In this question, we are asked to determine in which case the maximum amount of heat will be generated when a current flows through a 10 ohm resistor. The amount of heat generated in a resistor can be calculated using the formula: heat = I^2 * R * t, where I is the current, R is the resistance, and t is the time.

Let`s calculate the heat generated for each option:

- Option 1: 5A in 2 minutes. Heat = (5^2) * 10 * 2 = 500 units.

- Option 2: 4A in 3 minutes. Heat = (4^2) * 10 * 3 = 480 units.

- Option 3: 3A in 6 minutes. Heat = (3^2) * 10 * 6 = 540 units.

- Option 4: 2A in 12 minutes. Heat = (2^2) * 10 * 12 = 480 units.

From the calculations, we can see that the maximum amount of heat is generated in Option 3, where 540 units of heat are produced. Therefore, the correct answer is Option 3.

This indicates that the heat generated is directly proportional