I am confused about this problem. This problem confuses me because i dont recall learning anything about this stuff.
You and your friend are trying to heat up your identical fully insulated dinners using desk lamps. You put your food 25 cm from the lamp and your friend puts their food 35 cm away from their lamp. If your food takes 5 minutes to heat up, how long does it take your friend's food to heat up?
Given that the desk lamps can be considered point sources (a fairly decent approximation in this case) the intensity of the emitted light radiation will decrease with the inverse square of the distance. this means that is you double the distance from the light the intensity will decrease to 1/4th of the initial intensity. This means that intensity I is inversely proportional to the square of the distance. Therefore:
Using your numbers:
Since the intensity at 35 cm is only 0.51=51% of the intensity at 25 cm the time to heat up the TV dinner at 35 cm will take longer. Therefore: