Home
Class 12
PHYSICS
A uniform wire of resistance R is stretc...

A uniform wire of resistance R is stretched to four times its length. Its new resistance will be

A

4 R

B

64 R

C

8 R

D

16 R

Text Solution

Verified by Experts

The correct Answer is:
D
As, `R=(rhol)/s` . Initially, I denotes length and S. denotes area. When stretched length Increses, radius decrease but volume ramains constant
Volume = l `xx` S Initially
Volume = (4l)S. finally
`4lS.=lSrArr4S.=SrArrS.=S/4`
Finally resistance is R.
`R.=rho.((4l))/(S.)=(rhoxx4l)/(S//4)=16.(rhol)/S=16R`
`R.=16R`
Promotional Banner

Similar Questions

Explore conceptually related problems

A resistance R is stretched to four times its length. Its new resistance will be

A metal resistance R is stretched to double its length. Its new resistance will be ………….. .

A wire of resistance 1 Omega is stretched to double its length. What is the new resistance ?

If a wire of resistance 1Omega is stretched to double its length, then the resistnance will become

A wire of resistance 1 Omega is stretched to double its length. Then its resistance becomes

A wire of resistance 4 Omega is stretched to four times of its original length resistance of wire now becomes

A wire is stretched to n times its length. Then the resistance now will be increase by

A wire of resistivity rho is stretched to double its length. What is its new resistivity ?

If a uniform wire of resistance R is uniformly strethced to n times the orginal length , then new resistance of the wire becomes