This question contains statement$-1$ and statement$-2$. Of the four choices given after the statements, choose the one that best describes the two statements.

statement$-1$ : The temperature dependence of resistance is usually given as $R=R_{0}(1+\alpha \Delta t)$. The resistance of a wire changes from $100\; \Omega$ to $150\; \Omega$ when its temperature is increased from $27^{\circ} C$ to $227^{\circ} C$. This implies that $\alpha=2.5$ $\times 10^{-3} /{ }^{\circ} C$

statement$-2\;: R=R_{0}(1+\alpha \Delta t)$ is valid only when the change in the temperature $\Delta T$ is small and $\Delta R=\left(R-R_{0}\right) < < R_{0}$

Q: This question contains statement$-1$ and statement$-2$. Of the four choices given after the statements, choose the one that best describes the two statements. statement$-1$ : The temperature dependence of resistance is usually given as $R=R_{0}(1+\alpha \Delta t)$. The resistance of a wire changes from $100\; \Omega$ to $150\; \Omega$ when its temperature is increased from $27^{\circ} C$ to $227^{\circ} C$. This implies that $\alpha=2.5$ $\times 10^{-3} /{ }^{\circ} C$ statement$-2\;: R=R_{0}(1+\alpha \Delta t)$ is valid only when the change in the temperature $\Delta T$ is small and $\Delta R=\left(R-R_{0}\right) < < R_{0}$

a $R =150 ; R _{0}=100$ and $\Delta t =227^{\circ} C -27^{\circ} C =200^{\circ} C$ $R = R _{0}(1+\alpha \Delta t )$ $150=100(1+\alpha(200))$ $\therefore \alpha=2.5 \times 10^{-3} /{ }^{\circ} C$ for $\Delta R =150-100=50$ , $R - R _{0}<< R _{0}$ cannot say . Statement $-2$ is false

Question

This question contains statement$-1$ and statement$-2$. Of the four choices given after the statements, choose the one that best describes the two statements.

statement$-1$ : The temperature dependence of resistance is usually given as $R=R_{0}(1+\alpha \Delta t)$. The resistance of a wire changes from $100\; \Omega$ to $150\; \Omega$ when its temperature is increased from $27^{\circ} C$ to $227^{\circ} C$. This implies that $\alpha=2.5$ $\times 10^{-3} /{ }^{\circ} C$

statement$-2\;: R=R_{0}(1+\alpha \Delta t)$ is valid only when the change in the temperature $\Delta T$ is small and $\Delta R=\left(R-R_{0}\right) < < R_{0}$

AStatement $-1$ is true, statement $-2$ is false
BStatement $-1$ is true, statement $-2$ is true; statement $-2$ is the correct explanation of Statement $-1$
CStatement $-1$ is true, statement $-2$ is true; statement $-2$ is not the correct explanation of Statement $-1$
DStatement $-1$ is false, statement $-2$ is true

AIEEE 2009, Diffcult

Download our app
and get started for free

Similar Questions

Download our appand get started for free

Similar Questions

Download our app
and get started for free