Final answer:
The percentage increase in the area of a square sheet of copper that is heated through 10°C is approximately 4.04%, which rounds to about 4%. This answer is not given in the exact options, so the closest correct option is (4) None of these.
Step-by-step explanation:
The question you've asked is related to thermal expansion. When a square copper sheet with a length l is heated, each side of the square increases by 2% after being heated through 10°C, as given in the problem. To find the percentage increase in the area, we calculate the new length of each side as 1.02l, and then find the new area by squaring this length.
The original area is l² and the new area is (1.02l)². To find the percentage increase, we calculate the ratio of the change in area to the original area and multiply by 100%.
New area = (1.02l)² = 1.0404l²
Percentage increase in area = ((1.0404l² − l²)/l²) × 100% = 4.04%
As 4.04% is not one of the options, the correct answer is (4) None of these. However, the closest approximation to the actual answer among the given choices would be (1) 4% if we round down.