Overproduction is a driving force in natural selection, as it can lead to adaptation and variations in a species. Darwin argued that all species overproduce, since they have more offspring than can realistically reach reproductive age, based on the resources available.
Answer:
Displacement = 20 m
Explanation:
Given that,
Kyle runs 20 m north, 20 m west and then 20 m south.
We need to find Kyles's total displacement.
Total distance = shortest path covered by Kyles.
The net displacement of Kyle is 20 m in east direction. Hence, this is the required solution.
Answer:
0.0027 V
0.000625 V
EMF doubles
Explanation:
= Initial magnetic field = 0.2 T
= Final magnetic field = 1.4 T
t = Time taken = 1.6 s
A = Area
N = Number of turns
Induced emf is given by
Emf is 0.0027 V
= Initial area =
= Final area =
B = 0.5 T
Induced emf is given by
The new emf in the loop will be 0.000625 V (magnitude)
If the number of turns is doubled then the emf doubles as
Answer;
D. The component waves have different frequencies.
Explanation;
-Interference is a property of waves that results from combination of two or more wave trains moving on intersecting or coincident paths. This effect results to the addition of the amplitudes of the individual waves at each point affected by more than one wave.
-When two waves are of the same frequency and are in phase (which means; they vibrate at the same rate and are maximum at the same time), the wave amplitudes are reinforced, producing constructive interference.
-Conversely, when two waves are out of phase by half period (meaning that one is minimum when the other is maximum), the result is destructive interference, producing complete annulment if they are of equal amplitude.
Answer:
a) p=0, b) p=0, c) p= ∞
Explanation:
In quantum mechanics the moment operator is given by
p = - i h’ d φ / dx
h’= h / 2π
We apply this equation to the given wave functions
a) φ =
.d φ dx = i k
We replace
p = h’ k
i i = -1
The exponential is a sine and cosine function, so its measured value is zero, so the average moment is zero
p = 0
b) φ = cos kx
p = h’ k sen kx
The average sine function is zero,
p = 0
c) φ =
d φ / dx = -a 2x
.p = i a g ’2x
The average moment is
p = (p₂ + p₁) / 2
p = i a h ’(-∞ + ∞)
p = ∞