$A$ force of $10 \,N$ is required to break a wire of radius $1 \,mm$. The force required to break the wire of the same material, but radius $3 \,mm$ will be

When a force $F_1$ is applied on a metallic wire, the length of the wire is $L_1$. If a force $F_2$ is applied on the same wire, the length of the wire is $L_2$. The original length of the wire $L$ is

The increase in length is $l$ of a wire of length $L$ by the longitudinal stress. Then the stress is proportional to

$A$ vertical hanging bar of length $l$ and mass $m$ per unit length carries a load of mass $M$ at its lower end. Its upper end is clamped to a rigid support. The tensile stress at a distance $x$ from the support is (where $A$ is the area of cross-section of the bar):

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: Steel is used in the construction of buildings and bridges.
Reason $R$: Steel is more elastic and its elastic limit is high.
In the light of the above statements,choose the most appropriate answer from the options given below:

Define plastic deformation and tensile strength.