Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6

Q.

Two long concentric conducting cylinders with cross section as shown in figure have radii R and 2R.The inner one carries a charge per unit length. A particle of mass m and negative charge of magnitude q is projected at a velocity v0 perpendicular to common axis. The projection is done from a point at a distance 3R2from the axis of cylinders. Choose correct statement(s).

Question Image

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

Maximum v0 such that it does not touch the outer cylinder is 16qλ7πε0mln(43)

b

Maximum v0 such that it does not touch the outer cylinder is qλ2πε0m[1+2ln(43)]

c

If v0=qλ4πε0m then particle moves in a circular path

d

If v0=qλ2πε0m then particle moves in a circular path

answer is B, D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

2kλqr=mv2r        λq2π0m=v

Question Image

3R22Rλq2π0rdr=λq2π0ln43

12mv02=12mλq2π0m+λ2π0ln43

v0=λq2π0m[1+2ln43]

Watch 3-min video & get full concept clarity

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon