A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm respectively. The resistance of the conductor is . If the resistivity of the material is , the value of is ________. [2023]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm respectively. The resistance of the conductor is $n \times 10^{- 3} Ω$ . If the resistivity of the material is $2.4 \times 10^{- 8} Ω m$ , the value of $n$ is ________. [2023]

Ans.
(2)

$R = ρ \frac{l}{A}, the cross-sectional area is π (b^{2} - a^{2})$

$R = ρ \frac{l}{π (b^{2} - a^{2})} = \frac{2.4 \times 10^{- 8} \times 3.14}{3.14 \times (4^{2} - 2^{2}) \times 10^{- 6}} = 2 \times 10^{- 3} Ω$

$\Rightarrow n = 2$

Want Us to Email you About Special Offers & Updates?