This question makes no sense to me. . .

A 100-watt lamp glows brighter than a 25-watt lamp. What do you know about the resistances of these two lamps?
????
That they have different watts...thats all I can think of. Physics is not my strong subject.

The power that a lamp produces is

P = V^2/R
Since both lamp blubs are made to operate at the same voltage V, the lamp with more power must have a lower value of R. In this case,the 100W bulb has 1/4 the resistance of the 25W bulb.

What does 60Hz, 120V electricity mean? Name a device that produces DC electricity. I didn't understand

No worries! Let me explain it to you. The brightness of a lamp is related to its power, which is measured in watts. So, when we say a 100-watt lamp glows brighter than a 25-watt lamp, it means that the 100-watt lamp emits more light energy per unit of time compared to the 25-watt lamp.

Now, regarding the resistances of these lamps, the information provided in the question is not enough to directly determine their resistances. The power of a lamp depends on both its resistance and the voltage it operates on. In the case of the lamps mentioned, we only have the wattage (power) values given, not the voltage or resistance.

However, we can make a general inference. In most cases, assuming a constant voltage supply, a higher wattage lamp usually has a lower resistance compared to a lower wattage lamp. This is because, according to Ohm's Law (V = IR), if the voltage is constant and the power (wattage) increases, the resistance must decrease.

In conclusion, based on the given information and general understanding, we can assume that the 100-watt lamp likely has a lower resistance than the 25-watt lamp. But keep in mind that this assumption may not always be true without additional information about the voltage or specific lamp characteristics.