MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Conductivity and Resistivity

Answer the fo...

Question

Answer the following questions using the above data:
Wire Length Diameter Material Resistance
$A$ $1$ $2 d$ Aluminium $R_{1}$
$B$ $2 l$ $d / 2$ Constantan $R_{2}$
$C$ $3 l$ $d / 2$ Constantan $R_{3}$
$D$ $1 / 2$ $3 d$ Copper $R_{4}$
$E$ $2 l$ $2 d$ Aluminium $R_{5}$
$F$ $1 / 2$ $4 d$ Copper $R_{6}$
Arrange $R_{1}, R_{3}$ and $R_{5}$ in ascending order of their values. Justify your answer.

Open in App

Solution

$R_{3} > R_{5} > R_{1}$ (Using relation $R = \frac{l}{A}$ and comparison).

Suggest Corrections

thumbs-up

0

Similar questions

Q. Five circles

C_{1}, C_{2}, C_{3}, C_{4}, C_{5}

r_{1}, r_{2}, r_{3}, r_{4}, r_{5}

(r_{1} < r_{2} < r_{3} < r_{4} < r_{5})

C_{i}

C_{i} + 1

touch each other externally for all

i = 1, 2, 3, 4

. If all the five circles touches two straight lines

L_{1}

L_{2}

r_{1} = 2

r_{5} = 32

r_{3}

R_{1}, R_{2}, R_{3}, R_{4}

R_{5}

nearly in phase

A = {1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9, 10, 17, 26, 30}

Which of the following sets of ordered pairs are (i) relations (ii) functions (iii) neither,from A to B
(a)

R_{1} = {(1, 3), (3, 3), (5, 17), (1, 2)}

R_{2} = {(3, 7), (4, 5), (5, 30)}

R_{3} = {(x, y) : x ϵ A, y ϵ B, x + y = 8}

R_{4} = {(x, y) : x ϵ A, y ϵ B, y = x^{2} + 1}

R_{5} = {(x, y) : x ϵ A, y ϵ B, y = 2 x - 1}

Q. Three copper wires of length and cross-sectional area are

(l, A)

(2 l, \frac{A}{2})

(\frac{l}{2}, 2 A)

and their resistance are

R_{1}, R_{2}

R_{3}

respectively. The increasing order of resistances is-

Q. If a polynomial

f (x) = 4 x^{4} - a x^{3} + b x^{2} - c x + 5

(a, b, c \in R)

has four positive real zeros

r_{1}, r_{2}, r_{3}, r_{4}

\frac{r_{1}}{2} + \frac{r_{2}}{4} + \frac{r_{3}}{5} + \frac{r_{4}}{8} = 1

, then value of

a

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Conductivity and Resistivity

PHYSICS

Watch in App

explore_more_icon

Explore more

Conductivity and Resistivity

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon