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:
<h3><u>Answer;</u></h3>
<em>Producers </em>
<h3><u>Explanation;</u></h3>
- <u><em>Producers </em></u>occupy the lowest level in any food chain or food web. They are the organisms that all other organisms in the food chain rely on.
- <em><u>Producers </u></em>have the ability to make their own food through the process of photosynthesis where they use energy from sunlight, together with water and carbon dioxide to generate food.
- The ability of producers to make their own food and the fact that they occupy the lowest level in a food chain means <em><u>they have the highest biomass.</u></em>
Answer:
θ₂ = 40.5º
Explanation:
For this exercise we must use the law of refraction
n₁ sin θ₁ = n₂ sin θ₂
where index 1 is for the incident ray and index 2 is for the refracted ray
in this case the incident ray has an angle of θ₁ = 60º and the refractive index of the water is
n₂ = 1,333
sin θ₂ = 
let's calculate
sin θ₂ = 1 / 1.3333 sin 60
sin θ₂ = 0.64968
θ₂ = sin⁻¹ (0.64968)
θ₂ = 40.5º
Option (B) is correct.Energy contained in one gram of matter=9 x 10¹³ J
Explanation:
mass= 1 g= 0.001 kg
c= velocity of light= 3 x 10⁸ m/s
The mass energy equivalence equation is given by
E = m C²
E= (0.001)(3 x 10⁸)²
E=9 x 10¹³ J
Thus energy contained in one gram of matter=9 x 10¹³ J
We solve this using special
relativity. Special relativity actually places the relativistic mass to be the
rest mass factored by a constant "gamma". The gamma is equal to 1/sqrt
(1 - (v/c)^2). <span>
We want a ratio of 3000000 to 1, or 3 million to 1.
</span>
<span>Therefore:
3E6 = 1/sqrt (1 - (v/c)^2)
1 - (v/c)^2 = (0.000000333)^2
0.99999999999999 = (v/c)^2
0.99999999999999 = v/c
<span>v= 99.999999999999% of the speed of light ~ speed of light
<span>v = 3 x 10^8 m/s</span></span></span>
