The diagram shows the change $x$ in the length of a thin uniform wire caused by the application of stress $F$ at two different temperatures $T_1$ and $T_2$. The variations shown suggest that
${T_1} > {T_2}$
${T_1} < {T_2}$
${T_1} = {T_2}$
None of these
Auniform rod rotating in gravity free region with certain constant angular velocity. The variation of tensile stress with distance $x$ from axis of rotation is best represented by which of the following graphs.
In Column$-I$ there are two graphs and in Column$-II$ whose graph is for this are given. Join them appropriately :
Column $-I$ | Column $-II$ |
$(a)$ image | $(i)$ $A$ is ductile |
$(b)$ image | $(ii)$ $A$ is brittle |
$(iii)$ $B$ is ductile | |
$(iv)$ $B$ is brittle |
The stress versus strain graphs for wires of two materials $A$ and $B$ are as shown in the figure. If $Y_A$ and $Y_B$ are the Young's modulus of the materials, then
The stress-strain graphs for materials $A$ and $B$ are shown in Figure
The graphs are drawn to the same scale.
$(a)$ Which of the materials has the greater Young’s modulus?
$(b)$ Which of the two is the stronger material?
The diagram shows a force-extension graph for a rubber band. Consider the following statements
$I.$ It will be easier to compress this rubber than expand it
$II.$ Rubber does not return to its original length after it is stretched
$III.$ The rubber band will get heated if it is stretched and released
Which of these can be deduced from the graph