The correct answer is will become sixteen times (option D). Resistance of a wire is inversely proportional to the cross-sectional area of the wire, which is directly proportional to the square of its radius. Halving the radius of a wire decreases its cross-sectional area by a factor of four (since area is proportional to the square of the radius). As resistance is inversely proportional to the area, the resistance will increase by a factor of four squared, which is sixteen. Therefore, if the radius of a wire is halved, its resistance will increase sixteen times. This relationship is important in understanding how the physical dimensions of a conductor affect its electrical properties, such as resistance, in electrical and electronic applications.