Home
Class 12
PHYSICS
If a 0.1 % increase in length due to str...

If a `0.1 %` increase in length due to stretching, the percentage increase in its resistance will be

A

`0.2%`

B

`2%`

C

`1%`

D

`0.1%`

Text Solution

Verified by Experts

The correct Answer is:
A
As, `R=(rhol)/S` For a given wire, `rho` and volume V are constant. Take log and differentiate for small variations.
`R=(rhol)/"(volume/l)"=(rl^2)/"volume"`
`logR=2logl+log(rho/"volume")`
`(dR)/R=(2dl)/l`
For determining percentage, put R = 100
`therefore (dR)/(100)=2xx(0.1)/(100)rArrdR=0.2%`
Promotional Banner

Similar Questions

Explore conceptually related problems

If an increase in length of copper wire is 0.5% due to stretching, the percentage increase in its resistance will be

A cylindrical wire is stretched to increase its length by 10%. The percentage increase in the resistance of the wire will be–

A cylindrical wire is stretched to increase its length by 10%. Calculate the percentage increase in resistance.

If the length of a conductor is increased by 100% keeping its area of cross-section constant, the percentage increase in its resistance is

If an iron wire is drawn to decrease its radius by0.5% .Then percentage of increase in its resistance will be

Find the approximate percentage increase in a cube of side x metre if the percentage increase in its side is 1%.

On increasing the radius of a shpere by 10%, find the percentage increase in its volume