What is the conductivity when the Hall Effect coefficient is 5 and mob...
Mobility= (8/3π) x( conductivity x Hall coefficient).conductivity =(5x10^-4x 3π) /(5x8) =0.000117~0.0001~> option (C)
What is the conductivity when the Hall Effect coefficient is 5 and mob...
Hall Effect is a phenomenon in which a voltage difference is generated across a conductor when a magnetic field is applied perpendicular to the current flow. The Hall Effect coefficient is a measure of the voltage generated per unit magnetic field and current. The mobility of a charge carrier is a measure of its ability to move in response to an electric field.
Given the Hall Effect coefficient as 5 and the mobility as 5 cm^2/s, we can calculate the conductivity using the formula:
Conductivity = Hall Effect Coefficient * Mobility
Let's calculate the conductivity:
Conductivity = 5 * 5 cm^2/s
To convert cm^2/s to S/m (siemens per meter), we need to multiply by 10^(-4):
Conductivity = 5 * 5 * 10^(-4) S/m
Simplifying the expression:
Conductivity = 25 * 10^(-4) S/m
Converting the scientific notation to decimal notation:
Conductivity = 0.0025 S/m
Therefore, the correct answer is option C) 0.0001 S/m.
Explanation:
- Hall Effect is a phenomenon in which a voltage difference is generated across a conductor when a magnetic field is applied perpendicular to the current flow.
- The Hall Effect coefficient is a measure of the voltage generated per unit magnetic field and current.
- The mobility of a charge carrier is a measure of its ability to move in response to an electric field.
- The conductivity is calculated by multiplying the Hall Effect coefficient and mobility.
- In this case, the Hall Effect coefficient is 5 and the mobility is 5 cm^2/s.
- To convert cm^2/s to S/m, we multiply by 10^(-4).
- Therefore, the conductivity is 0.0025 S/m, which is equivalent to option C) 0.0001 S/m.