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Answer :
The electrical current through the 100-W lamp is 4 times greater than that through the 25-W lamp. Option C is correct.
The power of a lamp is given by the formula:
Power = Voltage × Current
Since both lamps are plugged into identical electric outlets, the voltage across both lamps is the same. Let's denote the voltage as V.
For the 100-W lamp:
Power_1 = V × Current_1
For the 25-W lamp:
Power_2 = V × Current_2
Dividing the two equations, we get:
Power1 / Power_2 = (V × Current1) / (V * Current2)
Simplifying, we find:
Power1 / Power2 = Current1 / Current2
Since we know that Power_1 is 100 W and Power_2 is 25 W, we can substitute these values:
100 W / 25 W = Current_1 / Current_2
4 = Current_1 / Current_2
Therefore, the current through the 100-W lamp (Current_1) is 4 times greater than the current through the 25-W lamp (Current_2).
Hence Option C is correct.
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