Thực hiện giao thoa trên chất lỏng với hai nguồn S1 và S2 giống nhau cách nhau 13 cm. Phương trình dao động tại A và B là uA=uB=2cos40πt (cm). Tốc độ truyền sóng trên mặt chất lỏng là v = 0,8 m/s. Biên độ sóng không đổi. Số điểm dao động với biên độ cực đại trên đoạn S1S2 là
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
$f = \frac{\omega}{2\pi} = \frac{40\pi}{2\pi} = 20 Hz$
$\lambda = \frac{v}{f} = \frac{0.8}{20} = 0.04 m = 4 cm$
Số điểm dao động với biên độ cực đại trên đoạn S1S2 là số giá trị k nguyên thỏa mãn:
$- \frac{S_1S_2}{\lambda} \le k \le \frac{S_1S_2}{\lambda}$
$- \frac{13}{4} \le k \le \frac{13}{4}$
$-3.25 \le k \le 3.25$
Vậy có các giá trị k là: -3, -2, -1, 0, 1, 2, 3. Tổng cộng có 7 giá trị k. Tuy nhiên, vì hai nguồn dao động cùng pha nên số điểm dao động cực đại trên S1S2 là 2*3 + 1 = 7
Số điểm dao động với biên độ cực đại trên đoạn S1S2 là 10.
Câu hỏi liên quan
Cho các tập hợp:
A = {x ∈ ℤ | –1 ≤ x ≤ 2}; B = {x ∈ ℤ | –4 ≤ x ≤ 4}.
Xác định CBA. Câu nào sau đây đúng?
Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions.
Based on the original The Voice of Holland, The Voice of America, or sooner The Voice, officially aired on NBC on April 26, 2011, aiming to find new singing talent and soon became a big hit.
The Voice process includes Blinds Audition, Battles Rounds, Knockout Rounds, and the final live performance phase. Only those fifteen and over are eligible for the competition. There are four coaches, themselves well-known performing artists, who critique contestants' performances and form their own teams of contestants and give them guidance through the rest of the season. Coaches also have the power to decide on which contestants to advance in the next rounds. One celebrity key advisor gives assistance to the coaches and their teams during the preparation process.
The coaches and the television audience have equal power to decide who moves on to the final four phase. However, the winner is determined by votes from the television audience by online voting on the official website, SMS text and iTunes stores purchases of the contestants' performances. The declared winner receives US$100,000 and a record contract with Universal Music Group.
As an incredible success in both Holland and the U.S., The Voice has been franchised out to many other countries in the world and has been a big rival to the Idol franchise.
What is the requirement for contestants?
Phương pháp cơ bản của số hóa âm thanh là gì?
Vai trò của phong trào Tây Sơn cuối thế kỉ XVIII là gì?
Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct answer to each of the questions:
For many people who live in cities, parks are an important part of the landscape. They provide a place for people to relax and play sports, as well as a refuge from the often harsh environment of a city. What people often overlook is that parks also provide considerable environmental benefits.
One benefit of parks is that plants absorb carbon dioxide - a key pollutant - and emit oxygen, which humans need to breathe. According to one study, an acre of trees can absorb the same amount of carbon dioxide that a typical car emits in 11,000 miles of driving. Parks also make cities cooler. Scientists have long noted what is called the Urban Heat Island Effect: building materials such as metal, concrete, and asphalt absorb much more of the sun’s heat and release it much more quickly than organic surfaces like trees and grass. Because city landscapes contain so much of these building materials, cities are usually warmer than surrounding rural areas. Parks and other green spaces help to mitigate the Urban Heat Island Effect.
Unfortunately, many cities cannot easily create more parks because most land is already being used for buildings, roads, parking lots, and other essential parts of the urban environment. However, cities could benefit from many of the positive effects of parks by encouraging citizens to create another type of green space: rooftop gardens. While most people would not think of starting a garden on their roof, human beings have been planting gardens on rooftops for thousands of years. Some rooftop gardens are very complex and require complicated engineering, but others are simple container gardens that anyone can create with the investment of a few hundred dollars and a few hours of work.
Rooftop gardens provide many of the same benefits as other urban park and garden spaces, but without taking up the much-needed land. Like parks, rooftop gardens help to replace carbon dioxide in the air with nourishing oxygen. They also help to lessen the Urban Heat Island Effect, which can save people money.
In the summer, rooftop gardens prevent buildings from absorbing heat from the sun, which can significantly reduce cooling bills. In the winter, gardens help hold in the heat that materials like brick and concrete radiate so quickly, leading to savings on heating bills. Rooftop vegetable and herb gardens can also provide fresh food for city dwellers, saving them money and making their diets healthier. Rooftop gardens are not only something everyone can enjoy, they are also a smart environmental investment.
Question 37: Using the information in paragraph 2 as a guide, it can be inferred that ______.
chọn đúng hoặc sai với mỗi ý a), b), c), d)
Một bình dưỡng khí dùng cho thợ lặn có thể tích chứa không khí \({V_1} = 3,0l,\) khí trong bình được nén đến \({p_1} = 15,0{\rm{MPa}}.\) Bình được nối thông khí với một bình khác đang có không khí cùng nhiệt độ, ở áp suất \({p_0} = 0,10{\rm{MPa}}\) và thể tích \({V_0} = 39,0l.\) Xét đến khi áp suất hai bình bằng nhau và bằng p, nhiệt độ của khí ở hai bình bằng với nhiệt độ khi chưa nối. Bỏ qua thể tích của phần ống nối hai bình.
Cơ chế thị trường là hệ thống các quan hệ kinh tế mang tính tự điều chỉnh tuân theo yêu cầu của các quy luật kinh tế như: quy luật cạnh tranh, cung cầu, giá cả, lợi nhuận,... chi phối hoạt động của các chủ thể kinh tế, đóng vai trò như bàn tay vô hình điều tiết:
Phân tích, đánh giá một truyện kể: chủ đề, những nét đặc sắc về hình thức nghệ thuật thuộc kiểu bài gì?
Nội dung nào sau đây không phải là cơ sở hình thành nền văn minh Ấn Độ cổ - trung đại?
PHẦN I. Câu trắc nghiệm nhiều phương án lựa chọn. Thí sinh trả lời từ câu 1 đến câu 12. Mỗi câu hỏi thí sinh chỉ chọn một phương án.
. Khẳng định nào dưới đây là đúng?
The situation (recently/ change)………………
Nội dung nào sau đây không phản ánh đúng lí do cần thiết phải học tập lịch sử suốt đời?
Hãy cho biết: Sự biến động số lượng thỏ và mèo rừng Canada theo chu kì 9 – 10 năm. Đây là kiểu biến động số lượng cá thể trong quần thể nào?
Điểm khác biệt của pháp luật với Điều lệ Đoàn Thanh niên Cộng sản Hồ Chí Minh là gì?
Choose a suitable word or phrase (marked A, B, C, or D) to fill in each blank.
Bell experimented with ways of transmitting_____________ over a long distance.
Thí nghiệm chứng minh quá trình hô hấp thải CO2 dựa trên nguyên lí nào sau đây?
Read the following passage about the Exploring The Universe and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
Science is a vast and fascinating field that seeks to understand the natural world and the universe beyond[I]. It encompasses various disciplines, including physics, chemistry, biology, and astronomy[II]. Each of these areas contributes to our understanding of complex phenomena, [III]. For instance, scientific research has led to significant breakthroughs in medicine, renewable energy, and environmental conservation[IV]. In this essay, we will explore the impact of science on our lives, particularly focusing on space exploration.
One of the most intriguing aspects of science is space exploration. Humans have always looked to the stars, wondering what lies beyond our planet. The launch of satellites and manned missions has allowed us to gather valuable information about the cosmos. For example, NASA's Mars Rover has provided insight into the potential for life on other planets. Through meticulous research and data collection, scientists can analyze soil samples and atmospheric conditions, paving the way for future explorations.
Space exploration also raises critical questions about our existence and the future of humanity. As we continue to advance technologically, the prospect of colonizing other planets becomes more plausible. This endeavor could serve as a solution to the challenges we face on Earth, such as overpopulation and resource depletion. However, ethical considerations must guide these efforts. We must ensure that we do not repeat the mistakes of history, such as the exploitation of natural resources and indigenous populations.
Moreover, scientific advancements have enabled us to develop technologies that enhance our understanding of the universe. Telescopes and space probes allow us to observe distant galaxies, study black holes, and uncover the mysteries of dark matter. Each discovery leads to new questions, further fueling our curiosity and drive for knowledge. The concept of the multiverse, for instance, challenges our understanding of reality and pushes the boundaries of scientific thought.
In addition to exploring the universe, science plays a crucial role in addressing pressing issues on Earth. Climate change, for example, is a significant concern that scientists are actively investigating. Through climate models and data analysis, researchers can predict future trends and propose solutions to mitigate the effects of global warming. Public awareness and education are essential in fostering a collective response to environmental challenges.
As we reflect on the wonders of science, it is clear that its contributions extend far beyond mere knowledge acquisition. Science empowers us to make informed decisions about our health, environment, and future. By fostering a culture of curiosity and critical thinking, we can inspire future generations to continue exploring the unknown.
The phrase “paving the way” in paragraph 2 could be best replaced by_______.
- Trong mỗi ý a), b), c), d) ở mỗi câu, thí sinh chọn đúng hoặc sai.
Cho các biến cố \({\rm{A}},{\rm{B}}\) thoả mãn \({\rm{P}}({\rm{A}} \cap {\rm{B}}) = \frac{1}{5};{\rm{P}}({\rm{A}} \cap \overline {\rm{B}} ) = \frac{3}{{10}};{\rm{P}}({\rm{B}}) = \frac{2}{5}.\)
Cho đồ thị hàm số \(y = {\log _a}x\left( {0 < a \ne 1} \right)\) có đồ thị là hình dưới đây: Tìm a?
Khối lượng nguyên tử sodium (kí hiệu là Na) là 38,1643.10–27 kg và theo định nghĩa 1 amu = 1,6605.10–27 kg. Khối lượng mol nguyên tử Na (g/mol) và khối lượng nguyên tử Na (amu) lần lượt là