Out of the two wires $X$ and $Y$ shown below,which one has greater resistance? Justify your answer.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(B) Wire $Y$ has greater resistance.
Resistance $(R)$ of a conductor is given by the formula $R = \rho \frac{l}{A}$,where $\rho$ is the resistivity,$l$ is the length,and $A$ is the cross-sectional area.
Since both wires have the same cross-sectional area $(A)$ and are made of the same material (same $\rho$),the resistance is directly proportional to the length $(l)$ of the wire $(R \propto l)$.
As the length of wire $Y$ $(2l)$ is greater than the length of wire $X$ $(l)$,wire $Y$ has greater resistance.

Explore More

Similar Questions

Which of the following statements is $NOT$ true for a series combination of two resistors?

$A$ student carries out an experiment and plots the $V-I$ graph of three samples of nichrome wire with resistances $R_1, R_2$ and $R_3$ respectively (Figure). Which of the following is true?

Two conductors,one having resistance $R$ and another $2R$ are connected in turn across a $dc$ source. If the rate of heat produced in the two conductors is $Q_{1}$ and $Q_{2}$ respectively,what is the value of $Q_{1} / Q_{2}$?

Name and define the $SI$ unit of resistance. Calculate the resistance of a resistor if the current flowing through it is $200\, mA$, when the applied potential difference is $0.8\, V$.

The $SI$ unit of resistivity of the material is $......$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo