The correct answer to the question is C.) Lily,Astrid, Henry, and Bob.
EXPLANATION:
As per the question, we have two physical quantities . One is work and the other one is energy.
Energy and work are inter convertible in nature . The energy of a substance is defined as its ability to do work . Hence, work will be done on the body or by the body in the expense of energy.
From above, we see that both energy and work have to be measured in same units.
The unit of work is joule [ J ] . Hence, the unit of energy must be joule.
As per the question, Lily and Astrid are measuring the change in energy in different systems which is to be measured in joule unit.
Again Henry and Bob are measuring work done by different systems. The work done is also measured in joule unit.
Hence, all the persons will record their measurements in joules.