7\times 10^{3}}{22\times 10^{-6}+115\times 10^{-6}}=4504.3795620437](https://tex.z-dn.net/?f=V%3D%5Cfrac%20%7B115%5Ctimes%2010%5E%7B-6%7D%5Ctimes%205.5%5Ctimes%2010%5E%7B3%7D-22%5Ctimes%2010%5E%7B6%7D%5Ctimes%200.7%5Ctimes%2010%5E%7B3%7D%7D%7B22%5Ctimes%2010%5E%7B-6%7D%2B115%5Ctimes%2010%5E%7B-6%7D%7D%3D4504.3795620437)
Charge, Q is given by CV hence for the first capacitor charge will be ![Q_1=C_1V](https://tex.z-dn.net/?f=Q_1%3DC_1V)
Here, ![Q_1=22\times 10^{-6}\times 4504.3795620437=0.0990963503649C\approx 0.099C](https://tex.z-dn.net/?f=Q_1%3D22%5Ctimes%2010%5E%7B-6%7D%5Ctimes%204504.3795620437%3D0.0990963503649C%5Capprox%200.099C)
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Using the principle of floatation.
u = w............(a)
Upthrust of fluid is equal to the weight of the object.
Let the volume of the wood be V.
The upthrust u, is related to the volume submerged in water, and that is 1/5 of it volume, that is (1/5)V = 0.2V
Formula for upthrust, u = vdg
where v = volume of fluid displaced
d = density of fluid
g = acceleration due to gravity
weight, w = mg
where m = mass
g = acceleration due to gravity
From (a)
u = w
vdg = mg Cancel out g
vd = m
The v is equal to 0.2V, which is the submerged volume. Notice that the small letter v is volume of fluid displaced, and capital V is the volume of the solid.
d is density of fluid which is water in this case, 1000 kg/m³
0.2V * 1000 = m
200V = m
Hence the mass of the object is 200V kg.
But Density of solid = Mass of solid / Volume of solid
= 200V / V
= 200 kg/m³
Density of solid = 200 kg/m³
Answer:
the reflected wave is inverted and the transmitted wave is up
Explanation:
To answer this question we must analyze the physical phenomenon, with an wave reaching a discontinuity, we can analyze it as a shock.
Let's start when the discontinuity is with a fixed, very heavy and rigid obstacle, in this case the reflected wave is inverted, since the contact point cannot move
In the event that it collides with an object that can move, the reflected wave is not inverted, this is because the point can rise, they form a maximum at this point.
In the proposed case the shock is when the thickness changes, in this case we have the above phenomena, a part of the wave is reflected by being inverted and a part of the wave is transmitted without inverting.
The amplitude sum of the amplitudes of the two waves is proportional to the lanería that is distributed between them.
When checking the answers the correct one is the reflected wave is inverted and the transmitted wave is up