Class 12 Exam  >  Class 12 Questions  >  A particle is rotating in a circle of radii r... Start Learning for Free
A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)?
Most Upvoted Answer
A particle is rotating in a circle of radii r=2/pi m with constant spe...
Explanation:

To find the time interval when the particle completes 1/4th of the circle, we need to determine the time it takes to cover one-fourth of the circumference of the circle.

Step 1: Calculate the circumference of the circle:
The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius is given as r = 2/π m.

C = 2π(2/π) = 4 m

Step 2: Calculate the time taken to cover the whole circumference:
We know that the speed of the particle is constant and equal to 1 m/s. The formula to calculate the time taken to cover a distance is t = d/v, where d is the distance and v is the speed.

In this case, the distance is equal to the circumference of the circle, which is 4 m. Therefore, the time taken to cover the whole circumference is:

t = 4 m / 1 m/s = 4 s

Step 3: Calculate the time taken to cover 1/4th of the circumference:
To find the time taken to cover 1/4th of the circumference, we divide the total time taken to cover the whole circumference by 4.

t = 4 s / 4 = 1 s

Therefore, the time interval when the particle completes 1/4th of the circle is 1 second.

Conclusion:
The average speed (p) of the particle is not required to find the time interval when it completes 1/4th of the circle. The time interval is determined solely by the time taken to cover the distance, which is given by the formula t = d/v. In this case, the time interval is 1 second.
Explore Courses for Class 12 exam

Similar Class 12 Doubts

Read the following text and answer the following questions on the basis of the same:Earth’s magnetism: Earth’s magnetic field is caused by a dynamo effect. The effect works in the same way as a dynamo light on a bicycle. Magnets in the dynamo start spinning when the bicycle is pedaled, creating an electric current. The electricity is then used to turn on the light. This process also works in reverse. If you have a rotating electric current, it will create a magnetic field. On Earth, flowing of liquid metal in the outer core of the planet generates electric currents. The rotation of Earth on its axis causes these electric currents to form a magnetic field which extends around the planet. The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface. The magnetic field is extremely important for sustaining life on Earth. Without it, we would be exposed to high amounts of radiation from the Sun and our atmosphere would be free to leak into space. This is likely what happened to the atmosphere on Mars. As Mars doesn’t have flowing liquid metal in its core, it doesn’t produce the same dynamo effect. This left the planet with a very weak magnetic field, allowing for its atmosphere to be stripped away by solar winds, leaving it uninhabitable. Based upon the study of lava flows throughout the world, it has been proposed that the Earth's magnetic field reverses at an average interval of approximately 300,000 years. However, the last such event occurred some 780,000 years ago.Electric current in the Earth’s body is generated due to

Read the following text and answer the following questions on the basis of the same:Earth’s magnetism: Earth’s magnetic field is caused by a dynamo effect. The effect works in the same way as a dynamo light on a bicycle. Magnets in the dynamo start spinning when the bicycle is pedaled, creating an electric current. The electricity is then used to turn on the light. This process also works in reverse. If you have a rotating electric current, it will create a magnetic field. On Earth, flowing liquid metal in the outer core of the planet generates electric currents. The rotation of Earth on its axis causes these electric currents to form a magnetic field which extends around the planet. The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface. The magnetic field is extremely important for sustaining life on Earth. Without it, we would be exposed to high amounts of radiation from the Sun and our atmosphere would be free to leak into space. This is likely what happened to the atmosphere on Mars. As Mars doesn’t have flowing liquid metal in its core, it doesn’t produce the same dynamo effect. This left the planet with a very weak magnetic field, allowing for its atmosphere to be stripped away by solar winds, leaving it uninhabitable. Based upon the study of lava flows throughout the world, it has been proposed that the Earth's magnetic field reverses at an average interval of approximately 300,000 years. However, the last such event occurred some 780,000 years ago.Which of the followings is the reason for Earth’s magnetism?

Read the following text and answer the following questions on the basis of the same: Earth’s magnetism: Earth’s magnetic field is caused by a dynamo effect. The effect works in the same way as a dynamo light on a bicycle. Magnets in the dynamo start spinning when the bicycle is pedaled, creating an electric current. The electricity is then used to turn on the light. This process also works in reverse. If you have a rotating electric current, it will create a magnetic field. On Earth, flowing liquid metal in the outer core of the planet generates electric currents. The rotation of Earth on its axis causes these electric currents to form a magnetic field which extends around the planet. The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface. The magnetic field is extremely important for sustaining life on Earth. Without it, we would be exposed to high amounts of radiation from the Sun and our atmosphere would be free to leak into space. This is likely what happened to the atmosphere on Mars. As Mars doesn’t have flowing liquid metal in its core, it doesn’t produce the same dynamo effect. This left the planet with a very weak magnetic field, allowing for its atmosphere to be stripped away by solar winds, leaving it uninhabitable. Based upon the study of lava flows throughout the world, it has been proposed that the Earth's magnetic field reverses at an average interval of approximately 300,000 years. However, the last such event occurred some 780,000 years ago.Which of the following statements is true?

A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)?
Question Description
A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)?.
Solutions for A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? defined & explained in the simplest way possible. Besides giving the explanation of A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)?, a detailed solution for A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? has been provided alongside types of A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? theory, EduRev gives you an ample number of questions to practice A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev