A number of energy transformations occur when water that is stored behind a dam is changed into electrical energy. For each step
2 answers:
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Answer:
Explanation:
Given the following :
Speed (V) = speed of 2.30×10^7 m/s
Acceleration (a) = 1.70×10^13 m/s^2
Using the right hand rule provided by Lorentz law:
B = F / qvSinΘ
Where B = magnitude of the magnetic field
v = speed of the particle
Θ = 90° (perpendicular to the field)
q = charge of the particle
SinΘ = sin90° = 1
Note F = ma
Therefore,
B = ma / qvSinΘ
Mass of proton = 1.67 × 10^-27
Charge = 1.6 × 10^-19 C
B = [(1.67 × 10^-27) × (1.70 × 10^13)] / (1.6 × 10^-19) × (2.30 × 10^7) × 1
B = 2.839 × 10^-14 / 3.68 × 10^-12
B = 0.7715 × 10^-2
B = 7.72 × 10^-3 T
2) Magnetic field will be in the negative y direction according to the right hand thumb rule.
Since Velocity is in the positive z- direction, acceleration in the positive x - direction, then magnetic field must be in the negative y-direction.
Answer :
The least possible uncertainty in an electron's velocity is,
The percentage of the average speed is, 33 %
Explanation :
According to the Heisenberg's uncertainty principle,
...........(1)
where,
= uncertainty in position
= uncertainty in momentum
h = Planck's constant
And as we know that the momentum is the product of mass and velocity of an object.
or,
.......(2)
Equating 1 and 2, we get:
Given:
m = mass of electron =
h = Planck's constant =
radius of atom =
= diameter of atom =
Now put all the given values in the above formula, we get:
The minimum uncertainty in an electron's velocity is,
Now we have to calculate the percentage of the average speed.
Percentage of average speed =
Uncertainty in speed =
Average speed =
Percentage of average speed =
Percentage of average speed = 33.2 % ≈ 33 %
Thus, the percentage of the average speed is, 33 %