When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in length will be ........ $cm$

  • A

    $0.5 $

  • B

    $2$

  • C

    $4$

  • D

    $8$

Similar Questions

A wire of area of cross-section ${10^{ - 6}}{m^2}$ is increased in length by $0.1\%$. The tension produced is $1000 N$. The Young's modulus of wire is

Which one is more elastic, steel or plastic ? Why ?

A steel wire of length ' $L$ ' at $40^{\circ}\,C$ is suspended from the ceiling and then a mass ' $m$ ' is hung from its free end. The wire is cooled down from $40^{\circ}\,C$ to $30^{\circ}\,C$ to regain its original length ' $L$ '. The coefficient of linear thermal expansion of the steel is $10^{-5} { }^{\circ}\,C$, Young's modulus of steel is $10^{11}\, N /$ $m ^2$ and radius of the wire is $1\, mm$. Assume that $L \gg $ diameter of the wire. Then the value of ' $m$ ' in $kg$ is nearly

Figure shows graph between stress and strain for a uniform wire at two different femperatures. Then

Column$-II$ is related to Column$-I$. Join them appropriately :

Column $-I$  Column $-II$ 
$(a)$ When temperature raised Young’s modulus of body $(i)$ Zero
$(b)$ Young’s modulus for air $(ii)$ Infinite
  $(iii)$ Decreases
  $(iv)$Increases