No. 3:
The answer is C.
In paragraph 3, Boucheron measured the Shortt clock’s rate against the observatory’s atomic clocks for a month. That means he needed a more precise, reliable reference clock to compare the Shortt clock to.
So the study would not have been possible without:
C) a non-Shortt clock that was known to keep time extremely precisely and reliably
Why the others are wrong:
A — The study detected the clock’s response to tidal distortion, but the passage does not say he needed ocean tide tables.
B — The study was about one Shortt clock in 1984, not a comparison of Shortt clocks from 1921–1932.
D — He replaced the linkage with modern optical sensing equipment, but the passage does not mention a new electric-power source.
E — The optical equipment was used inside the clock system, not to communicate with other research facilities.
The key phrase is: “he measured the Shortt clock’s rate against the observatory’s atomic clocks” → he needed a highly reliable comparison clock → C.