Two solid conductors are made up of the same material and have the same length and the same resistance. One of them has a circular cross-section of area \( 𝐴 _1\) and the other one has a square cross-section of area \(A_2.\) The ratio of \(𝐴 _1 / 𝐴 _2 \) is:
1. | \(1.5\) | 2. | \(1\) |
3. | \(0.8\) | 4. | \(2\) |
The dependence of resistivity \((\rho)\) on the temperature \((T)\) of a semiconductor is, roughly, represented by:
1. | 2. | ||
3. | 4. |
A uniform wire of resistance \(50~\Omega\) \(\) is cut into \(5\) equal parts. These parts are now connected in parallel. The equivalent resistance of the combination is:
1. | \(2~\Omega\) \(\) | 2. | \(10~\Omega\) \(\) |
3. | \(250~\Omega\) \(\) | 4. | \(6250~\Omega\) |
1. | \(\dfrac {2.0 ~\times~10^{-3}}{\pi} ~\Omega\) | 2. | \(5.0 ~\times~10^{-13}\pi~\Omega\) |
3. | \(\dfrac {1.0}{2\pi}~\Omega\) | 4. | \(\dfrac{2.0}{\pi}~\Omega\) |
Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?
(a) | drift speed |
(b) | resistivity |
(c) | resistance |
(d) | the number of free electrons |
Choose the correct option:
1. | (d) only | 2. | (b), (c) |
3. | (c), (d) | 4. | (a), (d) |