TS EAMCET · Physics · Current Electricity
A piece of copper and a piece of germanium are cooled from room temperature to \(80 \mathrm{~K}\). Then, which one of the following is correct?
- A Resistance of each will increase
- B Resistance of each will decrease
- C Resistance of copper will decrease while that of germanium will increase
- D Resistance of copper will increase while that of germanium will decrease
Answer & Solution
Correct Answer
(C) Resistance of copper will decrease while that of germanium will increase
Step-by-step Solution
Detailed explanation
Copper is a conductor and germanium is semiconductor. When both are cooled from room temperature to \(80 \mathrm{~K}\). Then, resistance of copper will decrease while that of germanium will increase.
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Momentum before collision,
\(
p_1=4 m v_1-2 m v_2
\)
Momentum after collision,
\(
p_2=6 m\left(-5 v_2\right)=-30 m v_2
\)
Conservation of momentum gives,
\(
\begin{gathered}
p_1=p_2 \\
\Rightarrow \quad 4 m v_1-2 m v_2=-30 m v_2 \quad \Rightarrow 4 v_1=-32 v_2 \\
\Rightarrow \quad \frac{v_1}{v_2}=\frac{-32}{4}=-8 \text { or }\left|\frac{v_1}{v_2}\right|=8
\end{gathered}
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