The correct answer is: D. This work will have been finished by tomorrow.
The sentence “You will have finished this work by tomorrow” is in the future perfect tense. The future perfect tense is used to talk about actions that will be completed by a specific time in the future. In this case, the action is “finishing the work.” The sentence is saying that the work will be completed by tomorrow.
The other options are incorrect because they do not use the future perfect tense. Option A, “This work will have been finished tomorrow,” is the same as the correct answer. Option B, “This work will be finished by tomorrow,” is in the simple future tense. This tense is used to talk about actions that will happen in the future. In this case, the sentence is saying that the work will be finished in the future. However, it does not specify when the work will be finished. Option C, “This work will finished tomorrow,” is in the simple present tense. This tense is used to talk about actions that happen regularly or repeatedly. In this case, the sentence is saying that the work is finished every day. However, it does not specify when the work will be finished tomorrow. Option D, “This work will have been finished by tomorrow,” is the same as the correct answer.