The Trouble with Templeton - S2-E9
Continuity mistake: When Booth grabs her, Laura's long string of beads breaks. When she starts dancing a moment later, though, they've somehow repaired themselves. (00:18:50)
King Nine Will Not Return - S2-E1
Continuity mistake: Embry soaks the front of his shirt with water from the canteen. But when he runs toward the B-52's cockpit and turns around a moment later, his shirt is completely dry again. (00:10:10)
Nervous Man in a Four Dollar Room - S2-E3
Continuity mistake: The unconscious Jackie changes positions on the bed between the overhead shot and the next one, taken from ground level. (00:13:45)
A Hundred Yards over the Rim - S2-E23
Continuity mistake: When Joe (the diner owner) hands Christian Horn the glass of water, Horn grabs it by the base of the glass and drinks from it holding it the same way, almost to the last drop. The camera quickly switches the angle to show Horn finishing it close up, but this time he's holding it with his fingers wrapped around the glass. The camera switches the angle again as he's handing it back to Joe, once again holding it by the base.
Will the Real Martian Please Stand Up - S2-E28
Continuity mistake: During the scene in the diner between Ross the Martian and Haley the Venusian, there are objects such as a napkin dispenser visible on the counter over the left arm of Haley, which then disappear in the shots over Ross' right arm.
Continuity mistake: Hunnicut puts a cigar on the bar rail when going to talk to a couple, but during the opening narration in the same spot, it's missing.
The Odyssey of Flight 33 - S2-E18
Continuity mistake: When the plane first descends, the headphones that the radio controller is wearing keep moving from his neck to head.
Continuity mistake: When the bottle falls on the shop floor, it changes positions between the time it settles and the moment it begins to smoke. (00:05:50)
Continuity mistake: The flying saucer the old woman hacks to pieces with an axe is noticeably not the same one that lands in her attic in the beginning. A cruder version was built for the axing scene because the model used was a studio keepsake - the original spaceship from the classic sf film "Forbidden Planet." (00:23:00)
Continuity mistake: When the man rolls the dice onto the bed, one falls off, yet in the next shot we see both of them land on the bed.
Continuity mistake: The laser burns on the back of the old woman's left hand disappear when the knife is slicing at her through the door. They return a few shots later, though. (00:10:30 - 00:17:30)
Nick of Time - S2-E7
Continuity mistake: After dodging the vehicles in the street, Don notices the time as 3 o'clock, when the machine predicted something would happen. When they go back into the diner, his watch has the time as 10:10.
The Trouble with Templeton - S2-E9
Continuity mistake: At Freddie's speakeasy, when Laura lifts Barney's script from the table, she begins to fan herself. In the wide shot, the script's titled top page with corner diagonal stripes is gripped under Laura's four fingers, with the blank back page at her thumb. It cuts to a close-up, and now the script is gripped in Laura's hand the opposite way, with the top page at her thumb (the back page is blank).
The Odyssey of Flight 33 - S2-E18
Continuity mistake: When the jet is preparing to land in 1939 New York City, the view of the crew from the back of the cabin forward shows the airliner captain wearing his headphones, but the next instant close up of him shows him not wearing the headphones.
Nick of Time - S2-E7
Continuity mistake: Don Carter is holding a glass of water at the lunch counter. When the shot cuts to him and Pat, his hands are clasped together, empty.
Nick of Time - S2-E7
Continuity mistake: As Don and Pat leave the diner and another couple enters, there are two glasses of tea that have changed position on the table with the Mystic Seer, and two chairs have suddenly materialized at the booth they were using when the other couple arrive to use the Mystic Seer machine.
The Odyssey of Flight 33 - S2-E18
Continuity mistake: The radio operator's hand is gripping a bar behind the airliner captain, then in the next shot it's not.
The Odyssey of Flight 33 - S2-E18
Continuity mistake: There are three scenes of the jet flying above a thin layer of clouds. The same piece of footage is used each time.
Mr. Dingle, the Strong - S2-E19
Continuity mistake: When Mr. Dingle gets ashes from Don Rickles' cigar on his suit, the ashes disappear moments later.
Nervous Man in a Four Dollar Room - S2-E3
Continuity mistake: Just before George leaves the room after talking to Jackie, his position suddenly changes from in front of Jackie to behind him.
Answer: It's explained in the episode. The aliens are experimenting to see how humans react to various scenarios. This just happens to involve them using super strength.
Thanks. It's been a long time since I saw the episode so I forgot.