Temperature Dependence of Resistance

The conductivity of a material varies with temperature for (i) semiconductors and (ii) good conductors as

The current flowing through a conductor connected across a source is $2 \mathrm{A}$ and $1.2 \mathrm{A}$ at $0^{\mathrm{o}}\mathrm{C}$ and ${100}^{\mathrm{o}}\mathrm{C}$ respectively. The current flowing through the conductor at ${50}^{\mathrm{o}}\mathrm{C}$ will be _____ $\times {10}^2 \mathrm{mA}$.

Given below are two statements:

Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination.

Statement II : The resistivity of the material is independent of temperature. In the light of the above statements, choose the correct answer from the options given below:

Constantan wire is used in making standard resistance because its

A brass disc and a carbon disc of same radius are assembled alternatively to make a cylindrical conductor. The resistance of the cylinder is independent of the temperature. The ratio of thickness of the brass disc to that of the carbon disc is

[$\alpha$ is temperature coefficient of resistance & Neglect linear expansion]

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: Alloys such as constantan and manganin are used in making standard resistance coils.

Reason R: Constantan and manganin have very small value of temperature coefficient of resistance.

In the light of the above statements, choose the correct answer from the options given below.

The resistance at ${300}^{\circ }\mathrm{C}$ is $100 \mathrm{\Omega }$. Find the temp at which resistance will become $150 \mathrm{\Omega }$, if $\propto =0.04$.

Resistance of the wire is measured as $2 \mathrm{\Omega }$ and $3 \mathrm{\Omega }$ at $10°\mathrm{C}$ and $30°\mathrm{C}$ respectively. Temperature coefficient of resistance of the material of the wire is

The resistance of a thin silver wire is $1.0 \mathrm{\Omega }$ at $20°\mathrm{C}$. The wire is placed in a liquid bath and its resistance rises to $1.2 \mathrm{\Omega }$. What is the temperature of the bath?
(Take, $\alpha$ for silver $=3.8\times {10}^{-3}$ per ${}^{\circ }\mathrm{C}$)

The temperature coefficient of resistance of a wire is $0.00125 /°\mathrm{C}$ . At $300 \mathrm{K}$, its resistance is $1 \mathrm{\Omega }$. The resistance of wire will be $2 \mathrm{\Omega }$ at

Consider the statements A and B in the previous question. Peltier effect is caused

A conducting resistance is connected to a battery. The temperature of the conductor decreases due to cooling. The current flowing through the resistance will -

Nichrome or Manganin are widely used in a rheostat because of their,

$$\begin{gathered} \mathrm{Which} \mathrm{of} \mathrm{the} \mathrm{following} \mathrm{resistivity} \left(\mathrm{p}\right) \mathrm{v}/\mathrm{s} \mathrm{temperature} \left(\mathrm{T}\right) \mathrm{curves} \mathrm{is} \mathrm{most} \mathrm{suitable} \mathrm{to} \mathrm{be} \mathrm{used} \\ \mathrm{in} \mathrm{wire} \mathrm{bound} \mathrm{standard} \mathrm{resistors}? \end{gathered}$$

Resistance of a wire at 0 °C, 100 °C and t °C is
found to be 10 $\mathrm{\Omega }$, 10.2 $\mathrm{\Omega }$ and 10.95 $\mathrm{\Omega }$ respectively.
The temperature t in Kelvin scale is______.

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8 $\Omega$ and 10 $\Omega$ respectively. After inserting in a hot bath of temperature 400°C, the resistance of platinum wire is :

For a wire, the original resistance was $50 \Omega$ at the initial temperature of $27° C$. When the temperature is increased, its resistance becomes $62 \Omega$. If the thermal coefficient of resistivity of the wire is $2.4\times {10}^{-2} {\mathrm{K}}^{-1}$, find the final temperature.

An electric toaster has resistance of $60 \Omega$ at room temperature $\left(27 °\mathrm{C}\right)$. The toaster is connected to a $220 \mathrm{V}$ supply. If the current flowing through it reaches $2.75 \mathrm{A}$, the temperature attained by toaster is around: (if $\alpha =2\times {10}^{-4} {}^{\circ }\mathrm{C}^{-1}$ )

Two conductors have the same resistances at $0 °\mathrm{C}$ but their temperature coefficients of resistance are ${\alpha }_1$ and ${\alpha }_2$. The respective temperature coefficients for their series and parallel combinations are :

The temperature co-efficient of resistance of a wire is $0.00125/°\mathrm{C}.$ Its resistance is $\mathrm{1 }\mathrm{\Omega }$ at $\mathrm{300 }\mathrm{}\mathrm{K}.$ At what temperature, its resistance will be $\mathrm{2 }\mathrm{\Omega }$?