Read the following statements carefully :Y : The resistivity of a semiconductor decreases with increases of temperature.Z : In a conducting solid, the rate of collision between free electrons and ions increases with increase of temperature.Select the correct statement from the followinga)Y is true but Z is falseb)Y is false but Z is truec)Both Y and Z are trued)Y is true and Z is the correct reason for YCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Bcz on resistivity decrease resistance decrease for semiconductor
for conductor frequency of collision increase so from
R=2ML/NE^2at
on time decrease resistance increase

Answer

In case of semiconductor Resistivity∝1/temperature
In this case as temperature increases electrons jump to conduction band resistance decreases R∝ρ(Resistivity) so resistivity also decreases and current increases.
Vibration of electrons increases with rise in temperature and hence collision between ions and electrons increases with temperature.

Answer

Statement Y: The resistivity of a semiconductor decreases with increases of temperature.
Resistivity is a property that measures the resistance of a material to the flow of electric current. In semiconductors, the resistivity is influenced by various factors, including temperature.

When the temperature of a semiconductor increases, the resistivity tends to decrease. This is because at higher temperatures, more electrons gain enough energy to break free from their covalent bonds and become free charge carriers. These free charge carriers contribute to the conduction of electric current.

As the number of free charge carriers increases with temperature, the resistivity decreases. This is because the presence of more charge carriers allows for a larger current to flow through the material, resulting in a lower resistance.

Statement Z: In a conducting solid, the rate of collision between free electrons and ions increases with increase of temperature.
In a conducting solid, such as a metal, free electrons move through the lattice structure and collide with the ions that make up the solid. These collisions are an important factor in determining the electrical conductivity of the material.

When the temperature of a conducting solid increases, the rate of collision between free electrons and ions also increases. This is because at higher temperatures, the ions vibrate more vigorously, making it more likely for the free electrons to collide with them.

The increased rate of collisions leads to a higher resistance because the free electrons experience more scattering and obstruction in their path. This hinders the flow of electric current and results in a higher resistance.

Conclusion:
From the given statements, we can conclude that both Statement Y and Statement Z are true.

Reasoning:
Statement Y is true because the resistivity of a semiconductor does decrease with an increase in temperature. This is due to the increased number of free charge carriers at higher temperatures, which allows for a larger current flow and lowers the resistance.

Statement Z is also true because in a conducting solid, the rate of collision between free electrons and ions does increase with an increase in temperature. The increased rate of collisions leads to a higher resistance in the material.

Therefore, the correct answer is option C: Both Y and Z are true.

Answer

In case of semiconductor Resistivity∝1/temperature
In this case as temperature increases electrons jump to conduction band resistance decreases R∝ρ(Resistivity) so resistivity also decreases and current increases.
Vibration of electrons increases with rise in temperature and hence collision between ions and electrons increases with temperature.

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