Answer:
B - Earth's path around the Sun
Explanation:
Diagram B .... light shines through at an angle
Answer:
The moment of inertia decreased by a factor of 4
Explanation:
Given;
initial angular velocity of the ice skater, ω₁ = 2.5 rev/s
final angular velocity of the ice skater, ω₂ = 10.0 rev/s
During this process we assume that angular momentum is conserved;
I₁ω₁ = I₂ω₂
Where;
I₁ is the initial moment of inertia
I₂ is the final moment of inertia
![I_2 = \frac{I_1 \omega_1}{\omega_2} = \frac{I_1*2.5}{10} \\\\I_2 = 0.25I_1 = \frac{1}{4}I_1](https://tex.z-dn.net/?f=I_2%20%3D%20%5Cfrac%7BI_1%20%5Comega_1%7D%7B%5Comega_2%7D%20%3D%20%5Cfrac%7BI_1%2A2.5%7D%7B10%7D%20%5C%5C%5C%5CI_2%20%3D%200.25I_1%20%3D%20%5Cfrac%7B1%7D%7B4%7DI_1)
Therefore, the moment of inertia decreased by a factor of 4
Answer:
b. 3 times
Explanation:
Lets take
Coefficient for ordinary glass = α₁
Coefficient for pyrex glass = α₂
Given that α₁ = 3 α₂
Initial length of both glasses are equal = L
Change in the temperature is also same .= ΔT
We know that change in the length given as
ΔL = L α ΔT
Therefore
![\dfrac{\Delta L_1}{\Delta L_2}=\dfrac{L\alpha_1\Delta T}{L\alpha_2\Delta T}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5CDelta%20L_1%7D%7B%5CDelta%20L_2%7D%3D%5Cdfrac%7BL%5Calpha_1%5CDelta%20T%7D%7BL%5Calpha_2%5CDelta%20T%7D)
![\dfrac{\Delta L_1}{\Delta L_2}=\dfrac{3\alpha_2}{\alpha_2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5CDelta%20L_1%7D%7B%5CDelta%20L_2%7D%3D%5Cdfrac%7B3%5Calpha_2%7D%7B%5Calpha_2%7D)
ΔL₁ = 3ΔL₂
Therefore change in the length of original glass is three time of pyrex glass.
b. 3 times
The volume of a gas will increase by ten times if the temperature is increased by ten times.
<h3>Relationship between the volume of a gas and temperature</h3>
The relationship between the volume of a gas and its temperature is explained in Charles' law of gases which states that:
- The volume of a fixed mass of gas is directly proportional to its temperature provided the pressure of the gas is kept constant.
This means that if the temperature of a gas is increased by any given factor, the volume increases by the same factor proportionally.
Therefore, if the volume of a gas will increase by ten times if the temperature is increased by ten times.
Learn more about gas volume and temperature at: brainly.com/question/18706379