Answer:
Explanation:
Given the wave function
y(x,t) = 0.340 sin (15πt − 4πx + π/4)
Generally a wave function is of the form
y(x, t) = A•Sin(wt - kx + θ)
Where
A is amplitude
w is angular frequency
θ is the phase angle
k is the wave number.
Then, comparing this with given wave function
k = 4π, w = 15π and θ = π/4
Speed and direction?
The speed of a wave function can be determined using wave equation
v = fλ
w = 2πf
Then, f = w/2π = 15π/2π = 7.5Hz
Also k = 2π/λ
Then, λ = 2π/k = 2π/4π = 0.5 m
Then,
v = fλ = 7.5 × 0.5
v = 3.75m/s
Direction
Since the time and distance coefficient have opposite sign, for an increasing time interval, the translation will have to increase in the positive direction to nullify the change and maintain the phase. Hence, the wave is traveling in the positive x direction
Answer:
The product of the decay its Sulfur-32
Explanation:
Phosphorus-32 ( lets write it , where the number above its the atomic mass and the number below the atomic number) decays turning a neutron into a proton and emitting radiation on the form of a electron. This is the beta minus decay, and, actually, an electronic antineutrino its also produced. We can write this decay for an X isotope with a Y isotope produced as:
where its the electron, and the electronic antineutrino . We can see that the atomic number increases by one (cause a proton it produced and retained into the nucleus), and the atomic mass is approximately the same (there is a small difference between the neutron and proton mass, but its very small).
So, Phosphorus-32 (atomic number 15) will turn to an element with atomic number 16, and atomic mass 32, as:
.
.
The Y isotope must have an atomic number of 16 and an atomic mass of 32. The element with atomic number 16 its Sulfur (S), so, our decay its
.
and the product of such decay its Sulfur-32
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