Answer:
5730 years
Explanation:
The half life of carbon-14 is 5730 years. If 50% of the carbon-14 remains, then exactly 1 half life has passed.
The half-life equation is:
A = A₀ (½)^(t / T)
where A is the remaining amount,
A₀ is the initial amount,
t is time,
and T is the half life.
In this case, A = ½ A₀ and T = 5730.
½ A₀ = A₀ (½)^(t / 5730)
½ = (½)^(t / 5730)
1 = t / 5730
t = 5730
Answer:
Explanation:
Given:
- charge on the alpha particle,
- mass of the alpha particle,
- strength of a uniform magnetic field,
- radius of the final orbit,
<u>During the motion of a charge the magnetic force and the centripetal forces are balanced:</u>
where:
v = velocity of the alpha particle
Here we observe that the velocity of the aprticle is close to the velocity of light. So the kinetic energy will be relativistic.
<u>We firstly find the relativistic mass as:</u>
now kinetic energy:
Then the magnitude of the net force is the difference between the two forces,
and its direction is the same as the direction of the greater one.