CURRENT AFFAIRS

2023

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A wire has a resistance R.What is the resistance when both the length and cross sectional Area of the wire are doubled?
A
R/4
B
R/2
C
R
D
4R
Explanation: 

Detailed explanation-1: -Thus its resistance will remain the same.

Detailed explanation-2: -The property of substance by virtue of which it opposes the flow of current through it, is known as the resistance. ∴ When the length and area of cross-section both are doubled, then its resistance will remain the same.

Detailed explanation-3: -(a) Resistance of a wire is directly proportional to the length of a wire; so if the length is doubled, resistance is also doubled. (b) Resistance of a wire is inversely proportional to the area of cross-section the wire. Thus, if radius is doubled, area increases four times and hence the resistance becomes one-fourth.

Detailed explanation-4: -Resistance is directly proportional to the length. Hence, if length is doubled, resistance is also doubled.

Detailed explanation-5: -Resistance is directly proportional to length and inversely proportional to the cross-sectional area. So if the length is halved and the cross-sectional area doubled, the resistance will become one-fourth of the original value.

There is 1 question to complete.