NEET Exam > NEET Questions > A 10eV electron is circulating in a plane at ...
Start Learning for Free
A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm?
Most Upvoted Answer
A 10eV electron is circulating in a plane at right angles to a uniform...
Community Answer
A 10eV electron is circulating in a plane at right angles to a uniform...
**Given Data:**
- Energy of the electron (E) = 10 eV
- Magnetic induction (B) = 10^-4 Wb/m^2
**Formula:**
The formula to calculate the radius of the circular path of a charged particle in a magnetic field is:
r = √(2mE)/(eB²)
where,
- r = radius of the circular path
- m = mass of the electron
- E = energy of the electron
- e = charge of the electron
- B = magnetic induction
**Solution:**
1. Convert the energy of the electron from electron volts (eV) to joules (J):
- 1 eV = 1.602 x 10^-19 J
- E = 10 eV = 10 x 1.602 x 10^-19 J = 1.602 x 10^-18 J
2. Substitute the given values into the formula to calculate the radius:
- m = mass of the electron = 9.1 x 10^-31 kg
- e = charge of the electron = 1.6 x 10^-19 C
- B = 10^-4 Wb/m^2
r = √(2 x 9.1 x 10^-31 kg x 1.602 x 10^-18 J) / (1.6 x 10^-19 C x (10^-4 Wb/m^2)²)
3. Simplify the equation:
- Convert the units of magnetic induction from Wb/m^2 to T (Tesla):
1 Wb/m^2 = 1 T
- B = 10^-4 T
r = √(2 x 9.1 x 10^-31 kg x 1.602 x 10^-18 J) / (1.6 x 10^-19 C x (10^-4 T)²)
r = √(2 x 9.1 x 1.602) / (1.6 x (10^4)²) x 10^-31-18+19
r = √(2 x 9.1 x 1.602) / (1.6 x 10²) x 10^-12
r = √(2 x 9.1 x 1.602) / 1.6 x 10¹⁰
r = (√(2 x 9.1 x 1.602)) / (1.6 x 10¹⁰)
r = (√(2 x 9.1 x 1.602)) / (1.6 x 10¹⁰)
r = (√(29.3544)) / (1.6 x 10¹⁰)
r = 5.423 x 10⁻⁵ m
4. Convert the radius from meters to centimeters:
- 1 m = 100 cm
r = 5.423 x 10⁻⁵ m x 100 cm/m
r = 5.423 x 10⁻³ cm
5. The radius of the circular path of the electron is approximately 5.423 x 10⁻³ cm, which is
- Energy of the electron (E) = 10 eV
- Magnetic induction (B) = 10^-4 Wb/m^2
**Formula:**
The formula to calculate the radius of the circular path of a charged particle in a magnetic field is:
r = √(2mE)/(eB²)
where,
- r = radius of the circular path
- m = mass of the electron
- E = energy of the electron
- e = charge of the electron
- B = magnetic induction
**Solution:**
1. Convert the energy of the electron from electron volts (eV) to joules (J):
- 1 eV = 1.602 x 10^-19 J
- E = 10 eV = 10 x 1.602 x 10^-19 J = 1.602 x 10^-18 J
2. Substitute the given values into the formula to calculate the radius:
- m = mass of the electron = 9.1 x 10^-31 kg
- e = charge of the electron = 1.6 x 10^-19 C
- B = 10^-4 Wb/m^2
r = √(2 x 9.1 x 10^-31 kg x 1.602 x 10^-18 J) / (1.6 x 10^-19 C x (10^-4 Wb/m^2)²)
3. Simplify the equation:
- Convert the units of magnetic induction from Wb/m^2 to T (Tesla):
1 Wb/m^2 = 1 T
- B = 10^-4 T
r = √(2 x 9.1 x 10^-31 kg x 1.602 x 10^-18 J) / (1.6 x 10^-19 C x (10^-4 T)²)
r = √(2 x 9.1 x 1.602) / (1.6 x (10^4)²) x 10^-31-18+19
r = √(2 x 9.1 x 1.602) / (1.6 x 10²) x 10^-12
r = √(2 x 9.1 x 1.602) / 1.6 x 10¹⁰
r = (√(2 x 9.1 x 1.602)) / (1.6 x 10¹⁰)
r = (√(2 x 9.1 x 1.602)) / (1.6 x 10¹⁰)
r = (√(29.3544)) / (1.6 x 10¹⁰)
r = 5.423 x 10⁻⁵ m
4. Convert the radius from meters to centimeters:
- 1 m = 100 cm
r = 5.423 x 10⁻⁵ m x 100 cm/m
r = 5.423 x 10⁻³ cm
5. The radius of the circular path of the electron is approximately 5.423 x 10⁻³ cm, which is
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm?
Question Description
A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm?.
A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm?.
Solutions for A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? defined & explained in the simplest way possible. Besides giving the explanation of
A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm?, a detailed solution for A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? has been provided alongside types of A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? theory, EduRev gives you an
ample number of questions to practice A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4 Wb/m^2, the orbital radius of electron is A) 11cm B) 18cm C) 12cm D) 16cm? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup