Question

A light bulb puts out a power P by doing work W in a time T. How much power does the same bulb make by doing three times as much work in half as much time?

a) 2/3 P
b) 1.5 P
c) P
d) 6 P

Answer 1

The power made by the same bulb when doing three times as much work in half as much time is 6 times the original power output, making the correct answer (d) 6 P.

Step-by-step explanation:

The question pertains to the relationship between power, work, and time. The power (P) outputted by a light bulb is the rate at which work (W) is done over a given time (T). If the light bulb does three times as much work in half the time, we calculate the new power output using the formula P = W / T. For three times the work in half the time, the work W becomes 3W and the time T becomes T/2.

Substituting these values into the power formula gives us the new power output (P'):

P' = (3W) / (T/2) = 6W / T = 6P

Therefore, the power made by the light bulb under these new conditions is 6 times the original power output.