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1) To use atomic energy for peaceful purposes is the task of our scientists. (использовать; to use - использовать)

2) Having entered the institute he began his scientific work in the students' scientific society. (поступив, после того как он поступил; to enter - поступать)

3)
1. Вещества, которые оказывают сопротивление току, называются изоляторами. 1. Substances to resist the flow of current are called insulators.
2. Переводить древнюю рукопись оказалось очень трудной задачей. 2. To translate the ancient manuscript was a very difficult task.

4)
1. Obtaining this information is hardly possible. -  b. получение
2. Their task was to obtain information.  -  c. получить
3. The mass media enlarged on the event obtaining new information every day. - d. получая
4. The information being obtained by us was very urgent. - a. получаемая

5) To work with mercury is dangerous. (work - simple active)

6) Having finished the experiment they left the laboratory.

7) Physics is a science dealing with phenomena connected with the transformation of matter and energy.

8) The proton {having} a positive charge is one of the important particles.
The method { proposed} by this young researcher was not acceptable.

9) Having done the work the engineer wrote down some new conclusions. Выполнив работу, инженер записал несколько новых выводов.

10) This method of examining a machine tool is connected with a new technology. Этот метод проверки работы станка связан с новой технологией

1) Have you read the letter from Aunt Emily yet? — Yes, I have. She wants to visit us. She will come next Wednesday. 2) Why are you looking at that woman so attentively? Do you know her? — It seems to me I have already met her somewhere. 3) Is Jane in the office? Yes, she has been typing some documents since 9 o’clock. 4) The police inspector  has been investigating this robbery for a week now. He has talked to all the witnesses already but he hasn't found the robbers yet. 5) I don't know how long Henry has been working on that project, but he hasn't finished it yet. 6) The secretary usually comes to the office at 9 o’clock, but it is half past nine now and she hasn't arrived yet. 7) Is Den in his room now? What has he been doing there since morning? — He has been preparing for the research expedition. He has booked a plane ticket already and now he is packing his things. 8) Are you OK, Nigel? You look very pale.— l am just tired. Ihave been working on mj^ report all night. 9) Who has been training in the gym for half a day now? — Ben and Alex. They have been preparing for an international championship for eight months now. They train every day. 10) How long has Nelly been painting this picture? — She has been painting it for a month now. She wants to exhibit it in our gallery next month.