The diagram shows the stress versus strain curve for materials $A$ and $B$. From the curves,we can infer that

  • A
    $A$ is brittle but $B$ is ductile
  • B
    $A$ is ductile but $B$ is brittle
  • C
    Both $A$ and $B$ are ductile
  • D
    Both $A$ and $B$ are brittle

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The stress-strain graph of two wires $A$ and $B$ is shown in the figure. If $Y_{A}$ and $Y_B$ are Young's moduli of materials of wires $A$ and $B$ respectively, then

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Assertion $(A)$: Ductile metals are used to prepare thin wires.
Reason $(R)$: In the stress-strain curve of ductile metals,the length between the points representing elastic limit and breaking point is very small.

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$(a)$ Which of the materials has the greater Young's modulus?
$(b)$ Which of the two is the stronger material?

The graph shows the behavior of a length of wire in the region for which the substance obeys Hooke's law. $P$ and $Q$ represent:

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