Some good revision problems 2.0

This is Season2 of "Some good revision problems"

which was completed succesfully here last year
http://targetiit.com/iit-jee-forum/posts/some-good-revision-problems-2579.html

All the rules are same as mentioned there.....

We will do +2 Physics first...Chapterwise....

Here is first question

Q1Two mutually perpendicular long straight conductors carrying distributed charges of linear charge densities λ1 and λ2 are positioned at distance a from each other.how does interaction between rods depend on a

14 Answers

3
msp ·

eureka i am getting that interaction force is not depend on a

24
eureka123 ·

yeah its independent of a
post ur complete soln.....

3
msp ·

let the rod perpendicular to plane be A and the other be B.

Consider a dq charge on B now the field it experience due to A is

E=Kλ1/x (x is the radial distance of the dq charge from A)

The interaction force =dqE=kxdθλ1λ2/x=> force =Kλ1λ2π

24
eureka123 ·

nops..

check again

24
eureka123 ·

Pity no one is taking inititative to solve the question........

I fear it this thread might be lost...............unlike very succesful previous one......

24
eureka123 ·

ya...
it is written ""long "" in question

1
Shreyan ·

is the answer \frac{2k\pi \lambda _{1}\lambda _{2}}{a} ?

1
Shreyan ·

oh sorry...overlooked #3...
i'll check again...i was so sure that i did it correctly!!

24
eureka123 ·

right answer by karna...

here is next

Q2 A system consists of a thin charged wire ring of radius r and a very long uniformly charged wire oriented along the axis of ring with one ends coinciding with the centre of ring.The total charge on rign is q, and linear charge density of straight wire is λ.Evaluate interaction fore between wire and ring

24
eureka123 ·

So whats the final answer ???

4
UTTARA ·

F axial = ∫ [kλ / R] dQ = kQλ/r

Fradial - > gets cancelled out due to symmetry

So Ans is F = kQλ/R

4
UTTARA ·

4
UTTARA ·

Ya : )

11
virang1 Jhaveri ·

Conservation of angular momentum
dm*v*r = Iω
I =MR2/2
ω = 2dm*v/M*r

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