Question

Q. a) list the factors on which the resistance of a cylindrical conductor depends and hence, Write an expression for its resistance.
b) How will the resistivity of a connector change when its length is tripled by stretching is ?​

Answer 1

So now cylindrical conductor is nothing but it's a wire!

So it's simple,

Resistance depends on following :-

(1)Resistivity of the conductor, hey it's natural property and fixed for a substance

(2)area of cross section, actually it's inversely proportional,

(3) length of the wire (directly proportional)

Now accordingly,

R = p l /A

Here,

P = resistivity

Or you can say 1/P is conductivity

I = length of wire

A = area of cross section

Question 2 :-

Volume of conductor will remain constant,

So, V =l*A is constant

Now length is tripled

So new length l' = 3l

Volume constant,

New area of cross section,

A' = V/l' = l*A /3l = A/3

You have asked about resistivity, it will remain constant for a particular substance

But new resistance,

R' = p*3l /(A/3) = 9 pl/A = 9R

Answered by an IIT JEE ASPIRANT and all India mathematics OLYMPIAD TOPPER in class 10th!

Since you are in 10th (I am also), so I am just answering according to the requirements, and I know even the 12th class physics!

Fore any further help in physics, chemistry or mathematics,

Look at my profile,

Something is written there!

Your welcome MISS