Question 137: Properties of Matter

Question

The length of a metal wire is l
1
, when the tension in it is T
1
and is l
2
when the tension is T
2
. The natural length of the wire is :

Accepted Answer

$${T_1} = k({l_1} - {l_0})$$
$${T_2} = k({l_2} - {l_0})$$
$${{{T_1}} \over {{T_2}}} = {{{l_1} - {l_0}} \over {{l_2} - {l_0}}}$$
$${{{T_1}{l_2} - {T_2}{l_1}} \over {{T_1} - {T_2}}} = {l_0}$$

Answer

$$\sqrt {{l_1}{l_2}} $$

Answer

$${{{l_1}{T_2} - {l_2}{T_1}} \over {{T_2} - {T_1}}}$$

Answer

$${{{l_1}{T_2} + {l_2}{T_1}} \over {{T_2} + {T_1}}}$$

Answer

$${{{l_1} + {l_2}} \over 2}$$

Properties of Matter

The length of a metal wire is l 1 , when the tension in it is T 1 and is l 2 when the tension is T 2 . The natural length of the wire is :

Choose the correct answer: