NEET Exam  >  NEET Questions  >  Two fixed charges A and B of 5micro coulomb e... Start Learning for Free
Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is?
Most Upvoted Answer
Two fixed charges A and B of 5micro coulomb each are separated by a di...
Problem: Find the distance CD when a charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J.

Given:
- Charges A and B with 5 micro coulomb each.
- Distance between A and B is 6m.
- Charge Q of -5 micro coulomb.
- Charge Q is shot through C.
- Kinetic energy of Q is 0.06 J.
- Charge Q comes to rest at point D.

Solution:
1. Calculate the potential energy of charge Q at point C.
- The potential energy of Q at point C is given by the formula: PE = kQq/r, where k is the Coulomb constant (9 x 10^9 Nm^2/C^2), Q and q are the charges, and r is the distance between them.
- Since Q and A have opposite charges, the potential energy of Q at point C is: PE = (9 x 10^9 Nm^2/C^2) x (-5 x 10^-6 C) x (5 x 10^-6 C) / (3m) = -7.5 x 10^-3 J.

2. Calculate the potential energy of charge Q at point D.
- The potential energy of Q at point D is also given by the formula: PE = kQq/r, where r is now the distance between Q and B.
- Since Q and B have the same charge, the potential energy of Q at point D is: PE = (9 x 10^9 Nm^2/C^2) x (-5 x 10^-6 C) x (5 x 10^-6 C) / (3m + CD) = -7.5 x 10^-3 J + (9 x 10^9 Nm^2/C^2) x (-5 x 10^-6 C) x (5 x 10^-6 C) / CD.

3. Use the conservation of energy principle to find the distance CD.
- The kinetic energy of Q at point C is equal to the potential energy of Q at point D: KE = PE.
- Substituting the values, we get: 0.06 J = -7.5 x 10^-3 J + (9 x 10^9 Nm^2/C^2) x (-5 x 10^-6 C) x (5 x 10^-6 C) / CD.
- Rearranging and solving for CD, we get: CD = 1.2 m.

Answer: The distance CD is 1.2 m.
Community Answer
Two fixed charges A and B of 5micro coulomb each are separated by a di...
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

Top Courses for NEET

Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is?
Question Description
Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is?.
Solutions for Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is? 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 Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is? defined & explained in the simplest way possible. Besides giving the explanation of Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is?, a detailed solution for Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is? has been provided alongside types of Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is? theory, EduRev gives you an ample number of questions to practice Two fixed charges A and B of 5micro coulomb each are separated by a distance of 6m . C is the midpoint of the line joining A and B .A charge Q of -5 micro coulomb is shot perpendicular to the line joining A and B through C with kinetic energy 0.06 J. The charge Q comes to rest at a point D. The distance CD is? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
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