Answer:
When the volume increases or when the temperature decreases
Explanation:
The ideal gas equation states that:
where
p is the gas pressure
V is the volume
n is the number of moles of gas
R is the gas constant
T is the gas temperature
Assuming that we have a fixed amount of gas, so n is constant, we can rewrite the equation as
which means the following:
- Pressure is inversely proportional to the volume: this means that the pressure decreases when the volume increases
- Pressure is directly proportional to the temperature: this means that the pressure decreases when the temperature decreases
Answer:
V = 6.55*10^{-6} v
Explanation:
The number density can be determined by using below formula:
where,
B is uniform magnetic field 0.74
i is current 18 A
V is hall potential difference
l is thickness 150 MICRO METER
e is electron charge 1.6 *10^{-19} C
therefore V can be determined as
V = 6.55*10^{-6} v
Answer:
The center of mass of the two-block system is staying the same and it can be explained with the help of linear momentum equation.
Explanation:
The center of mass of the two-block system is staying the same and it can be explained with the help of linear momentum equation.
Equation:
P=mv
This equation holds if no external force is acting on the system it means the momentum of the system is constant.
In our case, there is no external force which means the total momentum of system is constant:
P=constant
Total mass of system is also constant:
m=constant
It means the velocity of the system is constant (from above equation) thus center of mass of the two-block system is staying the same
<h2>
If two sets of data are correlated, this means that: one set causes the other to happen.
</h2>
Explanation:
Correlation indicates a relationship between two or more variables, but this relationship does not suggest cause and effect. When two sets of data are correlated, it means that as one variable changes, the other variable also changes.
The correlation can be measured by calculating a statistic called as correlation coefficient. The number from -1 to +1 indicates the strength and direction of the relationship between variables. The correlation coefficient is denoted by the letter r.
Answer:
(1) 1×10⁻⁴
Explanation:
From the question,
α = (ΔL/L)/(ΔT)............. Equation 1
Where α = linear expansivity of the metal plate, ΔL/L = Fractional change in Length, ΔT = Rise in temperature.
Given: ΔL/L = 1×10⁻⁴, ΔT = 10°C
Substitute these values into equation 1
α = 1×10⁻⁴/10
α = 1×10⁻⁵ °C⁻¹ .
β = (ΔA/A)/ΔT................... Equation 2
Where β = Coefficient of Area expansivity, ΔA/A = Fractional change in area.
make ΔA/A the subject of the equation
ΔA/A = β×ΔT.......................... Equation 3
But,
β = 2α.......................... Equation 4
Substitute equation 4 into equation 3
ΔA/A = 2α×ΔT................ Equation 5
Given: ΔT = 5°C, α = 1×10⁻⁵ °C⁻¹
Substitute into equation 5
ΔA/A = ( 2)×(1×10⁻⁵)×(5)
ΔA/A = 10×10⁻⁵
ΔA/A = 1×10⁻⁴
Hence the right option is (1) 1×10⁻⁴
