Find the number of bits that can be stored on a 10cm disk

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SUMMARY

The discussion focuses on calculating the number of bits that can be stored on a 10cm diameter optical disk using an infrared laser with a wavelength of approximately 780nm. Each bit is represented by pits of 500nm width and lands of 1.6 micrometers. The key calculation involves determining how many 500nm pits can fit within the circumference of the disk, which is essential for understanding storage capacity. The solution emphasizes the importance of clearly showing the rationale behind each step in the calculation process.

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Homework Statement



A computer disk is made by focusing light to a spot whose diameter is comparable to the optical wavelength. Find the number of bits that can be stored on a 10cm diameter optical disk using an infrared laser.

Homework Equations



Lamda λ = diametre of laser

The Attempt at a Solution



I started by investigating the way this works. A disk would be pressed and it will display pits and lands. Each pit width is 500nm and the land witdth would be 1.6micrometers. As the laser reads each land and pit it will interpret each land and pit as a bit 0 and each transition between land and pit as a 1 bit. Since the laser will cover the same length as its wavelength I tried to find how many pits and lands I could fit under that length (this is about 780nm for an infrared light.

Im thinking I am going about it the wrong way. any ideas?
 
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Hard to say if you're over-thinking it by analyzing the way it works. [Caveat: I don't know how these questions work] but it seems to me there's lots of room for intrerpretation, and thus a range of correct answers. As long as you show your rationale at each step and follow it through to the answer, it seems you'd get a valid, defensible answer.

At its simplest, it's just a matter of how many 500nm spots you can fit on a disk of that width.
 

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