To differentiate between heat and temperature based on their SI units, we need to understand what each term represents and their respective units of measurement.

• Heat: Heat is a form of energy that is transferred between systems or objects with different temperatures. It flows from a higher temperature object to a lower temperature object. The SI unit for measuring heat is the \text{joule (J)}.
• Temperature: Temperature is a measure of the average kinetic energy of the particles in a substance. It indicates how hot or cold an object is. The SI unit for temperature is the \text{kelvin (K)}.

Now, let's evaluate the given options:

1. Both heat and temperature are measured in kelvin: This is incorrect because heat is measured in joules, not kelvin.
2. Heat is measured in joule while temperature is measured in kelvin: This is correct. Heat is measured in joules, and temperature is measured in kelvin.
3. Both heat and temperature are measured in joule: This is incorrect because temperature is measured in kelvin, not joules.
4. Heat is measured in kelvin while temperature is measured in joule: This is incorrect for the same reasons mentioned in options 1 and 3.

Thus, the correct answer is: Heat is measured in joule while temperature is measured in kelvin.

This clear distinction highlights the different nature of heat as an energy form and temperature as a measure of thermal state.