**Text Transcription for Educational Website:**In one of the most recent silicon industry achievements of 2021, a single transistor takes up a rectangular area on a microchip that measures 10 [nm] by 20 [nm]. The early microchips in the 1970's had rectangular transistors that each measured approximately 20 [μm] by 40 [μm]. How many of the new 2021 transistors could fit inside the same area of a single 1970 transistor?A) 400 B) 4000 C) 40,000 D) 400,000 E) 4,000,000 **Explanation of Concepts:**- **Transistor Size Comparison:** The problem compares the area occupied by transistors from two different eras, 2021 and the 1970s, by using their respective dimensions. - **Measurement Units:** - 2021 transistor dimensions: 10 nanometers (nm) by 20 nanometers (nm). - 1970s transistor dimensions: 20 micrometers (μm) by 40 micrometers (μm).- **Unit Conversion:** To accurately compare the transistor areas, it's essential to convert all measurements to the same units. Note: 1 micrometer (μm) = 1,000 nanometers (nm).- **Area Calculation:** - **2021 transistor area:** \(10 \, \text{nm} \times 20 \, \text{nm} = 200 \, \text{nm}^2\) - **1970s transistor area:** After converting dimensions into nanometers, \( (20,000 \, \text{nm}) \times (40,000 \, \text{nm}) = 800,000,000 \, \text{nm}^2 \)- **Comparison:** - The number of 2021 transistors that fit into a 1970s transistor is calculated by dividing the 1970s transistor area by the 2021 transistor area: \[ \frac{800,000,000 \, \text{nm}^2}{200 \, \text{nm}^2} = 4,000,000 \]Thus, the answer is **E) 4,000,000**.

2) In one of the most recent silicon industry achievements of 2021, a single transistor takes up a rectangular area on a microchip that measures 10[nm] bv 20[nm]. The early microchips in the 1970's had rectangular transistors that each measured approximately 20[um] by 40[um]. How manv of the new 2021 transistors could fit inside the same area of a single 1970 transistor? A) 400 B) 4000 C) 40,000 D) 400,000 É 4,000,000

2) In one of the most recent silicon industry achievements of 2021, a single transistor takes up a rectangular area on a microchip that measures 10[nm] bv 20[nm]. The early microchips in the 1970's had rectangular transistors that each measured approximately 20[um] by 40[um]. How manv of the new 2021 transistors could fit inside the same area of a single 1970 transistor? A) 400 B) 4000 C) 40,000 D) 400,000 É 4,000,000

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter33: Alternating Current Circuits

Section: Chapter Questions

Problem 33.41P

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