Which of the following wires, all made of the same material has the highest resistance

$L = 100 c m, r = 0.1 c m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$L = 200 c m, r = 0.2 c m$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$L = 300 c m, r = 0.3 c m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$L = 400 c m, r = 0.4 c m$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
$L = 200 c m, r = 0.2 c m$

Explanation
We know that
$R = \frac{ρ L}{A}$
Here, resistivity of the material remains constant.
$∴$ $R α \frac{L}{A}$
Among the options given, the $\frac{L}{A}$ ratio is maximum for $L = 200 c m$
Hence, Option (B) is the correct answer.

Suggest Corrections

Similar questions

Q. Which has less electrical resistance : a thin wire or a thick wire (of the same length and same material)?

The V-I graph for four different wires of different materials having the same length and diameter are shown in the figure. Which one of the following wire has the highest resistivity?

Join BYJU'S Learning Program

Which of the following wires, all made of the same material has the highest resistance

The correct option is B L=200cm,r=0.2cmExplanationWe know thatR=ρLAHere, resistivity of the material remains constant.∴RαLAAmong the options given, the LAratio is maximum for L=200cmHence, Option (B) is the correct answer.

The correct option is B
$L = 200 c m, r = 0.2 c m$

Explanation
We know that
$R = \frac{ρ L}{A}$
Here, resistivity of the material remains constant.
$∴$ $R α \frac{L}{A}$
Among the options given, the $\frac{L}{A}$ ratio is maximum for $L = 200 c m$
Hence, Option (B) is the correct answer.