Option-1: R - This option suggests that the resistance of the second wire remains the same as the resistance of the first wire. However, this is not correct because resistance is inversely proportional to the cross-sectional area of the wire (A). As the diameter (d) of the second wire is doubled, the cross-sectional area (A) will be quadrupled, resulting in a change in resistance.

Option-2: R/4 - This option correctly states that the resistance of the second wire will be one-fourth (or divided by 4) of the resistance of the first wire. As mentioned earlier, resistance is inversely proportional to the cross-sectional area. If the diameter is doubled, the cross-sectional area becomes four times larger (doubled in both width and height), and as a result, the resistance becomes one-fourth.

Option-3: R/2 - This option suggests that the resistance of the second wire would be half of the resistance of the first wire. However, this is not correct, as the change in diameter has a squared effect on the cross-sectional area and thus leads to more significant changes in resistance.

Option-4: 2R - This option wrongly assumes that the resistance of the second wire will be twice as