Answer:
2dQ²/2εA = 2U₀
Explanation:
The energy stored in the ideal parallel plate capacitor U = Q²/2C. For a parallel plate capacitor, C = εA/d where A is the area between the plates and D is the distance between them. So
U = Q²/2C = Q²/2εA/d = dQ²/2εA. At distance d₁ = d, U = U₀,
U₀ = dQ²/2εA,
When d₂ = 2d, U₁ = d₂Q²/2εA = 2dQ²/2εA = 2U₀
Answer:
v = at + u
Explanation:
acceleration, a = constant
As we know that acceleration is the rate of change of velocity
integrate on both sides
v = at + u
Where, u is the integrating constant and here it is equal to the initial velocity
Now we know that the rate of change of displacement is called velocity
Integrate on both sides
where, xo is the integrating constant which is initial position of the particle.
Milliliters would be used to find the volume AKA amount of liquid
Your answer for this question is the third option.
Answer: 0.333 h
Explanation:
This problem can be solved using the <u>Radioactive Half Life Formula</u>:
(1)
Where:
is the final amount of the material
is the initial amount of the material
is the time elapsed
is the half life of the material (the quantity we are asked to find)
Knowing this, let's substitute the values and find from (1):
(2)
(3)
Applying natural logarithm in both sides:
(4)
(5)
Clearing :
(6)
Finally:
This is the half-life of the Bismuth-218 isotope