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
Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter12: The Solid State
Section: Chapter Questions
Problem 12P
Related questions
Question
![**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**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5d3f26-cda5-43e5-8223-bfa02258241c%2Fcce708a3-fce8-404d-a517-d661ebd5e1d0%2F7a2zb3e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**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**.
Expert Solution
Step 1
To solve the given question, we will find the area of each transistor in each case and then we will compare.
Step by step
Solved in 2 steps
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