
The Bath Item Gift Hypothesis - S2-E11
Continuity mistake: When Leonard gives Penny her christmas gift, as she unwraps it she tears the paper off so that most of the box is exposed. In the next shot much more of the wrapping is back intact and differently positioned. (00:19:40)

The Lizard-Spock Expansion - S2-E8
Continuity mistake: When Leonard is talking to Penny in the laundry room; as he walks forward to ask her about whether him dating Stephanie is wrong, the box of washing powder on the machine behind him alternately has its lid closed or open. (00:14:00)

The Barbarian Sublimation - S2-E3
Continuity mistake: When Leslie and Sheldon are talking to Dr. Eric Gablehauser in his office, in one shot Eric throws a piece of paper onto the desk behind him (next to the computer.) Through the rest of the scene, this piece of paper keeps changing position. (00:09:00)

The Financial Permeability - S2-E14
Continuity mistake: When Sheldon asks Penny if he lent her enough money, the container he is holding opens on its own. (00:09:25)

The Vartabedian Conundrum - S2-E10
Continuity mistake: When Stefanie and Leonard are talking in bed towards the end, Stefanie's arm moves from on her head to on her pillow instantly. (00:16:30)

The Euclid Alternative - S2-E5
Continuity mistake: When driving down Euclid Avenue, the background is constantly changing between shots. In one shot it's a busy main street and in another it's a suburban street. (00:04:50)
The Euclid Alternative - S2-E5
Continuity mistake: When Penny turns on to Euclid Avenue, the car behind her just vanishes into thin air. (00:03:50)
Continuity mistake: Right at the start of the episode, Leonard kisses Penny. When he starts kissing her his head is tilted to the right (opposite side to the wall with the camera). When they move to the camera image, his head is tilted to the left (on the side with the camera), and when they move back his head is back tilting to the right again. (00:00:30)

The Lizard-Spock Expansion - S2-E8
Continuity mistake: When Raj says Star Trek 5 is worse than Star Trek 1, his hands are outspread. Camera cuts and now they are clasped together. (00:04:15)
Continuity mistake: When Sheldon and Penny are talking at the end on the stairs, Penny's hands keep changing from clenched to hanging down.
The Classified Materials Turbulence - S2-E22
Continuity mistake: In the comic book store, when Stuart and Leonard are talking about Penny saying "Leonard" when with Stuart, Stuart's pen/hand is constantly changing position instantly.
The Work Song Nanocluster - S2-E18
Continuity mistake: When Penny gets the package, the position of the box on the counter keeps changing position.
The Vartabedian Conundrum - S2-E10
Continuity mistake: When Sheldon is told that he can't talk, he goes from sitting to standing instantly.
The Lizard-Spock Expansion - S2-E8
Continuity mistake: When Sheldon goes to speak to Leonard, he is sitting on the couch. Camera cuts to Raj for one second, then to Penny and you can see Sheldon has crossed the apartment and is now in the hall. There is not enough time to move that far in that time. (00:09:05)

The White Asparagus Triangulation - S2-E9
Continuity mistake: When Sheldon is questioning Raj and Howard in the cafeteria, the bottle of water is on Raj's tray faces the camera with the barcoded side. But in one closeup it rotates to show the logo-branded side.
The Vegas Renormalization - S2-E21
Continuity mistake: In the bathroom of the hotel in Las Vegas, we can see Rajesh taking a small white bottle and keeping it in his hand while saying "I love Las Vegas". In the next shot, the bottle has returned to its place instantly.
The White Asparagus Triangulation - S2-E9
Continuity mistake: When climbing the stairs at the start, Penny and Sheldon turn the corner and carry on the conversation. Camera cuts and now they turn the corner again and continue their conversation without breaking it.

The Griffin Equivalency - S2-E4
Continuity mistake: When talking to his parents, Raj's grip on the laptop changes between shots. Note the side of the screen. (00:18:10)

The Barbarian Sublimation - S2-E3
Continuity mistake: When Penny is talking to Sheldon in his bedroom, her hands are constantly changing positions between shots. (00:08:45)

Continuity mistake: Leonard says that Sheldon has gone crazy and chucks his pen down on a red pad on the desk. When the shot changes, so does the position of the pen without being touched. (00:13:10)
Chosen answer: The song is called "Dark as a Dungeon" and was written and first performed by singer-songwriter Merle Travis in 1946. It has been performed by a wide array of artists, including Tennessee Ernie Ford, Harry Belafonte, Dolly Parton, Queens of the Stone Age, Kathy Mattea and Amy Grant. But it was made most famous when it was performed and recorded by Johnny Cash during his concert at Folsom Prison in 1968. According to Wikipedia: "It is a lament about the danger and drudgery of being a coal miner in an Appalachian shaft mine. It has become a rallying song among miners seeking improved working conditions."
Michael Albert