A metallic resistor is connected across a battery. If the number of collisions of the free electrons with the lattice is somehow decreased in the resistor (for example, by cooling it), the current will:
1. increase
2. decrease
3. remain constant
4. become zero

Two resistors A and B have resistances R_A and R_B respectively with R_A < R_B . The resistivities of their materials are ρ_A and ρ_B

1.   ρ_A > ρ_B 

2.   ρ_A = ρ_B 

3.   ρ_A < ρ_B 

4.   The information is not sufficient to find the relation between ρ_A and ρ_B

The product of resistivity and conductivity of a cylindrical conductor depends on

1.   temperature

2.   material

3.   area of cross-section

4.   none of these.

As the temperature of a metallic resistor is increased, the product of its resistivity and conductivity:

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. \(6250\) \(\Omega\)

Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?

Choose the correct option: 
1. (d) only 
2. (b), (c) 
3. (c), (d) 
4. (a), (d)