State whether the following statements are true or false.

A wire of length L and resistance R is stretched so that length is doubled and area of cross-section is halved. If the length is doubled and the area is halved, the resistance increases fourfold.The resistivity does not change. Resistivity is an inherent feature of a substance that cannot be scaled.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

True

False

answer is A.

(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

The given statement is true.
Concept- Use the relationship between a material's resistance, length, area, and resistivity.
Formula used:

Then,

Hence, the correct answer is (i) If the length is doubled and the area is halved, the resistance increases fourfold.
(ii) The resistivity does not change. Resistivity is an inherent feature of a substance that cannot be scaled.
Hence,the given statement is true.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th