SATHEE: Electrostatics Question 725

Electrostatics Question 725

Question: A particle of charge - q and mass m moves in a circle of radius r around an infinitely long line charge of linear charge density $+ λ .$ Then time period will be

Options:

A) $T = 2 π r \sqrt{\frac{m}{2 k λ q}}$

B) $T^{2} = \frac{4 π^{2} m}{2 k λ q} r^{3}$

C) $T = \frac{1}{2 π r} \sqrt{\frac{2 k λ q}{m}}$

D) $T = \frac{1}{2 π r} \sqrt{\frac{m}{2 k λ q}}$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] We have centripetal force equation

$q (\frac{2 k λ}{r}) = \frac{m v^{2}}{r} so v = \sqrt{\frac{2 k q λ}{m}}$

$Now, T = \frac{2 π r}{v} = 2 π r \sqrt{\frac{m}{2 k q λ}} where k = \frac{1}{4 π ε_{0}}$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Electrostatics Question 725

Question: A particle of charge - q and mass m moves in a circle of radius r around an infinitely long line charge of linear charge density +λ. Then time period will be

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

Question: A particle of charge - q and mass m moves in a circle of radius r around an infinitely long line charge of linear charge density $+ λ .$ Then time period will be