Final answer:
The information provided does not specifically address the optimal wattage for a manicuring table lamp but describes how the brightness of bulbs compares at equal voltage and how resistance and current affect the brightness of bulbs connected in series.
Step-by-step explanation:
The student's question about the adjustable lamp on a manicuring table refers to the optimal wattage for a bulb that should be used. However, within the context of the information provided, this specific answer is not directly addressed. Instead, we have information about the brightness, resistance, power draw, and energy usage of different light bulbs at the same voltage, such as the comparison between a 25-W bulb and a 60-W bulb, and also details about how these bulbs behave when connected in series to household power.
When considering the brightness of light bulbs, the 60-W bulb will be brighter than the 25-W bulb because it draws more current resulting from lower resistance at the same voltage, thus emitting more light intensity. If 60 W and 100 W bulbs are connected in series to household power, the bulb that will appear dimmer is the one with higher resistance.
Returning to the question of the wattage for a bulb in a manicuring table lamp, no clear answer is provided from the information at hand. It would be reasonable to surmise that the bulb should provide sufficient illumination without excessive heat, which might suggest a middle-range wattage based on conventional bulb options, but professional guidance or product specifications would be required for a definitive answer.